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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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