The time it takes a mechanic to tune an engine is known to be normally distributed with a mean of 45 minutes and a standard deviation of 14 minutes. a. Determine the mean and standard error of a sampling distribution for a sample size of 20 tune-ups. Draw a picture of the sampling distribution. b. Calculate the largest sampling error you would expect to make in estimating the population mean with the sample size of 20 tune-ups.

The time it takes a mechanic to tune an engine is known to be normally distributed with a mean of 45 minutes and a standard deviation of 14 minutes. a. Determine the mean and standard error of a sampling distribution for a sample size of 20 tune-ups. Draw a picture of the sampling distribution. b. Calculate the largest sampling error you would expect to make in estimating the population mean with the sample size of 20 tune-ups.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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