Question

A sample of $20$heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was $2.2$pounds with a standard deviation of $0.1$pounds. The population standard deviation is known to be $0.2$pounds.

Identify the following:

a. $\overline{x}=$

b. $\sigma =$

C. $n=$

Short answer

The value of

a). $\overline{x}=2.2$

b).$\sigma =0.2$

c).$n=20$

Step-by-step solution

Given Information (Part a)

The weight of each head of lettuce was then recorded. The mean weight was $2.2$ pounds with a standard deviation of $0.1$ pounds. The population standard deviation is known to be $0.2$ pounds.

Explanation(Part a)

The mean weight was $2.2$pounds.

Therefore,$\overline{x}=2.2$.

Given Information (Part b)

The mean weight was $2.2$pounds with a standard deviation of $0.1$pounds.

Explanation (Part b)

The mean weight was $2.2$pounds with a standard deviation of $0.1$pounds.

Therefore, $\sigma =0.2$.

Given Information (Part c)

A sample of $20$ heads of lettuce was selected.

Explanation (Part c)

A sample of 20 heads of lettuce was selected.
Therefore,$n=20$.