SOLUTION: Given the following hypothesis: Ho:u=100 H1: u≠100. A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population.

Algebra ->  Probability-and-statistics -> SOLUTION: Given the following hypothesis: Ho:u=100 H1: u≠100. A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population.       Log On


   



Question 976533: Given the following hypothesis: Ho:u=100 H1: u≠100.
A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 111. Assume a normal population. Using the .05 significance level, can we conclude the mean is different from 100?
a. State the decision rule.
b. Compute the value of the test static.
c. What is your decision regarding the null hypothesis?
d. Estimate the p-value.

Answer by Fombitz(32388) About Me  (Show Source):
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a) Two Tailed test, p%3E=0.025
b) x=111.67
s=6.055
s%5Bm%5D=6.055%2Fsqrt%286%29=2.472
t=%28x-mu%29%2Fs%5Bm%5D=%28111.67-100%29%2F2.472=4.72
The critical t value for 5 dof is t%5Bc%5D=2.571
c) Since the calculated t value is greater than critical t value, reject the null hypothesis.
d) Using EXCEL TDIST function, p=0.005245