Question

Is (a) and (b) correct? Am i doing (c) correctly so far and how do i finish (c) ?

Answer the following questions based on this data: The cholesterol content of large chicken eggs is normally distributed with a mean of 200mg and standard deviation 15 mg. a. (10 pts)What is the hypotheses for the mean cholesterol content of a random sample of 25 1. of these eggs is less than 205mg? (10 pts)To test if the claimed 200mg value is reasonable, a sample of 60 large eggs is analyzed. Their average cholesterol content is 196mg. What is the P-value based on this sample? b. Tgpu- ust stot =no-20 :/.9 345 = _a.0do Pvalue : P(27-а.oul) 5/1Loo (10 pts)Suppose that you did not know the population standard deviation. Suppose instead that you take a sample of 20 and find the standard deviation of the sample is 15 mg. Now, test that the mean cholesterol content is less than 205 mg. c. ne 8o 865-800 5 l. у 907 3.354

Answer 1

a) Test hypothesis Ho:μ-205 но.μ <205 b) Test hypothesis но.μ 200 Ho.μ 200 Test statistic t-x-μ 196-200 15//60 2.066 o/ n p-value-P(t 2.066)- 0.0432 c) Test hypothesis но.μ-205 Ho:μ < 205 est statistic t-x-u-200-205 15/V20 ー-1.491 o/Vn p-value-P( t<-1.491) = 0.1524