The annual salary for a sample of U.S. governors in 2017 are as follows:

$120395

$177467

$130273

$139339

$177412

$99636

$150000

$159300

$123427

$108167

$149730

$110834

$105000

$142265

$148886

$98600

$106078

$109470

$160135

$175000

$150000

$105000

(a) What is the associated t - score for a 99% confidence level?

(b) What is the margin of error for a confidence level of 99%?

(c)Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.