11. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 6.4 minutes and a standard deviation o=3.5 minutes. If a random sample of 49 customers is observed, find the probability that their mean time atthe teller's window is(a) at most 5.6 minutes;(b) more than 7.4 minutes;(c) at least 6.4 minutes but less than 7.0 minutes.Click here to view page 1 of the standard normal distribution table.¹Click here to view page 2 of the standard normal distribution table.²(a) The probability that the mean time is at most 5.6 minutes is(Round to four decimal places as needed.)(b) The probability that the mean time is more than 7.4 minutes is(Round to four decimal places as needed.)(c) The probability that the mean time is between 6.4 minutes and 7.0 minutes is(Round to four decimal places as needed.)

11. The amount of time that a drive-through bank teller spends on a customer is a random variable…

Answered: The amount of time that a drive-through…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Mileage data of new model cars follow a normal distribution with an average mileage of 26 mpg and a standard deviation of 7. Consider a sample of size 15 cars. What is the probability that the mean mileage of these selected cars is at most 27.5 mpg?
The shelf life of a perishable product is a random variable that is related to customer acceptance and, ultimately, to sales and profit. Suppose the shelf life of a particular soft drink is best approximated by a normal distribution with a mean of 180 days and standard deviation 20 days. What fraction of the product will still be fresh after 5 months on the shelf?
The time that college students spend studying per week have a distribution that skewed to the right with a mean of 8.4 hours and a standard deviation of 2.7 hours. Find the probability that the mean time spent studying per week for a random sample of 40 is less than 7.5 hours.
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In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 3030 scores from all of the students who took the test. She sees that the mean score is 169169 with a standard deviation of 7.06747.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1313. Is there evidence that the standard deviation of test scores has decreased at the α=0.005α=0.005 level? Assume the population is normally distributed. Step 1 of 5: State the null and alternative hypotheses. Round to four decimal places when necessary. Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Make the…
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation o = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
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