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Fifty nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The sample mean and the sample standard deviation are 9% and 3.0%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) Vacancy Rate Less than 6 Frequency 12 6 up to 9 9 up to 12 14 20 12 or more 13 a. Apply the goodness-of-fit test for normality at the 5% significance level. Do the sample data suggest that vacancy rates do not follow the normal distribution? First, select the appropriate null and alternative hypotheses. O Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%. Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

Fifty nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The sample mean and the sample standard deviation are 9% and 3.0%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) Vacancy Rate Less than 6 Frequency 12 6 up to 9 9 up to 12 14 20 12 or more 13 a. Apply the goodness-of-fit test for normality at the 5% significance level. Do the sample data suggest that vacancy rates do not follow the normal distribution? First, select the appropriate null and alternative hypotheses. O Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%. Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

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
Section10.4: Distributions Of Data
Problem 19PFA
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Fifty nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The sample mean and the sample standard deviation are 9% and 3.0%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) Vacancy Rate Less than 6 Frequency 12 6 up to 9 9 up to 12 12 or more 14 20 13 a. Apply the goodness-of-fit test for normality at the 5% significance level. Do the sample data suggest that vacancy rates do not follow the normal distribution? First, select the appropriate null and alternative hypotheses. O Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%. O Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
Transcribed Image Text:Fifty nine cities provided information on vacancy rates (in percent) in local apartments in the following frequency distribution. The sample mean and the sample standard deviation are 9% and 3.0%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table) Vacancy Rate Less than 6 Frequency 12 6 up to 9 9 up to 12 12 or more 14 20 13 a. Apply the goodness-of-fit test for normality at the 5% significance level. Do the sample data suggest that vacancy rates do not follow the normal distribution? First, select the appropriate null and alternative hypotheses. O Ho: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%. O Ho: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3%. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
c. Find the p-value. 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 Opvalue < 0.01 p-value 2 0.10 O 0.05 s p-value < 0.10 d. What is the conclusion? O Reject Ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed O Do not reject Ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed O Reject Ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed Do not reject Ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed
Transcribed Image Text:c. Find the p-value. 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 Opvalue < 0.01 p-value 2 0.10 O 0.05 s p-value < 0.10 d. What is the conclusion? O Reject Ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed O Do not reject Ho; there is enough evidence to support the claim that the vacancy rates are not normally distributed O Reject Ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed Do not reject Ho; there is not enough evidence to support the claim that the vacancy rates are not normally distributed
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