(a) In a survey conducted by a mail order company a random sample of 200 customers yielded 172 who indicated that they were highly satisfied with the delivery time of their orders. Calculate an approximate 95% confidence interval for the proportion of the company's customers who are highly satisfied with delivery times. (b) A random sample of size 49 from a normal distribution gives a 99% confidence in- terval for the population mean as (30, 50). Find a 90% confidence interval for the population mean based on this information.

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8. (a) In a survey conducted by a mail order company a random sample of 200 customers
yielded 172 who indicated that they were highly satisfied with the delivery time of
their orders. Calculate an approximate 95% confidence interval for the proportion
of the company's customers who are highly satisfied with delivery times.
(b) A random sample of size 49 from a normal distribution gives a 99% confidence in-
terval for the population mean as (30, 50).
Find a 90% confidence interval for the population mean based on this information.
Transcribed Image Text:8. (a) In a survey conducted by a mail order company a random sample of 200 customers yielded 172 who indicated that they were highly satisfied with the delivery time of their orders. Calculate an approximate 95% confidence interval for the proportion of the company's customers who are highly satisfied with delivery times. (b) A random sample of size 49 from a normal distribution gives a 99% confidence in- terval for the population mean as (30, 50). Find a 90% confidence interval for the population mean based on this information.
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