How many different four-child families are possible if birth order is taken into account? What is the probability of a four-child family that has two girls and two boys?
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 7, 5, 3, 1, …
> The total weight of three people on an elevator if their weights are 95 lb, 127 lb, and 210 lb
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 5, −5, 5, −5, …..
> The cost of 5 items purchased at a hardware store if the items cost $1.29, $6.86, $12.43, $25.62, and $8.99
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 4, 7, 10, 13, …
> The cost of 5 items at a grocery store if the items cost $7.99, $4.23, $16.82, $3.51, and $20.12
> Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 1, 3, 5, 7, …
> The cost of 12 gallons of gas if one gallon costs $3.75
> Draw the next figure in the pattern (or sequence).
> The amount of money Issac spends on fast food in a year if the average amount he spends per month is $47
> If a ÷ b has a remainder of 0, then a is by ___________ b.
> Draw the next figure in the pattern (or sequence).
> The cost of dinner per person if dinner for 8 people costs $210 and they split the bill evenly
> Draw the next figure in the pattern (or sequence).
> The cost of one tire if a set of 4 tires costs $410
> Draw the next figure in the pattern (or sequence).
> 296.3 ÷ 0.0096
> Use inductive reasoning to predict the next line in the pattern. 10 = 101 100 = 102 1000 = 103 10,000 = 104
> 22% of 9116
> Use inductive reasoning to predict the next line in the pattern.
> 11% of 8221
> The process of arriving at an approximate answer to a question is called____________.
> Use inductive reasoning to predict the next line in the pattern. 15 × 10 =150 16 × 10 =160 17 × 10 =170 18 × 10 =180
> 51, 608 × 6981
> Use inductive reasoning to predict the next line in the pattern. 1 × 3 = 3 2 × 3 = 6 3 × 3 = 9 4 × 3 = 12
> 0.63 × 1523
> The type of reasoning generally used to arrive at a conjecture is called __________ reasoning.
> 405/0.049
> The type of reasoning used to prove a conjecture is called ______________ reasoning.
> 1776 × 0.0098
> The process of reasoning to a specific conclusion from a general statement is called _____________ reasoning.
> 197,500 ÷ 4.063
> Another name for the counting numbers is the ______________ numbers.
> Not getting a correct answer when making a random guess of an answer to a particular multiple-choice question on an SAT test with possible answers of a, b, c, d, e, one of which is correct.
> Not drawing a heart from a standard deck of 52 playing cards (see Figure 6.6). Figure 6.6 Playing cards in a standard 52-card deck.
> Not drawing a queen from a standard deck of 52 playing cards (see Figure 6.6). Figure 6.6 Playing cards in a standard 52-card deck.
> What is the probability of randomly selecting a day of the week whose name includes the letter “d”?
> What is the probability of randomly selecting a day of the week whose name doesn’t include the letter “y”?
> Rolling a single six-sided die and getting a result that is less than 10.
> Finding that the next baby born to a couple is a girl, given that the couple already has two children and they are both boys.
> Finding that when tossing a coin, it turns up heads, given that it has turned up heads in the previous five tosses.
> Finding that the next person you meet has the same birthday as yours (ignoring leap years).
> Finding that the next President of the United States was born on a Saturday.
> Find the probability of randomly selecting one of the test subjects and getting someone who is in Group A and passed the exam.
> Drawing an ace from a standard deck of 52 playing cards (see Figure 6.6) Figure 6.6 Playing cards in a standard 52-card deck.
> Making a correct random guess as an answer to a particular multiple-choice question on an SAT test with possible answers of a, b, c, d, e, one of which is correct.
> Randomly selecting one of the 365 days of the year and getting a day in September.
> Rolling a single six-sided die and getting an odd number (1, 3, or 5).
> Tossing two coins and getting either one head or two heads.
> How many different three-child families are possible if birth order is taken into account? What is the probability of a three-child family with three girls?
> Because either there is life on Mars or there is not, the probability of life on Mars is 0.5.
> I estimate that there is a probability of 0.5 that the batteries in my calculator will need to be replaced sometime during the next 3 years.
> When randomly selecting a month, the probability of selecting a month with 32 or more days is 0.
> Find the probability of randomly selecting two different examinees and finding that they are both in Group A.
> When I toss four coins, there are four different possible outcomes that represent the event of one head and three tails.
> Does the idea of statistical significance apply to samples or populations? Briefly explain why.
> What do we mean when we say that a result is statistically significant?
> Suppose you toss a coin 100 times. Should you expect to get exactly 50 heads? Why or why not?
> A study was conducted to test the hypothesis that people can temporarily postpone death to survive a major holiday or important event such as a birthday. It was found that there were 6062 deaths in the week before Thanksgiving and 5938 in the week after
> New Jersey county clerks are supposed to use random selection to determine the order in which Democrat and Republican candidates are listed on an election ballot. Among the 41 selections listed on one county’s ballot, 40 of them showed the Democrat liste
> In a study of children injured in automobile crashes (published in American Journal of Public Health, Vol. 82, No. 3), those wearing seat belts had a mean stay of 0.83 day in an intensive care unit. Those not wearing seat belts had a mean stay of 1.39 da
> In a study by researchers at the University of Maryland, the body temperatures of 106 individuals were measured; the mean for the sample was 98.20 F. It is commonly believed that the mean body temperature is 98.60 F. The difference between the sample mea
> In a randomized controlled trial in Kenya, insecticide-treated Bed nets were tested as a way to reduce malaria. Among 343 infants who used the Bed nets, 15 developed malaria. Among 294 infants not using Bed nets, 27 developed malaria (based on data from
> The Genetics and IVF Institute conducted a clinical trial of its method for gender selection. The result showed that among 945 babies born to couples using the XSORT method of gender selection, 879 were girls. Is this result statistically significant?
