[SOLVED] Test the claim about the population variance σ

> Construct the indicated confidence interval for Âµ1 - Âµ2. Construct a 95% confidence interval for the difference between the mean annual salaries of entry level software engineers in Raleigh, North Carolina, and Wichita, Kansas,

> Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Los Angeles, California, equal to $10,000? To decide, you select a random sample of entry level architects from each city. The results of each survey ar

> Is the difference between the mean annual salaries of entry level software engineers in Raleigh, North Carolina, and Wichita, Kansas, more than $2000? To decide, you select a random sample of entry level software engineers from each city. The results of

> Construct the indicated confidence interval for the population mean µ. Which distribution did you use to create the confidence interval? c = 0.95, x = 3.46, s = 1.63, n = 16

> Explain why the null hypothesis H0: µ1 ≥ µ2 is equivalent to the null hypothesis H0: µ1 - µ2 ≥ 0.

> Explain why the null hypothesis H0: µ1 = µ2 is equivalent to the null hypothesis H0: µ1 - µ2 = 0.

> a. identify the claim and state H0, and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decisio

> Explain how to perform a two-sample z-test for the difference between two population means using independent samples with σ1 and σ2 known.

> a. identify the claim and state H0, and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decisio

> Construct the indicated confidence interval for the population mean µ. Which distribution did you use to create the confidence interval? c = 0.95, x = 26.97, σ = 3.4, n = 42

> a. Identify the claim and state H0 and Ha. b. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. c. Choose one of the options. Option

> a. identify the claim and state H0, and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decisio

> Test the claim about the difference between two population means µ1 and µ2 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 ≤ µ2; α = 0.03 Population statistics: σ1 =

> Test the claim about the difference between two population means µ1 and µ2 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 < µ2; α = 0.05 Population statistics: σ1 =

> Test the claim about the difference between two population means µ1 and µ2 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 > µ2; α = 0.10 Population statistics: σ1 =

> Test the claim about the difference between two population means µ1 and µ2 at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ1 = µ2; α = 0.1 Population statistics: σ1 = 3

> Use the TI-84 Plus display to make a decision to reject or failÂ to reject the null hypothesis at the level of significance. Make your decision using the standardized test statistic and using the P-value. Assume the sample sizes are equal. &Ic

> What is the difference between two samples that are dependent and two samples that are independent? Give an example of each.

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Two-tailed test, n = 81, α = 0.10

> The table shows the gas mileages (in miles per gallon) of eight cars with and without using a fuel additive. At Î± = 0.10, is there enough evidence to conclude that the additive improved gas mileage? Assume the populations are normally distr

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Left-tailed test, n = 24, α = 0.05

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Left-tailed test, n = 7, α = 0.01

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Right-tailed test, n = 10, α = 0.10

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Right-tailed test, n = 27, α = 0.05

> Explain how to test a population variance or a population standard deviation.

> You can calculate the P-value for a chi-square test using technology. After calculating the standardized test statistic, use the cumulative distribution function (CDF) to calculate the area under the curve. From Example 4 on page 397, x2 = 43.2. Using a

> a.Â identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic x2, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret

> In a survey of 3015 U.S. adults, 80% say their household contains a desktop or laptop computer. a. Construct a 95% confidence interval for the proportion of U.S. adults who say their household contains a desktop or laptop computer. b. A researcher clai

> How do the requirements for a chi-square test for a variance or standard deviation differ from a z-test or a t-test for a mean?

> a.Â identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic x2, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic x2, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decisio

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ = 24.9; α = 0.10. Sample statistics: s = 29.1, n = 51

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ < 40; α = 0.01. Sample statistics: s = 40.8, n = 12

> A researcher claims that 5% of people who wear eyeglasses purchase their eyeglasses online. Describe type I and type II errors for a hypothesis test of the claim.

> Can a critical value for the chi-square test be negative? Explain.

