The following data was collected from a local high school and represents the number of points the women's basketball team scored in their first 10 games: 62, 55, 49, 71, 39, 66, 56, 57, 44, 48. If we wanted to calculate a two-sided 95% confidence interval for the population mean, what would the correct critical value be

The degrees of freedom are:

The confidence level is 0.95 or 95%, the significance would be and , the critical value for this case would be

And replacing we got:

Step-by-step explanation:

Information given

In order to calculate the mean and the sample deviation we can use the following formulas:  

(2)  

(3)  

represent the sample mean

population mean  

s=9.956 represent the sample standard deviation

n=10 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

  (1)

The degrees of freedom are:

The confidence level is 0.95 or 95%, the significance would be and , the critical value for this case would be

And replacing we got:

x

step-by-step explanation:

good luck on your studies! : )

david edward.