The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 85.2 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. Click the icon to view the table of correlation coefficient critical values. (b) is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.05. First determine the appropriate hypotheses. Hoi H = 85.2 H₁ H << 85.2 Find the test statistic. = -1.63 (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) 103.8 69.2 57.1 74.6 65.7 82.2 94.8 84.6 69.5 78.5 Time (sec)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Related questions
Question
The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 85.2 seconds. A manager devises a new
drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders.
The wait times are provided in the table to the right. Complete parts (a) and (b) below.
(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.05.
First determine the appropriate hypotheses.
Click the icon to view the table of correlation coefficient critical values.
Ho: μ
= 85.2
H₁: μ < 85.2
Find the test statistic.
to
=
- 1.63
(Round to two decimal places as needed.)
Find the P-value.
♥
The P-value is
(Round to three decimal places as needed.)
103.8
69.2
57.1
74.6
65.7
82.2
94.8
84.6
69.5
78.5
Time (sec)
0
Transcribed Image Text:The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 85.2 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below. (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.05. First determine the appropriate hypotheses. Click the icon to view the table of correlation coefficient critical values. Ho: μ = 85.2 H₁: μ < 85.2 Find the test statistic. to = - 1.63 (Round to two decimal places as needed.) Find the P-value. ♥ The P-value is (Round to three decimal places as needed.) 103.8 69.2 57.1 74.6 65.7 82.2 94.8 84.6 69.5 78.5 Time (sec) 0
Critical values
Sample Size, n Critical Value
5
0.880
6
0.888
7
0.898
0.906
0.912
0.918
0.923
0.928
0.932
0.935
0.939
8
9
10
11
12
13
14
15
Sample Size, n
16
17
18
19
20
21
22
2223
24
25
30
Critical Value
0.941
0.944
0.946
0.949
0.951
0.952
0.954
0.956
0.957
0.959
0.960
Transcribed Image Text:Critical values Sample Size, n Critical Value 5 0.880 6 0.888 7 0.898 0.906 0.912 0.918 0.923 0.928 0.932 0.935 0.939 8 9 10 11 12 13 14 15 Sample Size, n 16 17 18 19 20 21 22 2223 24 25 30 Critical Value 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 0.960
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