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 42 hospital employees who were diagnosed with a latex allergy based on a skin-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 = 11.8. 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 95% confidence interval for the average number of latex gloves used per week by all health care workers

In sociology, a personal network is defined as the people with whom you make frequent contact. A research program used a stratified random sample of men and women born between 1908 and 1937 to gauge the size of the personal network of older adults. Each adult in the sample was asked to please name the people you have frequent contact with and who are also important to you. Based on the number of people named, the personal network size for each adult was determined. The responses of 2,818 adults in this sample yielded statistics on network size that is, the mean number of people named person was 14.5, with a standard deviation of 10.6 Complete parts a through c.

a) Form a 95% confidence interval for the mean personal network size of all older adults. (Round to the nearest hundredths as needed)

Answer: ( ), ( )

b) Give a practical interpretation of the interval found in part (a).

(Round to the nearest hundredths as needed)

Answer: ( ), ( )