Question 1114931: A librarian claims that the mean number of books read per month by community college students is less than 2 books. A random sample of 28 community college student had read a mean of 1.2 books with a standard deviation of 2.14 books. Test the librarian's claim at the 0.01 level of significance.
A. State the hypotheses and claims
(what I put) H_0: p>=2 H_1: p<2
H_1 is the claim
B. Find the critical values
(what I put) if alpha=0.01, the critical values should be +/- 2.33
C. Compute the test value
(no idea)
D. Make the decision to accept or reject H_0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A librarian claims that the mean number of books read per month by community college students is less than 2 books. A random sample of 28 community college student had read a mean of 1.2 books with a standard deviation of 2.14 books. Test the librarian's claim at the 0.01 level of significance.
A. State the hypotheses and claims
H0: p>=2
H1: p<2 (claim)
B. Find the critical values
(what I put) if alpha=0.01, the critical values should be +/- 2.33
Comment:: H1 determines the critical value(s).
Ans: critical value for 0.01 left-tail "all z-values <-2.33
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C. Compute the test value
Note:: Since s/sqrt(28) = 2.14, s = 2.14*sqrt(28) = 11.32
z(1.2) = (1.2-2)/11.32 = -0.07
D. Make the decision to accept or reject H0
Since the test value is not in the critical region, fail to reject H0.
The test results do not support the claim.
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Cheers,
Stan H.
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