7) El Burrito, a fast food chain, is attempting to standardize the process in production of food items. It randomly selects 22 Grande Bean Burritos from stores around the country and weighs them. The mean weight is 1.4 pounds and the standard deviation is 0.5 pounds. Assume that burrito weights are approximately normally distributed.

Using the information provided for this activity, compute the 95% confidence interval for the estimate of the population mean weight based on the sample of 42 burritos..

( 1.25, 1.55)

Therefore at 95% confidence interval (a,b) = ( 1.25, 1.55)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.4

Standard deviation r = 0.5

Number of samples n = 42

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

1.4+/-1.96(0.5/√42)

1.4+/-1.96(0.0772)

1.4+/-0.1512

1.4+/-0.15

= ( 1.25, 1.55)

Therefore at 95% confidence interval (a,b) = ( 1.25, 1.55)