The average GPA for all college students in the United States as of 2006 was 3.11. We want to test to see if the GPA of students at Texas A&M is higher than the national average. Suppose we survey 47 randomly selected students at Texas A&M and the average GPA is 3.27, with a standard deviation of 0.54. Assuming all conditions are met, conduct a hypothesis test at the 0.01 significance level. What are the hypotheses? ?0:?¯=3.11;??:?¯>3.11   ?0:?=3.11; ??:?=3.27   ?0:?=3.27;??:?≠3.27   ?0:?=3.11; ??:?>3.11

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720 . She finds that a random sample of 120 people had a mean FICO score of 740 with a standard deviation of 90 . Can the economist conclude that the mean FICO score is greater than 720 ? Use the =α0.01 level of significance and the P -value method with the

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…

Using the Hypothesis Testing Procedures, please complete: The mean age of senators in the 109th Congress was 60.35 years old. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is 6.5 years. At a = 0.05, is there sufficient evidence that state senators are on average younger than the Senators in Washington

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the a = 0.05 level of significance and the P-value State the appropriate null and alternate hypotheses. Compute the value of the test statistic. Round the answer to at least three decimal places. Input the correct interval for the P-value. Determine whether to reject H0 State a conclusion.

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 85 people had a mean FICO score of 750 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the α = 0.05 level of significance and the P-value method and Excel. (a) State the appropriate null and alternate hypotheses. Ho: H₁: This hypothesis test is a (Choose one) test. left tailed right-tailed two tailed

Arbitron Media Research Incorporated conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 11 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 18 women was also 30 minutes, but the standard deviation of the sample was 13 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?a. State the null and alternate hypotheses.multiple choice H0: σ12 = σ22 and H1: σ12 ≠ σ22 H0: σ12 = σ22 and H1: σ12 = σ22 H0: σ12 ≠ σ22 and H1: σ12 ≠ σ22 H0: σ12 ≤ σ22 and H1: σ12 > σ22 b. State the decision rule. (Round your answer to 2 decimal places.)   c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)   d. Compute the p-value. (Round your answer to 4 decimal places.)   e. What…

A telephone poll of 500 adult Americans was reported in an issue of Time Magazine.  One of the questions asked was “What is the main problem facing the country?”   Thirty percent answered “crime”.  We are interested in the population proportion of adult Americans who feel that crime is the main problem. Define the random variables X and P’ in words. Which distribution should be used for this problem? Explain your choice. Construct a 97% confidence interval for the population proportion of adult Americans who feel that crime is the main problem.      i.   State the confidence interval,   ii.  Sketch the graph,  iii. Calculate the error bound 4.  Suppose we want to lower the sampling error. What is one way to accomplish that?

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the α= 0.01 level of significance and the P-value method and Excel. a)Compute the value of the test statistic. Round the answer to at least three decimal places.  t= ? b) what is the P-value? c) Does it Rejects/Accepts the null hypothesis H_0? d) There is/ is not  enough evidence to conclude that the mean FICO score is lower than the cutoff of 720.