##### Question

In: Statistics and Probability

# Can you please answer the following question Fifty cities provided information on vacancy rates (in percent)...

Fifty 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 3.6%, respectively. (You may find it useful to reference the appropriate table: chi-square table or F table)

 Vacancy Rate Frequency Less than 6 10 6 up to 9 10 9 up to 12 20 12 or more 10

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.

• H0: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3.6%.; HA: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3.6%.

• H0: Vacancy rates are normally distributed with a mean of 9% and a standard deviation of 3.6%.; HA: Vacancy rates are not normally distributed with a mean of 9% and a standard deviation of 3.6%.

b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

c. Find the p-value.

• p-value < 0.01

• 0.01 ≤ p-value < 0.025

• 0.025 ≤ p-value < 0.05

• 0.05 ≤ p-value < 0.10

• p-value ≥ 0.10

d. What is the conclusion?

• Reject H0; there is not enough evidence to support the claim that the vacancy rates are not normally distributed.

• Reject H0; there is enough evidence to support the claim that the vacancy rates are not normally distributed.

• Do not reject H0; there is not enough evidence to support the claim that the vacancy rates are not normally distributed.

• Do not reject H0; there is enough evidence to support the claim that the vacancy rates are not normally distributed.

## Solutions

##### Expert Solution  ## Related Solutions

##### Fifty cities provided information on vacancy rates (in percent) for local apartments in the following frequency...
Fifty cities provided information on vacancy rates (in percent) for local apartments in the following frequency distribution. Vacancy Rate (in percent) Frequency 0 up to 3 5 3 up to 6 5 6 up to 9 10 9 up to 12 20 12 up to 15 10 a. Calculate the average vacancy rate. b. Calculate the variance and the standard deviation for this sample. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
##### hirty-five cities provided information on vacancy rates (in percent) for local apartments in the following frequency...
hirty-five cities provided information on vacancy rates (in percent) for local apartments in the following frequency distribution. Vacancy Rate (in percent) Frequency 0 up to 3 7 3 up to 6 5 6 up to 9 6 9 up to 12 8 12 up to 15 9 a. Calculate the average vacancy rate. (Round your answer to 4 decimal places.) b. Calculate the variance and the standard deviation for this sample. (Round intermediate calculations to at least 4 decimal places...
##### Question 12 Please answer the following set of questions, based on the information provided below. The...
Question 12 Please answer the following set of questions, based on the information provided below. The data listed below give information for 10 middle-level managers at a particular company. The first column is years of experience [X] and the second column is annual salary (in thousands) [Y]. We are going to examine the relationship between salary in thousands [Y] and years of experience[X]. Below is the regression output. Manager#     (X)     (Y) 1 xx 66 2 xx 69 3...
##### Question 15 Please answer the following set of questions, based on the information provided below. A...
Question 15 Please answer the following set of questions, based on the information provided below. A service company is curious to know whether customer age is crucial in deciding to subscribe. The company has collected a random sample of 1000 people, and asked everyone whether he or she would subscribe to the service. The company knows which age group the person falls into: under 18 years of age, 18 - 29 years of age, 30-45 years of age and 46...
##### Question 14 Please answer the following set of questions, based on the information provided below. A...
Question 14 Please answer the following set of questions, based on the information provided below. A service company is curious to know whether customer age is crucial in deciding to subscribe. The company has collected a random sample of 1000 people, and asked everyone whether he or she would subscribe to the service. The company knows which age group the person falls into: under 18 years of age, 18 - 29 years of age, 30-45 years of age and 46...
##### digtial electronic please answer this Question with clear information and as much information as you can...
digtial electronic please answer this Question with clear information and as much information as you can A. what is the objectives or abstract of the different Electronic devices B. Please summarize what is the different Electronic device