mathxl.com Kayla Jett 10/29/17 727 PM Homework: Homework 6.2 Score: 0.25 of 1 pt

Question

mathxl.com Kayla Jett 10/29/17 727 PM Homework: Homework 6.2 Score: 0.25 of 1 pt Hw Score: 67.11%, 12.75 of 19 pts 6.2.36-T Use the standard normal distribution or the In a random sample of 12 people, the mean length of stay at a hospital was 7.8 days. Assume the population standard deviation is 2.3 d Which distribution should be used to cons normally distributed truct the n because the lengths are normally distributed and is known. B. Use a t-distribution because the lengths are normally distributed and a is known. ° C. Use a t-distribution because n 30 and is unknown. 0 D. Use a normal distribution because n 30 . Cannot use the standard normal distribution or the t-distribution because o is unknown, n

Explanation / Answer

At 99% confidence interval the critical value t* = 3.106

Cinfidence interval = mean +/- t* * SD/Sqrt (n)

= 7.8 +/- 3.106 * 2.3/sqrt(12)

= 7.8 +/- 2.06

= 5.74, 9.86

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