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Ninety minutes are allowed for students to complete the multiple choice section of a national exam....

  1. Ninety minutes are allowed for students to complete the multiple choice section of a national exam. A random sample of 28 students selected from the students at a large high school took a practice exam, and the time (in minutes) that it took each student to complete the multiple-choice section was recorded. The times are given below.

58    76    74    80    88    74    65    97    66    95    77

63    83    73    64    71    60    68    70    63    71    57

75    74    52    71    81    82

a. Construct a 90% confidence interval for the mean time to complete the multiple choice section for students at this school.

b. Based on the confidence interval, do you think that 90 minutes is a reasonable amount of time to allow for the multiple choice part of the test? Explain your reasoning.

Thank you!!

math   Statistics-And-Probability   
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Answer #1

X: Amount of time to complete the multiple choice section for students at this school

Sr.No X X^2
1 58 3364
2 76 5776
3 74 5476
4 80 6400
5 88 7744
6 74 5476
7 65 4225
8 97 9409
9 66 4356
10 95 9025
11 77 5929
12 63 3969
13 83 6889
14 73 5329
15 64 4096
16 71 5041
17 60 3600
18 68 4624
19 70 4900
20 63 3969
21 71 5041
22 57 3249
23 75 5625
24 74 5476
25 52 2704
26 71 5041
27 81 6561
28 82 6724
29 2028 150018

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