To find: Whether there is sufficient evidence to conclude that the mean reading time for Gigi is more than 22 seconds.
Answer to Problem 7CRE
Yes, there is sufficient evidence to conclude that the mean reading time for Gigi is more than 22 seconds.
Explanation of Solution
Given:
The data set is:
23.2 |
21.2 |
28.9 |
27.7 |
29.1 |
27.3 |
16.1 |
22.6 |
25.6 |
34.2 |
23.9 |
26.8 |
20.5 |
34.3 |
21.4 |
32.6 |
26.2 |
34.1 |
31.5 |
24.6 |
23 |
28.6 |
24.4 |
28.1 |
Formula used:
The formula used to compute the test statistic is:
Calculation:
The null and alternative hypotheses are:
Assume level of significance to be 0.05.
The obtained output is:
Here, p -value (0.000) is less than the significance level. Thus, the null hypothesis is rejected. Thus, there is sufficient evidence to conclude that the mean reading time for Gigi is more than 22 seconds.
Chapter 9 Solutions
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