A consumer organization wants to estimate the actual tread wear index of a brand name of tires that claims “graded 200” on the sidewall of the tire. A random sample of 23 tires indicates a sample mean tread wear index of 190.7 and a sample standard deviation of 29.3.

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…

The final exam grade of a statistics class has a skewed distribution with a mean of 76 and a standard deviation of 7.6. If a random sample of 32 students is selected from this class, then what is the probability that the average final exam grade of this sample is between 75 and 80?

Answer: Given Data: The Population Mean $(\mu)= 76 $ The Population Standard Deviation $(\sigma) = 7.6 $ The Sample Size $(n)=32 $ Solution: The probability that average final exam grade of this sample is between 75 and 80: $P(75 <…