Given the following hypotheses: H0 : 30 H1 : > 30 A random sample of 76 observat
ID: 3312824 • Letter: G
Question
Given the following hypotheses: H0 : 30 H1 : > 30 A random sample of 76 observations is selected from a normal population. The sample mean was 32 and the sample standard deviation was 2. Using the 0.01 significance level: a. State the decision rule. (Round the final answer to 3 decimal places.) H0 if t > . b. Compute the value of the test statistic. (Round the final answer to 3 decimal places.) Value of the test statistic c. What is your decision regarding the null hypothesis? _H0. At the 0.01 significance level, the mean _ greater than 30.
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
: Mean of population
H0 : = 30
HA : > 30
Hypothesis test results:
Hence,
a) Decision rule: Reject Ho if t > 2.377
b) Test statistic = 8.718
c) Reject Ho, At the 0.01 significance level, the mean is greater than 30.
Mean Sample Mean Std. Err. DF T-Stat P-value 32 0.22941573 75 8.7177979 <0.0001Related Questions
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