mathematics test is applied to 29 students from the UPN people who obtain an average grade of 75.6 with a standard deviation of 5.23 It is known that the correct value of the test must be greater than µ= 74. Is there enough evidence to prove that Is the student average greater than the population average in the group? Consider a significance level of 0.05

A random sample of 5 students IQ scores have a mean score of 107.04 and a standard deviation of 6.08.Is there sufficient evidence to support the claim that this sample of students are greater than the average IQ of 107? Use a 0.005 significance level. The test statistic is:

Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation of 14. Using the empirical rule, what percentage of IQ scores are at least 145?

Suppose the mean height of women age 20 years or older in a certain country is 62.2 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inches. At the 1​% significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean? Assume that the population standard deviation of the heights of women in the city is 3.9 inches.   Set up the hypotheses for the​ one-mean z-test.   H0​: μ (≠, >, <, =) ________ppmHa​: μ (≠, >, <, =) _________ppm   Compute the value of the test statistic.z=__________​(Round to two decimal places as​ needed.)   Determine the critical​ value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as​ needed.)   A. The critical value is zα=____________   B. The critical values are ±zα/2=±____________   C. The critical value is −zα=___________