Question

The amount of iron ore (in tons) which can be mined each day at various locations is known to be approximately normally distributed. Building a mine at any location is economically feasible if the mean production at that location is at least 20 tons per day. Samples of daily production at each of two locations are shown below.

Location 1 sample daily production = {14, 16, 19, 26, 13}

Location 2 sample daily production = {20, 24, 21, 11}

Find a 95% confidence interval for the mean daily iron ore production at Location 1

1. (a) (12.90, 22.30) tons

(b) (11.60, 23.60) tons

(c) (15.34, 19.86) tons

(d) (12.61, 22.59) tons

(e) (11.11,24.09) tons

Find a 95% confidence interval for the mean daily iron ore production at Location 2.

(a) (10.09, 27.91) tons

(b) (14.55, 23.45) tons

(c) (12.41, 25.59) tons

(d) (11.23, 26.77) tons

(e) None of the answers is correct to the second decimal place

Answer 1

Statistics software output for location 1:

Hence, Option E) (11.11, 24.09) tons is the answer for thi.

Statistics software output for location 2:

Hence, Option A) (10.09, 27.91) tons is the answer for part b).

I hope this will help. Thank you.