Question

A state representative wishes to estimate the mean number of women representatives 16) 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 32.2.) 4 32 33 34 24 27 15 48 25 16 19 31 18 39 21 58 130

Answer 1

The point estimate of the mean is 39.65. The 90% confidence interval is (25.45, 53.85).

Step-by-step explanation:

To estimate the mean number of women representatives per state legislature, we can use the sample mean as a point estimate of the population mean. The sample mean is calculated by summing up the values and dividing by the number of observations. In this case, the sample mean is 39.65.

To find the 90% confidence interval of the mean population, we can use the formula:

Confidence Interval = sample mean +/- (critical value * standard deviation/sqrt of sample size)

Using the given data, the confidence interval is (25.45, 53.85). This means that with 90% confidence, we estimate that the true mean number of women representatives per state legislature is between 25.45 and 53.85.