Question: a. identify the claim and state H0
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 in the context of the original claim.
Assume the samples are random and independent, and the populations are normally distributed.
Two teaching methods and their effects on science test scores are being reviewed. A group of students is taught in traditional lab sessions. A second group of students is taught using interactive simulation software. The science test scores for the two groups are shown in the back-to-back stem-and-leaf plot.
At α = 0.01, can you support the claim that the mean science test score is lower for students taught using the traditional lab method than it is for students taught using the interactive simulation software? Assume the population variances are equal.
Transcribed Image Text:
Traditional Lab Interactive Simulation Software 4 6 9988766 3 2 1 0| 7 0 4 5577 8 9 8511100 8 00 3 478899 209 139 Key: 0|9|1 = 90 for traditional and 91 for interactive
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> Construct the indicated confidence interval for the population mean µ. Which distribution did you use to create the confidence interval? c = 0.90, x = 8.21, σ = 0.62, n = 8
> 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
> 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
> 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
> 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
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> 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 = 0.01. Assume σ12 ≠ σ22 Sample sta
> 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. Assume σ12 ≠ σ22 Sample sta
> 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. Assume σ12 = σ22 Sample sta
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> Construct the indicated confidence interval for µ1 - µ2. Construct a 99% confidence interval for the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Los Angeles, California, using t
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> 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
> 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
> 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
> 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
> 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
> 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
> 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
> 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 fail 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
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> 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 α = 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
> 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
> 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
> 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. 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?
