Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. The average wait time before a customer receives service at a bank on Saturdays is 17 minutes, with a standard deviation of 8 minutes. What is the probability that the average wait time for a random sample of 35 customers is over 18 minutes? Standard Normal Distribution Table P( X̄  > 18)=

The grade point average for ALL juniors at a large college has a standard deviation of 0.50.  A random sample of 20 students is to be used to estimate the population mean grade point average.  What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean?

A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts at least 70,000 miles.

The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch. The probability that a randomly selected fertilized egg takes over 25 days to hatch is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. The average proportion of the way to hatching of all eggs fertilized more than 25 days ago is (Round to two decimal places as needed.) B. In every group of 100 fertilized eggs, eggs will hatch in more than 25 days. (Round to the nearest integer as needed.) O C. If…

Consider a normal distribution with mean 30 and standard deviation 10. What is the probability a value selected at random from this distribution is greater than 30