The number of Dippin' Dots in a 5oz cup of is normally distributed with a mean of 2000 dots. A sample of 10 cups served at a Dippin' Dots food truck produced the following dot quantities: 1991      2003      2024      1995      1987 2035      2021      2017      2006      2027 Use this data with ? = 0.05 to test the claim that the food truck is serving customers too many or too few dots in each 5oz cup.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The number of Dippin' Dots in a 5oz cup of is normally distributed with a mean of 2000 dots. A sample of 10 cups served at a Dippin' Dots food truck produced the following dot quantities:

1991      2003      2024      1995      1987
2035      2021      2017      2006      2027

Use this data with ? = 0.05 to test the claim that the food truck is serving customers too many or too few dots in each 5oz cup.

(a) Which distribution is appropriate to use here?  ---Select--- chi-square distribution Student's t distribution standard normal distribution
(b) What type of test is necessary?  ---Select--- left-tailed right-tailed two-tailed
(c) The sample test statistic is (round to two decimal places)
(d) The P-value is (round to three decimal places)
(e) We  ---Select--- reject fail to reject the null hypothesis, and conclude that at the  ---Select--- 1% 2% 5% level of significance, there is  ---Select--- sufficient insufficient evidence to conclude that some number other than 2000 dots are being served in each cup.
 
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