Section 9.1, Exercise 1 a. Use the data given to test the following hypotheses.

Question

Section 9.1, Exercise 1 a. Use the data given to test the following hypotheses. Ho : =23 x = 26.3, n = 55, = 8.45, = .01 b. Use the p-value to reach a statistical conclusion c. Using the critical value method, what are the critical sample mean values? Round your answer to 2 decimal places, the tolerance is +/-0.01. oun your answer to 4 decimal places, the tolerance is +/-0.0001. your answer to 3 decimal places, the tolerance is +/-0.001 a. The value of the test statistic is and we b. Since the p-value of c. Critical mean values: upper value: ower value IS than a/2-.005, the decision is to:

Explanation / Answer

Test statistics t = (26.3 - 23)/(8.45/sqrt(55)) = 2.8963

p-value = 0.00544

a) The value of the test statistics is 2.90

b) Since the p-value of 0.0027 is less than than 0.005, the decision is to reject null hypothesis.

c) Critical mean values
t-value for 54 degrees of freedom are -2.67 and 2.67 (these are critical values of z-statistics)
upper value = 26.3 + 2.67*(8.45/sqrt(55)) = 29.3422
lower value = 26.3 - 2.67*(8.45/sqrt(55)) = 23.2578

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