Question

A fast food restaurant recently added a new sandwich to its menu. To estimate the popularity of this sandwich, a random sample of 43 customers who ordered the sandwich were surveyed. Each of these customers were asked to rate this sandwich on a scale of 1 to 100. The manager used the resulting data to calculate a 95% confidence interval for the mean rating of the new sandwich.
95% confidence interval: (57.65, 66.84)

(a) Identify the parts of this confidence interval:
What is the sample statistic, y?

What is the margin of error?

(b) Interpret this interval:

We are 95% confident that the mean rating of the 43 selected customers is in this interval.We are confident that 95% of all customers would give the sandwich a rating in this interval.     We are 95% confident that the mean rating for all of this restaurant's customers is in this interval.If we took another random sample of size 43, we are 95% confident that all 43 ratings would be in this interval.

(c) Does this dataset provide sufficient evidence to conclude that μ ≠ 50?
--- Yes No , if we conducted a hypothesis test, the p-value would be  --- smaller greater than 0.05.

(d) If the manager changed the confidence level to 99%, how would the width of the interval change?
The interval would get  --- wider narrower , because the  --- critical value standard error would change.

Answer 1