Answered: The number of Dippin' Dots in a 5oz cup…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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