Assume that all variable are approximately normally distributed.
Women Representatives in State Legislature
A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 states is selected, and the number of women representatives is shown. Based on the sample, what is the point estimate of the mean? Find the 90% confidence interval of the mean population. (Note: The population mean is actually 31.72, or about 32.) Compare this value to the point estimate and the confidence interval. There is something unusual about the data. Describe it and state how it would affect the confidence interval.
5 
33 
35 
37 
24 
31 
16 
45 
19 
13 
18 
29 
15 
39 
18 
58 
132 



Solution 7E
Step1 of 4:
From the given problem we have a data set and it is given below:
5  33  35  37  24 
31  16  45  19  13 
18  29  15  39  18 
58  132 



Here our goal is:
a). We need to find the point estimate of the mean.
b). We need to find the 90% confidence interval of the mean population.
c). We need to check is there any unusual about the data.
Step2 of 4:
a).
1). The mean price of the particular model is obtained from excel by using the function:
“=Average(Select all data)”
2). The standard deviation of the particular model is obtained from excel by using the function:
“=Std(Select all data)”
3). We have,
Now,
Therefore,
The degrees of freedom is calculated by using the formula:
Therefore,...