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(Round intermediate calculations to at least 4 decimal places.) Consider the fol

ID: 3065842 • Letter: #

Question

(Round intermediate calculations to at least 4 decimal places.) Consider the following competing hypotheses and sample data. Use Table 1. H0: m 150 HA: m > 150 n = 30 T = 200 T+ = 265

a. Assuming that the sampling distribution of T is normally distributed, determine the value of the test statistic.

(Round your answer to 2 decimal places.) Test statistic

b. Calculate the p-value. p-value < 0.01 0.01 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10

c. At the 5% significance level, what is the conclusion?

Reject H0, since the p-value is greater than .

Reject H0, since the p-value is smaller than .

Do not reject H0, since the p-value is greater than .

Do not reject H0, since the p-value is smaller than .

Explanation / Answer

test statistic z =3.73

b)  p-value < 0.01

c)

Reject H0, since the p-value is smaller than .

mean ==n(n+1)/4 = 232.5 variance =2=n(n+1)(2n+1)/24 = 2363.75 test stat =z=(T-)/ = 3.7332