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Consider the hypothesis statement to the right using alpha = 0.01 and the data t

ID: 3247670 • Letter: C

Question

Consider the hypothesis statement to the right using alpha = 0.01 and the data to the right from two independent samplers. a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p- value and interpret the result. Click to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. a)The test statistic is (Round to two decimal places as needed.) H_0: mu_1 - mu_2 lessthanorequalto 0 H_1: mu_1 - mu_2 > 0 x_1 bar = 82 x_2 bar = 75 Sigma_1 = 30 sigma_2 = 18 n_1 = 55 n_2 = 60

Explanation / Answer

using minitab


Two-Sample T-Test and CI

Sample   N Mean StDev SE Mean
1       55 82.0   30.0      4.0
2       60 75.0   18.0      2.3


Difference = (1) - (2)
Estimate for difference: 7.00
99% lower bound for difference: -4.06
T-Test of difference = 0 (vs >): T-Value = 1.50 P-Value = 0.069 DF = 86

T-Value = 1.50

P-Value = 0.069