Answer:
Correct option:
We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie.
Step-by-step explanation:
The general formula for the (1 - α)% confidence interval for population mean is:
[tex]CI=\bar x\pm CV \times SE_{\bar x}[/tex]
Here:
[tex]\bar x[/tex] = sample mean
CV = critical value
[tex]SE_{\bar x}[/tex] = standard error of mean.
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the mean number of chocolate chips per cookie is (18.6, 21.3).
This 95% confidence interval implies that there is a 0.95 probability that the true mean number of chocolate chips per cookie is between 18.6 and 21.3.
Thus, the correct option is:
"We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie. "