Discuss the below problems:
Q: For the following claim find the null and alternative hypothesis, test statistic, P=value, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answers a-e.
The mean IQ store of statistics professors is greater than 131. Sample date: n=14x, x=129, s=4. The significance level is a=0.05.
a. Choose the correct null hypothesis (Ho) and alternative hypothesis (H1)
b. Determine the test statistic t.
c. Choose the correct range of P-values___
A. P-value<0.005
B. .01,P-value<0.025
C. .005
D. .025
E. .05
F. P-value>0.10
d. find the critical value using a t-distribution table.
The critical value is ___
e. What is the conclusion?
A. Reject the null hypothesis and do not support the claim that u>131.
B. Fail to reject the null hypothesis and do not support the claim that u.131
C. Fail to reject the null hypothesis and support the claim that u>131
D. Reject the null hypothesis and support the claim that u >131