A student in a statistics class needs to do a project and decides to find out if the average high school GPA of students in a statistics course at her university is higher than the average high school GPA for their university. The university’s average high school GPA of enrolled students in their year was 4.41.She emails a survey to all of her friends that are taking statistics and asks them what their high school GPA is. Her sample contains 18 responses. She chooses a 5% level of significance. From her data, she calculates a t-test statistic of approximately 1.41 with a p-value of about 0.08. What can she conclude? The data is not statistically significant. In other words, the data do not provide enough evidence to conclude that the mean GPA of students taking statistics at her university is higher than 4.41. The data is statistically significant. In other words, the data do provide enough evidence to conclude that the mean GPA of students taking statistics at her university is higher than 4.41. Nothing. The conditions for use of a t-test are not met. She cannot trust that the p-value is accurate for this reason.

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.11. In a sample of 280 graduates, 25 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are __________.Multiple Choicet279 = −1.11 and p-value = 0.0768z = −1.11 and p-value = 0.0768t279 = −1.11 and p-value = 0.1335z = −1.11 and p-value = 0.1335

Are you smarter than a second grader? A random sample of 70 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is =x55. Assume the standard deviation of test scores is =σ21. The nationwide average score on this test is 50. The school superintendent wants to know whether the second graders in her school district have greater math skills than the nationwide average. Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.Part 1 of 5(a) State the appropriate null and alternate hypotheses.:H0  =μ50:H1  >μ50This hypothesis test is a ▼right-tailed test.Part 2 of 5(b) Compute the value of the test statistic. Round the answer to two decimal places.z=1.9Correct Answer:=z1.99Part: 2 / 52 of 5 Parts CompletePart 3 of 5(c) Compute the P-value of the test statistic. Round the answer to four decimal places.P-value=Skip PartCheckSave For LaterSubmit Assignment

According to Facebook’s self-reported statistics, the average Facebook user is connected to 80 community pages, groups, and events. For a statistics project, a student at Contra Costa College tests the hypothesis that CCC students will average less than 80 such connections.She posts a survey on her Facebook page. Her sample contains 45 responses.She chooses a 5% level of significance. From her data she calculates a t-test statistic of approximately −1.74 with a P-value of about 0.04.What can she conclude? Nothing. The conditions for use of a t-test are not met. She cannot trust that the P-value is accurate for this reason. The data is statistically significant. In other words, the data do provide enough evidence to conclude that the mean number of Facebook connections to community pages, groups and events of all all CCC college students is less the 80. The data is not statistically significant. In other words, the data do not provide enough evidence to conclude that the mean number of Facebook connections to community pages, groups and events of all CCC college students is less the 80.

A student believes that the average grade on the quiz in Math is greater than 85. She plans on taking a sample to test her belief. The correct null hypothesis is Group of answer choicesPopulation mean is greater than or equal to 85Population mean is less than 85Population mean is greater than 85Population mean is less than or equal to 85

A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 5.50. A sample of 37 honors students is taken and is found to have a mean GPA equal to 5.60. The population standard deviation is assumed to equal 0.40. The parameter to be tested is __________