SOLUTION: Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 4
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-> SOLUTION: Given the following hypotheses:
H0 : μ = 400
H1 : μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 4
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A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
a.
State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 when the test statistic is the interval (
,
).
b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
c. What is your decision regarding the null hypothesis?
You can put this solution on YOUR website! a.
For a two-tailed test using a 0.01 significance level, the critical t-values (with df = 11) are -3.106 and 3.106.
Decision rule: Reject if the test statistic is in the interval (, -3.106) or (3.106, ).
b. Test statistic. is the sample mean.
c. Since t = 4.04 lies in the interval (3.106, ), reject .
