H_0: mu = 25 Ha: mu notequalto 25 x = 28.3, n = 59, sigma = 8.47, alpha = .01 Us
ID: 3237431 • Letter: H
Question
H_0: mu = 25 Ha: mu notequalto 25 x = 28.3, n = 59, sigma = 8.47, alpha = .01 Use the data given to test the following hypotheses. (Round your answer to 2 decimal places.) The value of the test statistic is and we reject the null hypothesis Use the p-value to reach a statistical conclusion. (Round your answer to 4 decimal places.) Since the p-value of than a/2 = .005, the decision is to: c. Using the critical value method, what are the critical sample mean values? (Round your answer to 3 decimal places.)Explanation / Answer
a) test statistic is the value of z value
z = (28.3- 25 ) / (8.47/sqrt 59) = 2.992and we reject null hypothesis
b) pvalue=
p(2.992 ) from standard z table = 0.9986
is less than a/2 and decision is to reject null hypotheses
c)
from above its 99% c.i the critical value =2.576
margin of error = critical value *standard deviation /sqrtn = 2.576* 8.47/sqrt59 =2.840
critical mean upper value = 28.3+2.840=31.14
lowwer value = 25.46
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