the gym, at least 5 days a week. She randomly selects 100 gym members and tracks (using the electronic login system at the door) how many days they used the gym ove the 2-week period. The following are the results: 2 5 3 6 7 6 2= 5 7 4 5 0.00 30 3 4 3 9 4 4 7 0 10 6 5 4 14 6 136 6 4 Standard Normal Distribution Table a. Calculate the test statistic. 43 1 2 2 122 00 8 7 6 2 9 5 2003 20 12 8 10 10 8 5 3 13 9 Test the manager's claim at the 10% level of significance. 1 5 1 13 3 11 12 8 6 8 3 2 11 7 1 7 2 . Determine the critical value(s) for the hypothesis test. Cound to two decimal places if necessary inter 0 if normal approximation to the binomial cannot be used 4 3 5 3 6 3 47604 10 8 12 8 2 1 2 8 11 3 1 10 5 2 12 5 1 3 8 2 2 . Conclude whether to reject the null hypothesis or not based on the test statistic.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A manager at a local discount gym believes that less than 20% of gym members use
the gym, at least 5 days a week. She randomly selects 100 gym members and tracks
(using the electronic login system at the door) how many days they used the gym over
the 2-week period. The following are the results:
2
5
3
6
7
6
5
7
4
5
2=
303
0.00
4
3
a
+
9
4
4
7
0
Standard Normal Distribution Table
10
6
5
4
14
6
1
3
6
4
a. Calculate the test statistic.
4
3
1
2
2
8
2
2
7
6
2
9
5
12
8
10
3
10
58
3391
5
1
3312
11
12
Test the manager's claim at the 10% level of significance.
7777 IN W ∞ ∞
Round to two decimal places if necessary
Enter 0 if normal approximation to the binomial cannot be used
8
6
O Reject
O Fail to Reject
O Cannot Use Normal Approximation to Binomial
8
2
b. Determine the critical value(s) for the hypothesis test.
11
4
8
3 12
5
3
6
3
4
7
6
10 1
∞ ∞0 ~ - ~ ∞0 I 3 -
8
8
11
10
5
2
12
5
1
38N N
2
2
c. Conclude whether to reject the null hypothesis or not based on the test statistic.
Transcribed Image Text:A manager at a local discount gym believes that less than 20% of gym members use the gym, at least 5 days a week. She randomly selects 100 gym members and tracks (using the electronic login system at the door) how many days they used the gym over the 2-week period. The following are the results: 2 5 3 6 7 6 5 7 4 5 2= 303 0.00 4 3 a + 9 4 4 7 0 Standard Normal Distribution Table 10 6 5 4 14 6 1 3 6 4 a. Calculate the test statistic. 4 3 1 2 2 8 2 2 7 6 2 9 5 12 8 10 3 10 58 3391 5 1 3312 11 12 Test the manager's claim at the 10% level of significance. 7777 IN W ∞ ∞ Round to two decimal places if necessary Enter 0 if normal approximation to the binomial cannot be used 8 6 O Reject O Fail to Reject O Cannot Use Normal Approximation to Binomial 8 2 b. Determine the critical value(s) for the hypothesis test. 11 4 8 3 12 5 3 6 3 4 7 6 10 1 ∞ ∞0 ~ - ~ ∞0 I 3 - 8 8 11 10 5 2 12 5 1 38N N 2 2 c. Conclude whether to reject the null hypothesis or not based on the test statistic.
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