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- A random sample of 120 people who shop for groceries exclusively at Harris Teeter found that 25% primarily use online ordering for their family's groceries. A random sample of 150 people who shop for groceries exclusively at Giant found that 36% primarily use online ordering for their family's groceries. Is this evidence that there is a difference between the two stores for the proportion of people who shop online for groceries? Use a significance level of alpha=0.05 for your inference procedure.A school district decided to measure the BMI of all 3rd graders and identify the highest 1% and lowest 1% of those students. If the distribution is converted to a z distribution, what would be the upper critical z value and lower critical z value that mark the two significant areas at the tails?A simple random sample of 18 male students at a university has an average height of 70 inches. The average height of men in the general population is 69 inches. Assume that male height is approximately normally distributed with σ = 2.8 inches. Conduct a two-sided hypothesis test to determine whether the male students have heights that are significantly different than expected. Show all hypothesis testing steps.
- 1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Is there significant evidence that the two treatments differ using an alpha .05paired t test.
- A scientist formulated a new cough medicine and would want to know if there is an impact on its reaction time. He gathered about 50 patients and the reaction times of each is measured right before and one hour after taking the cough medication. Assuming that the data is not normally distributed, what would be the best statistical tool to be used? And why? a. ANOVAb. Mann Whitneyc. Wilcoxon Signed Rankd. Independent t-teste. Spearman Rho - Why?A one sample t test has n = 12. If using a two-tail test (proportion in two tails combined) with an alpha = .05, the critical t score boundaries =A soft drink dispensing machine is said to be out of control if the variance of the contents exceeds 1.15 deciliters. If a random sample of 25 drinks from this machine has a variance of 2.03 deciliters, does this indicate at a significance level of 0.05 that the machine is out of control? Assume that the contents are approximately normally distributed. Note:The exercise in the image is in Spanish, to make the exercise more understandable.
- A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 41% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process.A random sample of 150 deliveries since the just-in-time system was installed reveals that 29 deliveries were late. If we want to test whether the proportion of late deliveries was reduced significantly at α = 0.10. Calculate the null and alternative hypothese.A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean differenceFor a lower tail hypothesis test with a sample size of 13 and a .10 level of significance, the critical value of the test statistic t is