Question

Use the following information to answer the next six questions. A former STAT 302 instructor (female) wanted to test her theory that the average number of pairs of shoes owned by female TAMU students is more than 20. To study this question, she selected a random sample of 30 female TAMU students. For each woman in the sample, the number of pairs of shoes she owned was recorded. Below is given the statistical output from her study. Data for problem about # Pairs of Shoes Moments Mean 22.867 Std Dev 6.061 Std Err Mean 1.106 Upper 95% Mean 20.604 Lower 95% Mean 25.130 N 30 Test Mean=value Hypothesized Value 20 Actual Estimate 22.867 DF 29 Std Dev 6.061 t Test Test Statistic 2.5904 Prob > |t| 0.0148 Prob > t 0.0074 Prob < t 0.9926 1. What hypotheses should be used to test the claim? H0: X? = 20 and Ha: X? < 20 H0: ? = 20 and Ha: ? > 20 H0: X? = 20 and Ha: X? > 20 H0: ? = 20 and Ha: ? < 20 2. The test statistic that corresponds to this hypothesis test is: One sample z-test One sample t-test with 29 degrees of freedom 3. Select the conditions required for the use of the test statistic. The observations are independent. np ? 10 and n(1 - p) ? 10 n ? 30 The population distribution is Normal ? is known

          Use the following information to answer the next six questions.
A former STAT 302 instructor (female) wanted to test her theory that the average number of pairs of shoes owned by female TAMU students is more than 20. To study this question, she selected a random sample of 30 female TAMU students. For each woman in the sample, the number of pairs of shoes she owned was recorded. Below is given the statistical output from her study.

Data for problem about # Pairs of Shoes
Moments
Mean 22.867
Std Dev 6.061
Std Err Mean 1.106
Upper 95% Mean 20.604
Lower 95% Mean 25.130
N 30

Test Mean=value
Hypothesized Value 20
Actual Estimate 22.867
DF 29
Std Dev 6.061

t Test
Test Statistic 2.5904
Prob > |t| 0.0148
Prob > t 0.0074
Prob < t 0.9926

1. What hypotheses should be used to test the claim?
H0: X? = 20 and Ha: X? < 20
H0: ? = 20 and Ha: ? > 20
H0: X? = 20 and Ha: X? > 20
H0: ? = 20 and Ha: ? < 20

2. The test statistic that corresponds to this hypothesis test is:
One sample z-test
One sample t-test with 29 degrees of freedom

3. Select the conditions required for the use of the test statistic.
The observations are independent.
np ? 10 and n(1 - p) ? 10
n ? 30
The population distribution is Normal
? is known

Use the following information to answer the next six questions.
A former STAT 302 instructor (female) wanted to test her theory that the average number of pairs of shoes owned by female TAMU students is more than 20. To study this question, she selected a random sample of 30 female TAMU students. For each woman in the sample, the number of pairs of shoes she owned was recorded. Below is given the statistical output from her study.

Data for problem about # Pairs of Shoes
Moments
Mean 22.867
Std Dev 6.061
Std Err Mean 1.106
Upper 95% Mean 20.604
Lower 95% Mean 25.130
N 30

Test Mean=value
Hypothesized Value 20
Actual Estimate 22.867
DF 29
Std Dev 6.061

t Test
Test Statistic 2.5904
Prob > |t| 0.0148
Prob > t 0.0074
Prob < t 0.9926

1. What hypotheses should be used to test the claim?
H0: X? = 20 and Ha: X? < 20
H0: ? = 20 and Ha: ? > 20
H0: X? = 20 and Ha: X? > 20
H0: ? = 20 and Ha: ? < 20

2. The test statistic that corresponds to this hypothesis test is:
One sample z-test
One sample t-test with 29 degrees of freedom

3. Select the conditions required for the use of the test statistic.
The observations are independent.
np ? 10 and n(1 - p) ? 10
n ? 30
The population distribution is Normal
? is known

Added by -Ngel Y.

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