It has been hypothesized that the standard deviation of the germination time of radish seeds is 8 days. The standard deviation of a ran- dom sample of 60 radish plants’ germination times was 6 days. At α = 0.01, test the claim.

The degrees of freedom are:

And the p value would be given by:

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.

Step-by-step explanation:

Data given

represent the sample size

represent the confidence level  

represent the sample variance obtained

represent the value that we want to test

Hypothesis to test

We want to verify if the true deviation is equal to 8 days o not, so the system of hypothesis would be:

Null Hypothesis:

Alternative hypothesis:

The statistic is given by:

Replacing we got:

The degrees of freedom are:

And the p value would be given by:

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true deviation is different from 8 days.

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get