Name: 1. According to the Department of Education, ful-time Ph.D. students recei
ID: 3050042 • Letter: N
Question
Name: 1. According to the Department of Education, ful-time Ph.D. students receive an average salary of s earn more than this. She surveys 46 randomly selected students and finds their $12,800. The dean of graduate studies at The University of New Hampshire claims that her average salary is $13,445 with a standard deviation of $1800. With alpha -0.05, is the dean's claim correct? a) State He b) State Ha c) Is this a one-tailed test or a two-tailed test? Why? d) What are the rejection regions for this specific test? Why? (It may help to draw it) e) In a nutshell, what is the researcher trying to provide evidence for? 0 Compute the relevant test statistie (consult slides for formula) 8) h) i) Compute the p value from the previous step. Based on this value, do we reject or fail to reject Ho? State your findings using this template: "Based on the findings, there is/is not enough evidence to suggest that (state H), p . 532 Words Fnalish (USExplanation / Answer
Answer in detail is below:
pop. mean = 12800
n = 46
Sample average = 13445
stdev = 1800
alpha = .05
a. Ho: Mu = 12800
b. Ha: Mu > 12800
c. this is a 1 tailed test. because the claim ( earn more ...) is directional
d. rejection zone is a t above +1.6794. So t>-1.6794 is rejection region
e. researcher is trying to provide eveidence for rejection of null hypothesis
f. test-statistic = (samplemean- pop.mean)/(stdev/sqrt(N)) = (13445-12800)/(1800/sqrt(46)) = 2.43
g. p-value from above is .010
h. based on this view,p-value is less than .05 and hence, we reject null hypothesis
j. Based on the findings , there is enough evidence to suggest that mean is above $12800, p= .010
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