> Find the probability of randomly selecting one of the examinees and getting someone who is in Group B or passed or both.
> An experiment was conducted to determine whether there is a difference in the success rates when carpal tunnel syndrome is treated with surgery or with splinting. The success rate for 73 patients treated with surgery was 92% and the success rate for 83 p
> Thirty identical cars are selected for a fuel test. Half of the cars are filled with regular gasoline, and the other half are filled with a new experimental fuel. The cars in the first group average 29.3 miles per gallon, while the cars in the second gro
> In a clinical trial of a new drug intended to treat allergies, 5 of the 80 subjects in the treatment group experienced headaches, and 8 of the 160 subjects in the control group experienced headaches.
> For a jury pool for one trial, 870 people were selected from a city population in which 79.1% are Americans of Mexican ancestry. Among the 870 selected people, 39% were Americans of Mexican ancestry.
> A commuter enters a New York City subway car near Times Square and finds that it is occupied by 50 men, all of whom are bald.
> Upon entering an aircraft that is nearly full, with 120 passengers, a traveler observes that nearly all of the passengers are adult females.
> In 10 rolls of a six-sided die, the outcome of 6 never occurs.
> In 10 rolls of a six-sided die, the outcome of 6 occurs every time.
> In preparation for a gubernatorial election in Florida, a pollster conducts a survey by randomly selecting 25 voters. He claims that the voters are randomly selected, but he finds that all of them are Independents.
> A student claims that he was not prepared for any of the ten true/false questions on a quiz, and he claims that all of his answers to those questions were random guesses. He finds that all ten of his answers were correct.
> If one of the examinees is randomly selected, find the probability of getting someone who passed the exam.
> In a clinical trial of a treatment for reducing back pain, the difference between the treatment group and the control group (which received no treatment) was found to be statistically significant. This means that the treatment will definitely ease back p
> In an experiment testing a method of gender selection intended to increase the likelihood that a baby is a girl, 1000 couples give birth to 501 girls and 499 boys. A company representative argues that this is evidence that the method is effective, becaus
> In an experiment testing a method of gender selection intended to increase the likelihood that a baby is a girl, 1000 couples give birth to 501 girls and 499 boys. An analyst argues that this fails to provide evidence that the method has any effect, beca
> Results from a study of heart disease have statistical significance because heart disease is such an important health risk for adults.
> What does it mean to say that a particular result is statistically significant at the 0.05 level or at the 0.01 level? Is a result that is statistically significant at the 0.05 level automatically also significant at the 0.01 level? What about the revers
> If one of the subjects is randomly selected, find the probability of selecting someone who told the truth or had a polygraph indication of telling the truth.
> If one of the subjects is randomly selected, find the probability of selecting someone who lied or had a polygraph indication of lying.
> If one of the subjects is randomly selected, find the probability of selecting someone who did not lie and had a polygraph indication of not lying.
> If one of the subjects is randomly selected, find the probability of selecting someone who lied.
> A study sponsored by AT&T and the Automobile Association of America included the sample data in the following table. a. Compare the percentage of cell phone users who had a crash to the percentage of people who did not use a cell phone and had a cras
> If P(A) = 0.65, what is the value of P(not A)?
> Using the samples of service times from all three restaurants, we obtain the analysis of variance results shown in Figure 10.7. Use a 0.05 significance level to test the claim that the three restaurants have the same mean service time.
> Using only the service times from McDonald’s, use a 0.05 significance level to test the claim that the sample is from a population with a mean of 180 seconds.
> Using only the service times from McDonald’s, construct a 95% confidence interval estimate of the population mean.
> A researcher collects paired sample data values and computes the value of the linear correlation coefficient to be 0. Based on that value, he concludes that there is no relationship between the two variables. What is wrong with this conclusion?
> In a study involving randomly selected subjects, it is found that there is a strong correlation between household income and number of visits to dentists. Is it valid to conclude that higher incomes cause people to visit dentists more often? Is it valid
> For 10 pairs of sample data values, the correlation coefficient is computed to be r = -1. What do you know about the scatterplot?
> Using the equation for the best-fit line, we find that when a slice of pizza costs $1000, the predicted subway fare is $1011. Is that predicted subway fare likely to be an accurate prediction? Why or why not?
> Does it appear that the best-fit line can be used to make a reasonably good prediction of subway fare given the cost of a slice of pizza?
> Find or estimate the value of r2. What does that value tell us?
> Can we conclude that the cost of a slice of pizza has a direct causal effect on the subway fare? Explain briefly.
> In a clinical trial of the effectiveness of a gender selection method, it is found that there is a 0.005 probability that the results could have occurred by chance. Does the method appear to be effective?
> Estimate the value of the correlation coefficient. What does that value suggest?
> Estimate the value of the linear correlation coefficient r for the points shown in the scatterplot in Figure 7.23.
