The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.8 , 21.3 , 20.7 , and 21.2 pounds. Assume Normality. Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of potatoes.

Question

Kaitlyn Brewer

Mathematics

31 August, 07:55

The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.8 , 21.3 , 20.7 , and 21.2 pounds. Assume Normality. Answer parts (a) and (b) below. a. Find a 95% confidence interval for the mean weight of all bags of potatoes.

+4

Answers (1)

Know the Answer?

Trystan Salazar · Answer 1

(20.532, 21.468)

Step-by-step explanation:

Enter data into L₁

CL = 0.95

df = 3

Distribution: xbar ~ t₃

Calculator commands (for TI only) : [Stat],[TESTS],[TInterval],[Data], (List: L₁), (Freq:1), (C-Level:0.95),[Calculate]

Confidence interval (20.532,21.468)

We can conclude that the true population mean for bags of potatoes labeled 20.0 pounds is between (20.532,21,468) with a 95% confidence level.