To find: Whether there is sufficient evidence to show that the mean hardness is different from the targeted value of 11.5 at 5% significance level.
Answer to Problem 77E
No, there sufficient evidence to show that the mean hardness is different from the targeted value.
Explanation of Solution
Given:
The data set is:
11.627 |
11.613 |
11.493 |
11.602 |
11.36 |
11.374 |
11.592 |
11.458 |
11.552 |
11.463 |
11.383 |
11.715 |
11.485 |
11.509 |
11.429 |
11.477 |
11.57 |
11.623 |
11.472 |
11.531 |
Formula used:
The test statistic formula is:
Calculation:
The null and alternative hypotheses are:
The alternative hypothesis represents that the test is two tailed.
The obtained Minitab output is:
The p -value is 0.449.
Here,
Conclusion:
At 5% level of significance there is insufficient evidence to show that the mean hardness of the tablets is different from the targeted value of 11.5
Chapter 9 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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