A school district wants to estimate the mean number of snow days that they can expect each year. A sample of the number of snow days taken over the last 10 years is given in Table 4.11.

a. Find and interpret a \(98 \%\) confidence interval for the mean number of snow days.

b. Estimate if the mean number of snow days per year is less than \(3(\alpha=0.01)\).

c. How big of a sample would be needed to detect the mean number of snow days to be no more than 2 ?

Table 4.11

Transcribed Image Text:

Random Sample of the Number of Snow Days Taken Over the Past 10 Years 2 1 0 0 3 1 2 0 5