Part 1 ot college professor believes that students achieve a higher grade point average (GPA) in the fall emester than in the spring semester. To test her theory, she samples 32 of her fall semester tudents and 46 of her spring semester students. The fall semester students had an average semester GPA of 3.44 with a standard deviation of 0.3; the spring semester students had an average semester GPA of 3.28 with a standard deviation of 0.35. If the GPAS in both student populations are- normally distributed, conduct a hypothesis test using a 4% level of significance to test the professor's theory. Step 1: State the null and alternative hypotheses. Let µf indicate the mean GPA of fall semester students and µs indicate the mean GPA of spring semester students. Ho: µF - µs Sv Ha:HF - Hs (So we will be performing a right-tailed v test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. with distribution mean 34.7 The differences of sample means are t-distributed and distribution standard deviation 34.7

Heather recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Heather believes the value is actually higher. She bases her belief on a recently reported study of 13 randomly selected, elderly females. The sample mean systolic blood pressure was 125 mmHg, and the sample standard deviation was 25 mmHg. C Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that u, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis Ho and the alternative hypothesis H₁. 1 H₂ : 0…

Do political science classes require less writing than history classes? The 41 randomly selected political science classes assigned an average of 13.1 pages of essay writing for the course. The standard deviation for these 41 classes was 5.8 pages. The 44 randomly selected history classes assigned an average of 14 pages of essay writing for the course. The standard deviation for these 44 classes was 5.5 pages. What can be concluded at the � = 0.01 level of significance?

Amanda recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Amanda believes the value is actually higher. She bases her belief on a recently reported study of 17 randomly selected, elderly females. The sample mean systolic blood pressure was 123 mmHg, and the sample standard deviation was 23 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that μ, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.  A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem…

Fuel efficiency of Prius:  Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is:  (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…

You are the Director of Ticket Sales for the Kansas City Royals.  Over the past 10 years, average attendance has dipped, thus the ownership group is considering improvements to the stadium to attract younger fans.  From the period since Kauffman Stadium opened (April 1973) through October 2012, the average game attendance was 22,655.  For the 2019 season—82 home games—the average attendance was 22,402 with a sample standard deviation of 899.  Before the ownership group commits to $275M in stadium upgrades, they ask you for statistical evidence that attendance has decreased.      Why is a hypothesis test a better statistical approach than a confidence interval to base your response to the ownership group?  Is the appropriate hypothesis test a left, right, or two-tailed test?  State the null and alternative hypotheses for the appropriate test.  You choose to conduct the test at the .01 level of significance (having an associated critical value of +/- 2.37) and determine the test…

Do political science classes require less writing than history classes? The 47 randomly selected political science classes assigned an average of 19 pages of essay writing for the course. The standard deviation for these 47 classes was 5.6 pages. The 56 randomly selected history classes assigned an average of 21.9 pages of essay writing for the course. The standard deviation for these 56 classes was 4.1 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer v Select an answer v H: Select an answer v Select an answer v Select an answer v b. The test statistic ? v = (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically…

Researchers wants to determine if low-fat diets or low-carb diets are more effective for weight loss. Suppose 100 people were placed on a low-fat diet and at the end of 3 months the mean weight loss was 10.5 lbs witha standard deviation of 12.5 lbs. There were another 100 people placed on a low-carb diet and at the end of 3 months the mean weight loss was 16.5 lbs with a standard deviation of 10.2 lbs. Does mean weight lossdiffer between the two diets? What are the hypotheses??