question archive A news outlet is investigating a claim that a fast food restaurant underiflls their beverages
A news outlet is investigating a claim that a fast food restaurant underiflls their beverages
Subject:StatisticsPrice: Bought3
A news outlet is investigating a claim that a fast food restaurant underiflls their beverages. The restaurant advertises that when you purchase a bevarage, you get 20 oz of whatever you order. The news outlet takes a sample of 28 beverages and finds that the sample mean is 19.4 oz with a standard deviation of 1.7 oz. To test the claim, the news outlet is going to construct a 90% confidence interval. The table below shows select t multipliers.
DF 90% 95% 98% 99%
26 1.706 2.056 2.479 2.779
27 1.703 2.052 2.473 2.771
28 1.701 2.048 2.467 2.763
29 1.699 2.045 2.462 2.759
Blank #1: What is the t-multiplier used to calculate the margin of error?
Blank #2: What is the margin of error for this 90% confidence interval? Round your answer to three decimal places.
Blanks #3 and #4: Write 90% confidence interval for the mean number of oz in each beverage. Round values of the interval to the tenth place.
( Blank #3 , Blank #4 )
Blank #5: Choose the statement best conclusion below (write either 1, 2, or 3 in blank #4):
1. Evidence suggests that the restaurant is underfilling their drinks since 20 oz is larger than the upper bound of our confidence interval.
2. Evidence suggests that the restaurant is overfilling their drinks since 20 oz is larger than the upper bound of our confidence interval.
3. Evidence suggests that the restaurant is telling the truth about their beverages as 20 oz is a possible value for the mean.
