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Description: A toy manufacturer wants to see how long, on average, a new toy captures children’s attention. He test 20 children selected at random and finds that their mean attention span is 32 minutes with a standard deviation of five minutes. If we assume that

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A toy manufacturer wants to see how long, on average, a new toy captures children’s attention. He test 20 children selected at random and finds that their mean attention span is 32 minutes with a standard deviation of five minutes. If we assume that the attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Then find the lower limit and upper limit of 95% confidence interval.

A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 20 children selected at random and finds that their
mean attention span is 32 minutes with a standard deviation of 5 minutes. If we assume that attention spans are normally distributed, find a 95% confidence
interval for the mean attention span of children playing with this new toy. Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Lower limit:
.?
Upper limit:
Explanation
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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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