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d. The work done (in mega joules) by two machines A and B was recorded for six consecutive days. Assume that the data constitute independent random samples from normal populations with equal variances. Machine A 51 52 49 55 46 63 Machine B 38 49 45 35 31 36 i. Construct the 90% confidence interval for the actual difference in the mean daily work done between the two machines. ii. Using a 0.01 level of significance, test the hypothesis that the work done by machine A is 10 mega joules more than machine B against the alternative hypothesis that the difference is larger than 10 mega joules.

d. The work done (in mega joules) by two machines A and B was recorded for six consecutive days. Assume that the data constitute independent random samples from normal populations with equal variances. Machine A 51 52 49 55 46 63 Machine B 38 49 45 35 31 36 i. Construct the 90% confidence interval for the actual difference in the mean daily work done between the two machines. ii. Using a 0.01 level of significance, test the hypothesis that the work done by machine A is 10 mega joules more than machine B against the alternative hypothesis that the difference is larger than 10 mega joules.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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d. The work done (in mega joules) by two machines A and B was recorded for six consecutive days. Assume that the data constitute independent random samples from normal populations with equal variances. Machine A 51 52 49 55 46 63 Machine B 38 49 45 35 31 36 i. Construct the 90% confidence interval for the actual difference in the mean daily work done between the two machines. ii. Using a 0.01 level of significance, test the hypothesis that the work done by machine A is 10 mega joules more than machine B against the alternative hypothesis that the difference is larger than 10 mega joules.
Transcribed Image Text:d. The work done (in mega joules) by two machines A and B was recorded for six consecutive days. Assume that the data constitute independent random samples from normal populations with equal variances. Machine A 51 52 49 55 46 63 Machine B 38 49 45 35 31 36 i. Construct the 90% confidence interval for the actual difference in the mean daily work done between the two machines. ii. Using a 0.01 level of significance, test the hypothesis that the work done by machine A is 10 mega joules more than machine B against the alternative hypothesis that the difference is larger than 10 mega joules.
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