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 __________

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

For an upcoming government project, you are required to find the average height of the students in Class VIII of a given school. Instead of asking every student, you took a few students as your sample and noted their heights in the table given below. Roll Number Height8012 121.92 cm8045 133.21 cm8053 141.34 cm8099 126.23 cm8125 175.74 cmQuestion 3/3MandatorySamplingWhat is the standard deviation of the sample?22.8423.6719.1921.45

A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 130 graduating seniors and found the mean score to be 458 with a standard deviation of 105. At the 95% confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth.

In a Statistics test, the average mark is 82 and the standard deviation is 5. All the students from 88 marks up to 94 marks will receive a B grade. If the marks have a normal distribution and 8 students receive B grade, determine the total number of students who sat for the test.

The scores of individual students on the American College Testing (ACT) Program Composite College Entrance Examination have a Normal distribution with a mean of μ = 18.6 and a standard deviation of σ = 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as the scores in the population.What is the standard deviation of the sampling distribution of the sample mean for a random sample of 36 students