A random sample of 30 colleges from Kiplinger's list of the best values in private college provided the data shown in the file BestPrivateColleges.† The variable named Admit Rate (%) shows the percentage of students that applied to the college and were admitted, and the variable named 4 yr Grad. Rate (%) shows the percentage of students that were admitted and graduated in four years.
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A random sample of 30 colleges from Kiplinger's list of the best values in private college provided the data shown in the file BestPrivateColleges.† The variable named Admit Rate (%) shows the percentage of students that applied to the college and were admitted, and the variable named 4 yr Grad. Rate (%) shows the percentage of students that were admitted and graduated in four years.
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- A nutritionist believes that obesity is more prevalent among American adults than it was in the past. He discovers that in a study conducted in the year 1994, 380 of the 1630 randomly chosen adults were classified as obese. However, in a more recent study, he finds 726 out of 2350 randomly chosen adults were classified as obese. At α = 0.05, do these studies provide evidence to support the nutritionist's claim that the proportion of obese adults has significantly increased since 1994?An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. Calculate σx. (Round your answer to three decimal places.)/ Show the formula set-up. State the distribution to use for the hypothesis test. Find the p-value. (Round your answer to four decimal places.)An Ectopic Pregnancy is twice as likely to develop when the pregnant women is a smoker as it is when she's a nonsmoker. If 32 percent of women of childbearing age are smokers, what percentage of women having Ectopic Pregnancy are smokers?
- The National Highway Association is studying the relationship between thenumberof bidders on a highway project and the winning (lowest) bid for the project. Ofparticular interest is whether the number of bidders increases or decreases the amountof the winning bid.A large nationwide survey showed that 65% of high school students like Coca-Cola better than Pepsi. Dr.Johnson conducted a small survey of randomly selected high school students in Michigan and found that 180 ofthe 300 surveyed students liked Coca-Cola better than Pepsi. Test if the proportion of students that preferCoca-Cola over Pepsi is significantly different than the percentage indicated by the nationwide survey with asignificance level of 5%.A recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 60 national seniors reported using them.
- For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded.The 30 paired ages yield x¯ = 52.1 years, y¯ = 37.3 years, r = 0.076, P-value = 0.691, and y^ = 33.4 + 0.0587x. Find the best predicted value (age of Best Supporting Actress in 1982), when the age of the Best Supporting Actor (x) was 44 years.Suppose that in the previous semester, the percentages of students in the five sections of ECO 204 were 20%, 21%, 19%, 15% and 25%. However, in the current semester, among a sample of 200 students, the student distribution among five sections is 51, 49, 30, 20 and 50. Can we conclude that there has been a statistically significant change in the student proportions?A researcher decides to follow a group of 8 individuals taking a specific anti-TNF drug used to treat inflammatory conditions over an 8-year period of time in a study to determine how many of them will develop an immunity to the drug and at what point in time each individual will develop an immunity to the drug. What proportion of individuals did not develop an immunity to the anti-TNF drug during the 8 years they were tracked throughout the study, assuming the study concluded at the 8-year point?
- A statistician for an automotive review magazine wants to determine whether there is a difference in the fuel efficiency of passenger vehicles between model years 2013 and 2018. To do this, he selects random makes and models of passenger vehicles and compares the fuel efficiency in miles per gallon of the 2018 model year and the 2013 model year. Suppose that data were collected for a random sample of 9 passenger vehicles, where each difference is calculated by subtracting the fuel efficiency in miles per gallon of the 2013 model year from the fuel efficiency in miles per gallon of the 2018 model year. Assume that the fuel efficiencies are normally distributed. The test statistic is t≈6.163, α=0.10, the corresponding rejection regions are t<−1.860 and t>1.860, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the fuel…A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data. Predictor CoefCoef SE CoefSE Coef TT PP Constant 301.7301.7 1.801.80 167.17167.17 0.0000.000 Distance −2.158−2.158 0.1490.149 −14.45−14.45 0.0000.000 S=4.4336S=4.4336 R-sq=92.1% Assume all conditions for inference are met. Construct and interpret a 95 percent confidence interval for the slope of the least-squares regression line.A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data. (a) Assume all conditions for inference are met. Construct and interpret a 95 percent confidence interval for the slope of the least-squares regression line. (b) Does the confidence interval contradict the agent’s belief about the relationship between selling price and distance from the city center? Justify your answer.