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jaimefashion12
26.08.2019 •
Mathematics
In a random sample of 30 people who rode a roller coaster one day, the mean wait time is 46.7 minutes with a standard deviation of 9.2 minutes. in a random sample of 50 people who rode a ferris wheel the same day, the mean wait time is 13.3 minutes with a standard deviation of 1.9 minutes. construct a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides.
a. (31.7, 35.1)
b. (30.5, 36.3)
c. (29, 37.8)
d. (28.7, 38.1)
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Ответ:
C.![(29,\ 37.8)](/tpl/images/0199/9759/8d17d.png)
Step-by-step explanation:
The confidence interval for difference of two population mean is given by :-
Given : Level of significance :![1-\alpha:0.99](/tpl/images/0199/9759/d6350.png)
Then , significance level :![\alpha: 1-0.99=0.01](/tpl/images/0199/9759/92b35.png)
Critical value :![z_{\alpha/2}=z_{0.005}=2.576](/tpl/images/0199/9759/576a0.png)
Hence, a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides![(29,\ 37.8)](/tpl/images/0199/9759/8d17d.png)
Ответ:
ok so the answer should be 1/4 if you need/want the simplified answer the answer is 2/8
Step-by-step explanation: