Question

In: Statistics and Probability

1. The mayor of Little Rock Arkansas claims that on average there are 70 babies born...

1. The mayor of Little Rock Arkansas claims that on average there are 70 babies born in April a random sample of 50 years showed on average 65 babies were born in April with a standard deviation of 8 which test should be used?
2. The average ACT score in mathematics is 13 a special preparation course states that it can increase scores a sample of 26 students completed the course in the average of the scores was 19 with a standard deviation of 1.1 which test should be used?
3. A recent study claimed that at least 50% of all high school seniors are overweight in a sample of 80 students 49 were found to be overweight which test should be used?
4. A medical researcher wishes to see whether the average pulse rate of men is higher than average pulse rate of women samples of 100 men and 100 women were selected which test should be used?
5. P value equals 0.0156 if alpha equals 0.05 then what is the correct decision
6. A researcher suggest that male nurses earn more than female nurses the survey of 16 male nurses had a mean of $23,800 with a standard deviation of 300 survey of 20 female nurses had a mean of 23,758 with a standard deviation of 250 which test should be used?
7. A professional bowler has been having trouble hitting the pocket in order to get strikes his average has been 205 with a standard deviation of 10 is in his next 15 games his standard deviation is 14 test this hypothesis that his game is more valuable than the past at alpha equals .05 which test should be used
choices
A. Z test for a single mean
B. Z test for the differences of two means.
C. t-test for a single mean
D. t-test for the difference of two means
E. Z test for a single proportion
F. Z test for the difference of two proportions
G. chai square test for the variance.
H. chai square test for the goodness of fit.
I. reject Ho
J. do not reject Ho.

Solutions

Expert Solution

1. The mayor of Little Rock Arkansas claims that on average there are 70 babies born in April a random sample of 50 years showed on average 65 babies were born in April with a standard deviation of 8 which test should be used?

. Z test for a single mean

3. A recent study claimed that at least 50% of all high school seniors are overweight in a sample of 80 students 49 were found to be overweight which test should be used?

Z test for a single proportion

4. A medical researcher wishes to see whether the average pulse rate of men is higher than average pulse rate of women samples of 100 men and 100 women were selected which test should be used

Z test for the differences of two means.

5. P value equals 0.0156 if alpha equals 0.05 then what is the correct decision

reject Ho

6. A researcher suggest that male nurses earn more than female nurses the survey of 16 male nurses had a mean of $23,800 with a standard deviation of 300 survey of 20 female nurses had a mean of 23,758 with a standard deviation of 250 which test should be used?

t-test for the difference of two means

7. A professional bowler has been having trouble hitting the pocket in order to get strikes his average has been 205 with a standard deviation of 10 is in his next 15 gmaes his standard deviation is 14 test this hypothesis that his game is more valuable than the past at alpha equals .05 which test should be used

t-test for the paired sample


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