Question

Here is data on the number of days required for fruit maturation.

(a) Enter the following data in R data <- c(26,24,29,33,25,26,23,30,31,30,28,27,29,26,28)(26,24,29,33,25,26,23,30,31,30,28,27,29,26,28)

(b) Test the hypothesis that the mean is equal to 29.5 days.

(c). Would this be a 1 tailed or 2 tailed, why?

(d). State the null and alternative hypotheses?

(e). Interpret the test results

(f). What null distribution did you use

Answer 1

(a-b)

Following is the screen shot of R:

Following is the output:

(c)

Test is two tailed.

(d)

Hypotheses are:

(e)

The p-value is 0.02145

Since p-value is less than 0.05 so we reject the null hypothesis. That is we cannot conclude that the mean is equal to 29.5 days.

(f)

t-distribution with df= 14