Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 32 minutes. Assume that a simple random sample has been selected. Use a 0.10 significance level. Compare the sample mean to the claimed mean of 32 minutes. Is the difference between those two values statistically​ significant?  45 10 30 30 20 50 15 15 20 25 45 13 40 20 45 15 15 50 25 10 45 15 10 5 15 60 30 20 20 25 15 42 20 45 40 60 15 20 5 70 10 45 35 12 60 30 30 7 10 30 10 60 60 35 30 45 10 30 60 10 20 45 20 25 55 15 20 12 10 48 5 25 45 30 90 30 25 20 30 10 25 30 20 90 30 20 15 15 8 30 25 7 20 30 60 30 10 20 5 25 20 40 60 20 25 15 90 141 5 20 20 35 45 30 40 40 30 10 45 60 60 25 15 5 7 25 60 60 60 30 15 15 50 90 10 30 25 20 20 20 30 15 30 5 35 10 40 45 30 10 40 30 45 30 20 40 141 20 40 25 10 20 15 40 15 35 30 60 25 10 5 30 15 60 15 60 30 30 45 15 45 25 10 30 10 15 30 10 28 30 10 30 10 28 15 30 35 45 20 30 Identify the null and alternative hypotheses.   H0​: ▼   sigmaσ muμ pp ▼   equals= greater than> not equals≠ less than< enter your response here H1​: ▼   sigmaσ pp muμ ▼   equals= less than< not equals≠ greater than> enter your response here ​(Type integers or decimals. Do not​ round.) Part 2 Identify the test statistic.   enter your response here ​(Round to two decimal places as​ needed.) Part 3 Identify the​ P-value.   enter your response here ​(Round to three decimal places as​ needed.) Part 4 State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim.   ▼   Reject Accept Fail to reject the null hypothesis. There ▼   is not is sufficient evidence at the 0.10 significance level to ▼   warrant rejection of support the claim that the mean Los Angeles commute time is less than 32 minutes. Part 5 The sample mean is enter your response here ​minute(s) ▼   less than greater than the claimed mean of 32 ​minutes; this difference ▼   is is not statistically significant by the standard of this test. ​(Round to one decimal place as​ needed.)

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Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 32 minutes. Assume that a simple random sample has been selected. Use a 0.10 significance level. Compare the sample mean to the claimed mean of 32 minutes. Is the difference between those two values statistically​ significant? 

45
10
30
30
20
50
15
15
20
25
45
13
40
20
45
15
15
50
25
10
45
15
10
5
15
60
30
20
20
25
15
42
20
45
40
60
15
20
5
70
10
45
35
12
60
30
30
7
10
30
10
60
60
35
30
45
10
30
60
10
20
45
20
25
55
15
20
12
10
48
5
25
45
30
90
30
25
20
30
10
25
30
20
90
30
20
15
15
8
30
25
7
20
30
60
30
10
20
5
25
20
40
60
20
25
15
90
141
5
20
20
35
45
30
40
40
30
10
45
60
60
25
15
5
7
25
60
60
60
30
15
15
50
90
10
30
25
20
20
20
30
15
30
5
35
10
40
45
30
10
40
30
45
30
20
40
141
20
40
25
10
20
15
40
15
35
30
60
25
10
5
30
15
60
15
60
30
30
45
15
45
25
10
30
10
15
30
10
28
30
10
30
10
28
15
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35
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20
30

Identify the null and alternative hypotheses.
 
H0​:
 
sigmaσ
muμ
pp
 
equals=
greater than>
not equals≠
less than<
enter your response here
H1​:
 
sigmaσ
pp
muμ
 
equals=
less than<
not equals≠
greater than>
enter your response here
​(Type integers or decimals. Do not​ round.)
Part 2
Identify the test statistic.
 
enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value.
 
enter your response here
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim.
 
 
Reject
Accept
Fail to reject
the null hypothesis. There
 
is not
is
sufficient evidence at the
0.10
significance level to
 
warrant rejection of
support
the claim that the mean Los Angeles commute time is less than
32
minutes.
Part 5
The sample mean is
enter your response here
​minute(s)
 
less than
greater than
the claimed mean of
32
​minutes; this difference
 
is
is not
statistically significant by the standard of this test.
​(Round to one decimal place as​ needed.)
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