35. The table below shows historical data for the distribution of the number of customers, in half-hour time periods,who visit the electronics department of a retail store. For example, in 25 percent of the time periods for whichdata were collected, no customers were observed in the electronics department of the store.Number of customers13 or moreProportion of time periods0.250.200.300.25To investigate if the distribution has changed, the number of customers who visited the electronics departmentof the store was recorded for each of 50 randomly selected time periods. The results are shown in the tablebelow.Number of customers123 or moreNumber of time periods4131419A chi-square goodness-of-fit test was conducted to determine whether the data provide convincing evidencethat the distribution has changed. The test statistic was 10.13 with a p-value of 0.0175. Which of the followingstatements is true?(A) At the significance level a = 0.05, the data provide convincing evidence that the current distributionis different from the historical distribution.(B) At the significance level a = 0.10, the data do not provide convincing evidence that the current distributionis different from the historical distribution.(C) The mean number of customers in a randomly selected time period is 12.5.(D) No valid conclusion can be made because the observed frequency for one cell is less than 5.(E) The chi-square statistic has 50 – 1 = 49 degrees of freedom.

Given Information: A chi-square goodness of fit test was conducted to determine whether the data…

35. The table below shows historical data for the distribution of the number of customers, in half-hour time periods, who visit the electronics department of a retail store. For example, in 25 percent of the time periods for which data were collected, no customers were observed in the electronics department of the store. Number of customers 1 3 or more Proportion of time periods 0.25 0.20 0.30 0.25 To investigate if the distribution has changed, the number of customers who visited the electronics department of the store was recorded for each of 50 randomly selected time periods. The results are shown in the table below. Number of customers 1 2 3 or more Number of time periods 4 13 14 19

35. The table below shows historical data for the distribution of the number of customers, in half-hour time periods, who visit the electronics department of a retail store. For example, in 25 percent of the time periods for which data were collected, no customers were observed in the electronics department of the store. Number of customers 1 3 or more Proportion of time periods 0.25 0.20 0.30 0.25 To investigate if the distribution has changed, the number of customers who visited the electronics department of the store was recorded for each of 50 randomly selected time periods. The results are shown in the table below. Number of customers 1 2 3 or more Number of time periods 4 13 14 19

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

35. The table below shows historical data for the distribution of the number of customers, in half-hour time periods,
who visit the electronics department of a retail store. For example, in 25 percent of the time periods for which
data were collected, no customers were observed in the electronics department of the store.
Number of customers
1
3 or more
Proportion of time periods
0.25
0.20
0.30
0.25
To investigate if the distribution has changed, the number of customers who visited the electronics department
of the store was recorded for each of 50 randomly selected time periods. The results are shown in the table
below.
Number of customers
1
2
3 or more
Number of time periods
4
13
14
19
A chi-square goodness-of-fit test was conducted to determine whether the data provide convincing evidence
that the distribution has changed. The test statistic was 10.13 with a p-value of 0.0175. Which of the following
statements is true?
(A) At the significance level a = 0.05, the data provide convincing evidence that the current distribution
is different from the historical distribution.
(B) At the significance level a = 0.10, the data do not provide convincing evidence that the current distribution
is different from the historical distribution.
(C) The mean number of customers in a randomly selected time period is 12.5.
(D) No valid conclusion can be made because the observed frequency for one cell is less than 5.
(E) The chi-square statistic has 50 – 1 = 49 degrees of freedom.

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