The table below shows the distribution of the sizes of a random sample of 290 households that were included in a survey conducted at Nyamebekyere about a month ago. Household Size Number of Households 14 2 11 3 24 4 38 5 45 6 55 7 46 8 30 9 21 10 10 11 4 12 2 Total 290 a) Use the data to draw a histogram and describe the shape of the distribution. b) Calculate the: i. Mode ii. Median iii. Mean iv. Range v. Variance vi. Standard Deviation c) The mean household size of Nyamebekyere, which was 7.1 about 10 years ago, is suspected to have changed. Conduct a significance test to ascertain whether this suspicion is backed by empirical evidence using an alpha level of 3%. [Hint: In computing your test statistic, use the sample mean and sample standard deviation you have already calculated
The table below shows the distribution of the sizes of a random sample of 290 households that were included in a survey conducted at Nyamebekyere about a month ago.
Household Size Number of Households
14
2 11
3 24
4 38
5 45
6 55
7 46
8 30
9 21
10 10
11 4 12 2 Total 290
a) Use the data to draw a histogram and describe the shape of the distribution.
b) Calculate the:
i.
ii.
iii. Mean
iv.
v. Variance
vi. Standard Deviation
c) The mean household size of Nyamebekyere, which was 7.1 about 10 years ago, is suspected to have changed. Conduct a significance test to ascertain whether this suspicion is backed by empirical evidence using an alpha level of 3%. [Hint: In computing your test statistic, use the sample mean and sample standard deviation you have already calculated
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