Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 41 hospital employees who were diagnosed with a latex allergy based on askin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x=19.5 and s=11.9. Complete parts (a)(d).

a) Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.

B) Form a95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.

C). Give a practical interpretation of theinterval, part(b).

A.

One can be95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval.

B.

One can be95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy is in the interval.

This is the correct answer.

C.

One can be95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy is greater than the upper boundary of the interval.

D.

One can be95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy is less than the lower boundary of the interval.

D). Give conditions required for theinterval, part(b), to be valid.

A.

i. The sample selected was randomly selected from the target population.

ii. The sample size is sufficientlylarge, thatis, n>1000

B.

i. The sample selected was specifically selected from the target population.

ii. The sample size is sufficientlylarge, thatis, n>1000

C.

i. The sample selected was specifically selected from the target population.

ii. The sample size is sufficientlylarge, thatis, n>30

D.

i. The sample selected was randomly selected from the target population.

ii. The sample size is sufficientlylarge, thatis, n>30