Thirty four cities provided information on vacancy rates (in percent) in local a

Question

Thirty four 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 8% and 3.0%, respectively. Use Table 3.

Calculate the value of the test statistic at the 1% significance 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.)

Thirty four 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 8% and 3.0%, respectively. Use Table 3.

Explanation / Answer

a)

H0: Vacancy rates are normally distributed with a mean of 8% and a standard deviation of 3%.; HA: Vacancy rates are not normally distributed with a mean of 8% and a standard deviation of 3%

b)

Test statistic =5.86

mean = 8 std deviation = 3 degree of freedom = k-m-1     = 3 Class Limits observed Normal Normal Expected 2=(O-E)2/E lower Upper Bin frequency(O) probabilty probabilty(p) frequency(E=p*O) - 6 -6 7 P(X<6) 0.2525 8.585 0.293 6 - 9 6-9 10 P(6<X<9) 0.3781 12.854 0.634 9 - 12 9-12 10 P(9<X<12) 0.2782 9.460 0.031 12 - inf 12-inf 7 P(12<X<inf) 0.0912 3.101 4.902 Total 34 1 34 5.859

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