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 47 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 = 19.7 and s = 12.1. 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. 19.7 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. (16.24, 23.16) (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). OA. 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. 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 in the interval. 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 less than the lower boundary of the interval. OD. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. d. Give conditions required for the interval, part (b), to be valid. A. i. The sample selected was specifically selected from the target population. ii. The sample size is sufficiently large, that is, n > 30 OB. i. The sample selected was specifically selected from the target population. ii. The sample size is sufficiently large, that is, n> 1000 OC. i. The sample selected was randomly selected from the target population. ii. The sample size is sufficiently large, that is, n > 1000 O D. i. The sample selected was randomly selected from the target population. ii. The sample size is sufficiently large, that is, n > 30

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 9PT
Question
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 47 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 = 19.7 and s = 12.1.
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.
19.7
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.
(16.24, 23.16)
(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).
OA. One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with
latex allergy is greater than the upper boundary of the interval.
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 in the interval.
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 less than the lower boundary of the interval.
OD. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval.
d. Give conditions required for the interval, part (b), to be valid.
A. i. The sample selected was specifically selected from the target population.
ii. The sample size is sufficiently large, that is, n > 30
OB. i. The sample selected was specifically selected from the target population.
ii. The sample size is sufficiently large, that is, n> 1000
OC. i. The sample selected was randomly selected from the target population.
ii. The sample size is sufficiently large, that is, n > 1000
O D. i. The sample selected was randomly selected from the target population.
ii. The sample size is sufficiently large, that is, n > 30
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 47 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 = 19.7 and s = 12.1. 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. 19.7 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. (16.24, 23.16) (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). OA. One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with latex allergy is greater than the upper boundary of the interval. 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 in the interval. 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 less than the lower boundary of the interval. OD. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. d. Give conditions required for the interval, part (b), to be valid. A. i. The sample selected was specifically selected from the target population. ii. The sample size is sufficiently large, that is, n > 30 OB. i. The sample selected was specifically selected from the target population. ii. The sample size is sufficiently large, that is, n> 1000 OC. i. The sample selected was randomly selected from the target population. ii. The sample size is sufficiently large, that is, n > 1000 O D. i. The sample selected was randomly selected from the target population. ii. The sample size is sufficiently large, that is, n > 30
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