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ2 ≠ 32.8; α = 0.1. Sample statistics: s2 = 40.9, n = 101

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ2 > 19; α = 0.1. Sample statistics: s2 = 28, n = 17

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ2 ≤ 17.6; α = 0.01. Sample statistics: s2 = 28.33, n = 41

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ2 ≥ 8.5; α = 0.05. Sample statistics: s2 = 7.45, n = 23

> Test the claim about the population variance σ2 or standard deviation σ at the level of significance α. Assume the population is normally distributed. Claim: σ2 = 0.52; α = 0.05. Sample statistics: s2 = 0.508, n = 18

> State whether each standardized test statistic x2 allows you to reject the null hypothesis. Explain. a. x2 = 22.302 b. x2 = 23.309 c. x2 = 8.457 d. x2 = 8.577 5 10 is 20 is 30 x = 8.547 22.307

> State whether each standardized test statistic x2 allows you to reject the null hypothesis. Explain. a. x2 = 2.091 14. b. x2 = 0 c. x2 = 1.086 d. x2 = 6.3471 2 10 6.251

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Two-tailed test, n = 31, α = 0.05

> A random sample of 40 ostrich eggs has a mean incubation period of 42 days. Assume the population standard deviation is 1.6 days. a. Construct a 95% confidence interval for the population mean incubation period. b. A zoologist claims that the mean incu

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Right-tailed test, n = 30, α = 0.01

> Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α. Two-tailed test, n = 61, α = 0.01

> Explain how to find critical values in a chi-square distribution.

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> A medical research team studied the use of a marijuana extract to treat children with an epilepsy disorder. Of the 52 children who were given the extract, the number of convulsive seizures was reduced from 12 to 6 per month. Of the 56 children who were g

> Use the information below. When you know the number of successes x, the sample size n, and the population proportion p, it can be easier to use the formula to find the standardized test statistic when using a z-test for a population proportion p. The al

> Explain how to test a population proportion p.

> Use the information below. When you know the number of successes x, the sample size n, and the population proportion p, it can be easier to use the formula to find the standardized test statistic when using a z-test for a population proportion p. Rework

> Use the figure at the left, which suggests what adults think about protecting the environment. You interview a random sample of 100 adults. The results of the survey show that 59% of the adults said they live in ways that help protect the environment so

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A humane society claims that 5% of

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A humane society claims that less

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A research center claims that at m

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. A research center claims that 27%

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> The annual earnings (in dollars) for 30 randomly selected locksmiths are shown below. Assume the population is normally distributed. a. Construct a 95% confidence interval for the population mean annual earnings for locksmiths. b. A researcher claims t

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic z, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> Explain how to determine whether a normal distribution can be used to approximate a binomial distribution.

> State whether each standardized test statistic t allows you to reject the null hypothesis. Explain. a. t = 2.091 b. t = 0 c. t = -2.096 4 / -i oi234 --2.086 O 1 2 3

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Two-tailed test, σ = 0.10, n = 38

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Two-tailed test, σ = 0.05, n = 27

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Right-tailed test, σ = 0.01, n = 31

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Right-tailed test, σ = 0.05, n = 23

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Left-tailed test, σ = 0.01, n = 35

> You are testing a claim and incorrectly use the standard normal sampling distribution instead of the t-sampling distribution. Does this make it more or less likely to reject the null hypothesis? Is this result the same no matter whether the test is left-

> Decide whether you should use the standard normal sampling distribution or a t-sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test

> An education organization claims that the mean SAT scores for male athletes and male non-athletes at a college are different. A random sample of 26 male athletes at the college has a mean SAT score of 1189 and a standard deviation of 218. A random sample

> Decide whether you should use the standard normal sampling distribution or a t-sampling distribution to perform the hypothesis test. Justify your decision. Then use the distribution to test the claim. Write a short paragraph about the results of the test

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. Assume the population is normally

> Find the critical value(s) and rejection region(s) for the type of t-test with level of significance σ and sample size n. Left-tailed test, σ = 0.10, n = 20

> a. identify the claim and state H0 and Ha, b. use technology to find the P-value, c. decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. Assume the population is normally

> a.Â identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

> The mean room rate for two adults for a random sample of 26 three-star hotels in Cincinnati has a sample standard deviation of $31. Assume the population is normally distributed. a. Construct a 99% confidence interval for the population variance. b. Con

> a. identify the claim and state H0 and Ha, b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic t, d. decide whether to reject or fail to reject the null hypothesis, and e. interpret the decision

Question: Test the claim about the population variance σ