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 44 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reportes on their exposure to latex gloves. Summary statistics for the number latex gloves used per week are x= 19.4 and s= 11.7. 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 a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. Give a practical interpretation of the interval, part (b). O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. O B. One can be 95% confident that the average number f latex gloves used per week by all healthcare workers with a latex allergy is greater than the upper boundary of the interval. OC. One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy is in the interval. O D. One can be 95% 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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 44 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= 19.4 and s = 11.7. 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 a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.
(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
c. Give a practical interpretation of the interval, part (b).
O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval.
O B. One can be 95% 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.
O C. One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy is in the interval.
O D. One can be 95% 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 the interval, part (b), to be valid.
O A. i. The sample selected was specifically selected from the target population.
ii. The sample size is sufficiently large, that is, n> 1000
O B. i. The sample selected was randomly selected from the target population
ii. The sample size is sufficiently large, that is, n> 30
OC. i. The sample selected was specifically selected from the target population.
ii. The sample size is sufficiently large, that is, n> 30
O D. i. The sample selected was randomly selected from the target population.
ii. The sample size is sufficiently large, that is, n> 1000
Transcribed Image Text: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 44 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= 19.4 and s = 11.7. 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 a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. Give a practical interpretation of the interval, part (b). O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. O B. One can be 95% 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. O C. One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy is in the interval. O D. One can be 95% 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 the interval, part (b), to be valid. O A. i. The sample selected was specifically selected from the target population. ii. The sample size is sufficiently large, that is, n> 1000 O B. i. The sample selected was randomly selected from the target population ii. The sample size is sufficiently large, that is, n> 30 OC. i. The sample selected was specifically selected from the target population. ii. The sample size is sufficiently large, that is, n> 30 O D. i. The sample selected was randomly selected from the target population. ii. The sample size is sufficiently large, that is, n> 1000
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