You measure 44 textbooks' weights, and find they have a mean weight of 51 ounces. assume the population standard deviation is 11.8 ounces. based on this, construct a 95% confidence interval for the true population mean textbook weight. give your answers as decimals, to two places

(47.51, 54.49)

Step-by-step explanation:

Confidence interval for population mean is given by :-

, where n= sample size .

= population standard deviation.

= sample mean

= Two -tailed z-value for (significance level)

As per given , we have

n= 44

Significance level for 95% confidence =

Using z-value table ,

Two-tailed Critical z-value :

Now, the 95% confidence interval for the true population mean textbook weight will be :-

Hence, the 95% confidence interval for the true population mean textbook weight. :  (47.51, 54.49)

452,489 to the nearest thousand is 452,000