Write the following ratio in simplest form : 32 min : 36 min
2 answers:
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Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,
At the null hypothesis, we test if the <u>mean is of 25 minutes</u>, that is:
At the alternative hypothesis, we test if the mean has changed, that is, if it is <u>different than 25 minutes</u>.
We have the <u>standard deviation for the sample</u>, thus, the t-distribution is used. The value of the test statistic is:
In which:
- X is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
In this problem:
- 25 is tested at the null hypothesis, thus
.
- Sample mean of 26.2 minutes, thus
.
- Sample of 51, thus
.
- Variance of 16, thus
.
The <u>value of the test statistic</u> is:
- The p-value of the test is found using a <u>two-tailed test</u>(test if the mean is different of a value), with <u>t = 2.14 and 50 degrees of freedom</u>.
- Using a t-distribution calculator, this p-value is of 0.0364.
Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.
A similar problem is given at brainly.com/question/23777908