7. Weights of Running Shoes The weights in ounces of a sample of running shoes for men and women are shown. Test the claim that the means are different. Use the P-value method with a= 0.05. Men Women 10.4 12.6 10.6 10.2 8.8 11.1 14.7 9.6 9.5 9.5 10.8 12.9 10.1 11.2 9.3 11.7 13.3 9.4 10.3 9.5 12.8 14.5 9.8 10.3 11.0

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Problem 7 For each exercise perform each of the ear steps assume that all variables are normally or approximately normally distributed.
Exercises 9-3
For these exercises, perform each of these steps. Assume
that all variables are normally or approximately normally
th
U
distributed.
a. State the hypotheses and identify the claim.
b. Find the critical value(s) or use the P-value method.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
6.
Use the traditional method of hypothesis testing unless
the P-value method is specified by your instructor. Assume
the variances are unequal.
1. Waterfall Heights Is there a significant difference
at a = 0.10 in the mean heights in feet of waterfalls in
Europe and the ones in Asia? The data are shown.
Europe
Asia
487
1246
1385
614
722
964
470
1312
984
1137
320
830
900
345
820
350
722
1904
Source: World Almanac and Book of Facts.
2. Tax-Exempt Properties A tax collector wishes to see
if the mean values of the tax-exempt properties are dif-
ferent for two cities. The values of the tax-exempt prop-
erties for the two random samples are shown. The data
are given in millions of dollars. At a = 0.05, is there
enough evidence to support the tax collector's claim
%3D
nt?
Transcribed Image Text:Exercises 9-3 For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally th U distributed. a. State the hypotheses and identify the claim. b. Find the critical value(s) or use the P-value method. c. Compute the test value. d. Make the decision. e. Summarize the results. 6. Use the traditional method of hypothesis testing unless the P-value method is specified by your instructor. Assume the variances are unequal. 1. Waterfall Heights Is there a significant difference at a = 0.10 in the mean heights in feet of waterfalls in Europe and the ones in Asia? The data are shown. Europe Asia 487 1246 1385 614 722 964 470 1312 984 1137 320 830 900 345 820 350 722 1904 Source: World Almanac and Book of Facts. 2. Tax-Exempt Properties A tax collector wishes to see if the mean values of the tax-exempt properties are dif- ferent for two cities. The values of the tax-exempt prop- erties for the two random samples are shown. The data are given in millions of dollars. At a = 0.05, is there enough evidence to support the tax collector's claim %3D nt?
weights are different?
Hard body types
Soft body types
21
17
17
20
24
13
11
13
16
17
15
20
12
15
23
16
17
17
13
15
16
18
18
7. Weights of Running Shoes The weights in ounces of a
sample of running shoes for men and women are shown.
Test the claim that the means are different. Use the
P-value method with a = 0.05.
Men
Women
10.4
12.6
10.6
10.2
8.8
11.1
14.7
9.6
9.5
9.5
9.3
9.5
10.8
12.9
10.1
11.2
11.7
13.3
9.4
10.3
12.8
14.5
9.8
10.3
11.0
8. Teacher Salaries A researcher claims that the mean
of the salaries of elementary school teachers is greater
than the mean of the salaries of secondary school teach-
ers in a large school district. The mean of the salaries
of a random sample of 26 elementary school teachers is
$48,256, and the sample standard deviation is $3,912.40.
The mean of the salaries of a random sample of 24 sec-
ondary school teachers is $45,633. The sample standard
deviation is $5533. At a =
0.05, can it be concluded that
the mean of the salaries of the elementary school teachers
of the salaries of the secondary
Transcribed Image Text:weights are different? Hard body types Soft body types 21 17 17 20 24 13 11 13 16 17 15 20 12 15 23 16 17 17 13 15 16 18 18 7. Weights of Running Shoes The weights in ounces of a sample of running shoes for men and women are shown. Test the claim that the means are different. Use the P-value method with a = 0.05. Men Women 10.4 12.6 10.6 10.2 8.8 11.1 14.7 9.6 9.5 9.5 9.3 9.5 10.8 12.9 10.1 11.2 11.7 13.3 9.4 10.3 12.8 14.5 9.8 10.3 11.0 8. Teacher Salaries A researcher claims that the mean of the salaries of elementary school teachers is greater than the mean of the salaries of secondary school teach- ers in a large school district. The mean of the salaries of a random sample of 26 elementary school teachers is $48,256, and the sample standard deviation is $3,912.40. The mean of the salaries of a random sample of 24 sec- ondary school teachers is $45,633. The sample standard deviation is $5533. At a = 0.05, can it be concluded that the mean of the salaries of the elementary school teachers of the salaries of the secondary
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