Question

If Upper X overbar equals 92​, Upper S equals 10​, and n equals 25​, and assuming that the population is normally​ distributed, construct a 95 % confidence interval estimate of the population​ mean, mu. Click here to view page 1 of the table of critical values for the t distribution. LOADING... Click here to view page 2 of the table of critical values for the t distribution. LOADING... nothingless than or equalsmuless than or equals nothing ​(Round to two decimal places as​ needed.)

Answer 1

Solution :

t _/2,df = 2.064

Margin of error = E = t_/2,df * (s /n)

= 2.064 * (10 / 25)

Margin of error = E = 4.13

The 95% confidence interval estimate of the population mean is,

- E < < + E

92 - 4.13 < < 90 + 4.13

87.87 < < 94.13