Question

se latex gloves with glove powder on a daly basis are particulany susceptible to devel ping a latex ale gy. Each in asar ple of 40 hospit·employees who were diagnosed with a latex allergy based on a skin-prick test reported on their e a, Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex alergy b. Form a 95% confidence interval for the average number of latex gloves used per week by all heath care workers with a lal" alegy s 11.6. Complete parts (a)-(d) xposure to atex gloves. Summary stabstic or he number of latex loves used per week are i 192 and (Use integers or decimals for any numbers in the expression Round to two decimal places as needed) e. Give a practical interpretation of the interval, part (b) 0 A One can be 95% confident that the average number of latex goves used per week by all healthcare workers with a uatex atergy the interval ○ B. One can be 95% confident that latex gioves cause allergies sor all who use a number of gloves conta ned in the nterval O c. one can be 95% contdent that the average number of lalex gio es used per week by a' heathcare workers with a lale anergy is greater Pan the upper boundary of re mnat

Answer 1

a) 19.2 , the mean here is the point estimate for the average.

b) The 95% confidence interval is given by

$(\bar{x}-1.96*\frac{s}{\sqrt{n}},\bar{x}+1.96*\frac{s}{\sqrt{n}})$, now here s=11.6 and n=40. Thus, by the given information 95% C.I. is

( 15.61 , 22.79 )

c) (A). One can be 95% confident that the average number of latex gloves used per week by all healthcare workers with a latex allergy in the interval.