poard-Athens Stat xChapter 12 Homework x Oeztamheducation.com/hmtpx Exercise 12-
ID: 3376441 • Letter: P
Question
poard-Athens Stat xChapter 12 Homework x Oeztamheducation.com/hmtpx Exercise 12-29 Algo Severty ctbes prowided irformation on vacency rates (in percent) in local apartments in the following trequency distribution The sample mean and the sample standard dei ation are 11% and 4 4%, respectively Use Table 3 Vacancy Rate (in percent) quency Less than 6 6 up to 9 9 up to 12 12 or more 10 25 28 a. Choose the appropiate null and altemative hypotheses HO Vacancy rates are normaly dstributed with a mean of 11% and a standard dev, at on of 4 4%. Ha Vacancy rates are not normály distributed with a mean of 11% and a standard deviation of 4 4% Ho vacancy rates are not normally distributed wth a mean of 1 1% and a standard deviation of 4 4% HA Vacancy rates are normaly distributed with a mean of 11% and a standard deviation of 4 4% b. Calculate the value of the test statistic at the 5% signficance level (Round the z value to 2 decimal places, all other intermediate values to at least 4 decimal places and final answer to 2 decimal places.) Test statisic c. Approumate the p-valueExplanation / Answer
Exercise 12-29 Algo
Answer: (a) The correct null and alternative hypothesis for example (a) is given as
H0: Vacancy rates are normally distributed with a mean of 11% and a standard deviation of 4.4%.
HA: Vacancy rates are not normally distributed with a mean of 11% and a standard deviation of 4.4%.
(b)
In order to calculate the z-score, we are in need of sample mean , population mean, sample size and sample standard deviation or population standard deviation. we have data as below
Above data is heavely negatively skewed as 76% of the vacancy rates fall in the last two class intervals.
The z-score is 3.80.
(c)
Since z-score is 3.80, therefore p-value is <0.025.
(d)
p-value is <0.025, we reject the H0
There is not enough evidence to support the claim that vacancy rates are normally distributed.
(e)
Yes, sample data support that data is not normally distributed.