In recent times, with mortgage rates at low levels, financial institutions have had to provide more innovations offered by Coastal National Bank and Trust is online entry of mortgage applications. Listed are the times, in minutes, for eight customers to complete the application process for a 15-year fixed-rate mortgage and the times for nine customers to complete an application for a 30-year fixed-rate mortgage. 15 years, fixed rate 30 years, fixed rate 41 36 42 39 36 48 49 38 21 27 36 20 19 21 39 24 22 Click here for the Excel Data File Do not assume the distribution times follow a normal distribution for either group. a. State the decision rule. Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Hg: The distributions are the same. H: The 30-year distribution is smaller or to the left. Reject Ho it z>

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d. At the 0.05 significance level, is it reasonable to conclude that it takes less time for those customers applying for the 30-year fixed- rate mortgage? Ho is (not rejected/ rejected). The 30 year application is faster
In recent times, with mortgage rates at low levels, financial institutions have had to provide more customer convenience. One of the
innovations offered by Coastal National Bank and Trust is online entry of mortgage applications. Listed are the times, in minutes, for
eight customers to complete the application process for a 15-year fixed-rate mortgage and the times for nine customers to complete
an application for a 30-year fixed-rate mortgage.
15 years, fixed rate
30 years, fixed rate
41
36
42
39
36
48
49
38
21
27
36
20
19
21
39
24
22
S Click here for the Excel Data File
Do not assume the distribution times follow a normal distribution for either group.
a. State the decision rule. Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your
answer to 3 decimal places.)
Ho: The distributions are the same.
H: The 30-year distribution is smaller or to the left.
Reject Ho if z >
Transcribed Image Text:In recent times, with mortgage rates at low levels, financial institutions have had to provide more customer convenience. One of the innovations offered by Coastal National Bank and Trust is online entry of mortgage applications. Listed are the times, in minutes, for eight customers to complete the application process for a 15-year fixed-rate mortgage and the times for nine customers to complete an application for a 30-year fixed-rate mortgage. 15 years, fixed rate 30 years, fixed rate 41 36 42 39 36 48 49 38 21 27 36 20 19 21 39 24 22 S Click here for the Excel Data File Do not assume the distribution times follow a normal distribution for either group. a. State the decision rule. Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Ho: The distributions are the same. H: The 30-year distribution is smaller or to the left. Reject Ho if z >
b. Complete the following table. (Round your answers to 1 decimal places.)
30 Year
15 Year
Time
Rank
Time
Rank
21
41
27
36
36
42
20
39
19
36
21
48
ces
39
49
24
38
22
0.0
0.0
c. What is the Wilcoxon rank-sum test value, at the 0.05 significance level? (Round your answer to 2 decimal places.)
Transcribed Image Text:b. Complete the following table. (Round your answers to 1 decimal places.) 30 Year 15 Year Time Rank Time Rank 21 41 27 36 36 42 20 39 19 36 21 48 ces 39 49 24 38 22 0.0 0.0 c. What is the Wilcoxon rank-sum test value, at the 0.05 significance level? (Round your answer to 2 decimal places.)
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