Answered: The manager of a grocery store has…

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

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 4.1 minutes. The population standard deviation is known to be 0.6 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 4 minutes.

At a 0.05 level of significance, it can be concluded that the mean of the population is _____.

a. significantly greater than 4

b. not significantly greater than 4

c. significantly less than 4

d. significantly greater than Error in evaluating expression: mud

2) Consider the following.

	Sample A	Sample B
s²	30	32
n	25	20

We want to test the hypothesis that the population variances are equal.

The test statistic for this problem equals _____.

a. 0.80

b. 1.07

c. 0.94

d. 1.25

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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