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Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 120 employee absences. The distribution of these 120 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 120 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (Observedrequency Expectedrequeno (SO-JE)² JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. (SO-JE)² Round your responses to three or more decimal places. JE Send data to Excel Observed frequency fo Expected frequency JE 2 (Jo-JE)² SE Expectedrequency Monday 29 0 Tuesday Wednesday .. 16 24.00 2.667 (a) Determine the type of test statistic to use. Type of test statistic: 21 24.00 0.375 Thursday Friday 31 0 0 (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) 0 (d) Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? 23 24.00 Part 2 Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the 0.05 level of significance for the test. 0.042 Total X 120 3

Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 120 employee absences. The distribution of these 120 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 120 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (Observedrequency Expectedrequeno (SO-JE)² JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. (SO-JE)² Round your responses to three or more decimal places. JE Send data to Excel Observed frequency fo Expected frequency JE 2 (Jo-JE)² SE Expectedrequency Monday 29 0 Tuesday Wednesday .. 16 24.00 2.667 (a) Determine the type of test statistic to use. Type of test statistic: 21 24.00 0.375 Thursday Friday 31 0 0 (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the critical value. (Round your answer to two or more decimal places.) 0 (d) Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? 23 24.00 Part 2 Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of the five weekdays. Use the 0.05 level of significance for the test. 0.042 Total X 120 3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 120 employee absences. The distribution of these 120 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 120 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-f)² (Observedrequency Expectedrequeno JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. (SO-JE)² responses to three or more decimal places. JE Round your Send data to Excel Observed frequency fo Expected frequency SE (Jo-JE)² JE Expectedrequency Monday 29 0 Tuesday 16 24.00 2.667 Wednesday 21 (a) Determine the type of test statistic to use. Type of test statistic: 24.00 0.375 Thursday Friday 31 0 (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the critical value. (Round your answer to two or more decimal places.) 0 23 (d) Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? 24.00 2 Part 2 Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of five weekdays. Use the 0.05 level of significance for the test. 0.042 Total X 120
Transcribed Image Text:Does it seem to you that people tend to be absent more on some days of the week than on others? Recently, a major biotechnology firm collected data with the hope of determining whether or not its employees were more likely to be absent on some weekdays than on others. The firm examined a random sample of 120 employee absences. The distribution of these 120 absences is shown in the table below. The observed frequency for each category (each weekday) is shown in the first row of numbers. The second row of numbers contains the frequencies expected for a sample of 120 employees if employee absences at the firm are equally likely on each of the five weekdays. The bottom row of numbers contains the following value for each of the categories. (fo-f)² (Observedrequency Expectedrequeno JE Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. (SO-JE)² responses to three or more decimal places. JE Round your Send data to Excel Observed frequency fo Expected frequency SE (Jo-JE)² JE Expectedrequency Monday 29 0 Tuesday 16 24.00 2.667 Wednesday 21 (a) Determine the type of test statistic to use. Type of test statistic: 24.00 0.375 Thursday Friday 31 0 (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the critical value. (Round your answer to two or more decimal places.) 0 23 (d) Can we conclude that absences by the firm's employees are more likely on some day(s) of the week than on others? 24.00 2 Part 2 Answer the following to summarize the test of the hypothesis that employee absences at this firm are equally likely on each of five weekdays. Use the 0.05 level of significance for the test. 0.042 Total X 120
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