Question

In: Statistics and Probability

Suppose you want to determine the average height of college basketball players in NCAA Division I....

Suppose you want to determine the average height of college basketball players in NCAA Division I. In a random sample of 9 players, the sample average is 70.725 inches with a standard deviation of 4.4081 inches. What is the 95% confidence interval for the average height of all NCAA D-I players?

Question 6 options:

1)

( 67.401 , 74.049 )

2)

( 69.256 , 72.194 )

3)

( 67.337 , 74.113 )

4)

( -67.337 , 74.113 )

5)

( 68.419 , 73.031 )

A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 8 patients were recorded before administering the drug and after. The mean difference in total cholesterol levels (after - before) was 24.523 mg/dL with a standard deviation of 19.3919 mg/dL. Create a 90% confidence interval for the true average difference in cholesterol levels by the drug.

Question 9 options:

1)

(17.6669, 31.3791)

2)

(22.6284, 26.4176)

3)

(-11.5336, 37.5124)

4)

(11.7738, 37.2722)

5)

(11.5336, 37.5124)

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.57. You believe that the proportion is actually greater than 0.57. The hypotheses for this test are Null Hypothesis: p ≤ 0.57, Alternative Hypothesis: p > 0.57. If you select a random sample of 21 people and 10 have a food allergy and/or sensitivity, what is your test statistic and p-value?

Question 11 options:

1)

Test Statistic: -0.868, P-Value: 0.807

2)

Test Statistic: 0.868, P-Value: 0.193

3)

Test Statistic: -0.868, P-Value: 0.193

4)

Test Statistic: 0.868, P-Value: 0.807

5)

Test Statistic: -0.868, P-Value: 1.614

Solutions

Expert Solution

The statistical software output for this problem is :

(6)

The 95% confidence interval for the average height of all NCAA D-I players is :

( 67.337 , 74.113 )

Option 3)

(9)

A 90% confidence interval for the true average difference in cholesterol levels by the drug

is :

(11.5336, 37.5124)

Option 5)

11)

Test Statistic: -0.868, P-Value: 0.807


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