A) If X overbar equals 78, Upper S equals 11, and n equals 16, and assuming that the population is normally distributed, construct a 99 % confidence interval estimate of the population mean. Round to two decimal places as needed.
B) A consumer organization wants to estimate the actual tread wear index of a brand name of tires that claims "graded 150" on the sidewall of the tire. A random sample of n=16
indicates a sample mean tread wear index of 142.3 and a sample standard deviation of 24.6.
Complete parts (a) through (c).
a. |
Assuming that the population of tread wear indexes is normally
distributed, construct a 90% confidence interval estimate of the population mean tread wear index for tires produced by this manufacturer under this brand name. |
(Round to two decimal places as needed.)
b. |
Do you think that the consumer organization should accuse the manufacturer of producing tires that do not meet the performance information on the sidewall of the tire? Explain 1) No, because a grade of 150 is in the interval 2) Yes, because a grade of 150 is not the interval. 3) Yes, because a grade of 150 is in the interval 4) No, because a grade of 150 is not in the interval |
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