Basic Business Statistics, Student Value Edition (13th Edition)

13th Edition

ISBN: 9780321946393

Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat

Publisher: PEARSON

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Chapter 10, Problem 7PS

When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which were asked to estimate the number of calories in a cheeseburger. One group was asked to do this after thinking about a calorie-laden cheesecake. A second group was asked to do this after thinking about an organic fruit salad. The mean number of calories estimated in a cheeseburger was 780 for the group that thought about the cheesecake and 1,041 for the group that thought about the organic fruit salad.

Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.

a. State the null and alternative hypotheses if you want to determine whether the mean estimated number of calories in the cheese-burger is lower for the people who thought about the cheesecake first than for people who thought about the organic fruit salad first.

b. In the context of this study, what is the meaning of the Type I or error?

c. In the context of this study, what is the meaning of the Type II error?

d. At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?

e. If you were developing a commercial for a cheeseburger, based on the results of (d), what other foods might you show in the commercial?

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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Chapter 10, Problem 6PS

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Chapter 10 Solutions

Basic Business Statistics, Student Value Edition (13th Edition)

Ch. 10 - If you have samples of n1=12andn2=15, in...Ch. 10 - Assume that you have a sample of n1=8, with the...Ch. 10 - What assumptions about the two populations are...Ch. 10 - Referring to Problem 10.2, construct a 95...Ch. 10 - Prob. 5PS Ch. 10 - Referring to Problem 10.2, if n1=5andn2=4, at the...Ch. 10 - When people make estimates, they are influenced by...Ch. 10 - Prob. 8PS Ch. 10 - A problem with a phone line that prevents a...Ch. 10 - Prob. 10PS

Ch. 10 - An important feature of digital cameras is battery...Ch. 10 - A bank with a branch located in a commercial...Ch. 10 - Repeat Problem 10.12 (a), assuming that the...Ch. 10 - As a member of the international strategic...Ch. 10 - Repeat Problem 10.14 (a), assuming that the...Ch. 10 - Prob. 16PS Ch. 10 - Prob. 17PS Ch. 10 - Prob. 18PS Ch. 10 - Prob. 19PS Ch. 10 - Nine experts rated two brands of coffee in...Ch. 10 - Prob. 21PS Ch. 10 - Super Target versus Walmart: Who has the lowest...Ch. 10 - Prob. 23PS Ch. 10 - Multiple myeloma, or blood plasma cancer, is...Ch. 10 - Prob. 25PS Ch. 10 - The file Concrete1 contains the compressive...Ch. 10 - Prob. 27PS Ch. 10 - Prob. 28PS Ch. 10 - Prob. 29PS Ch. 10 - Prob. 30PS Ch. 10 - Prob. 31PS Ch. 10 - Prob. 32PS Ch. 10 - What social media tools do marketers commonly use?...Ch. 10 - Prob. 34PS Ch. 10 - Prob. 35PS Ch. 10 - Prob. 36PS Ch. 10 - Prob. 37PS Ch. 10 - Prob. 38PS Ch. 10 - The following information is available is for two...Ch. 10 - In Problem 10.39, how many degrees of freedom are...Ch. 10 - In problem 10.38 and 10.39, what is the upper-tail...Ch. 10 - In Problem 10.39, what is your statistical...Ch. 10 - The following information is available for two...Ch. 10 - Prob. 44PS Ch. 10 - A problem with a telephone line that prevents a...Ch. 10 - Prob. 46PS Ch. 10 - A bank with a branch located in a commercial...Ch. 10 - Prob. 48PS Ch. 10 - Prob. 49PS Ch. 10 - Prob. 50PS Ch. 10 - Prob. 51PS Ch. 10 - Prob. 52PS Ch. 10 - Prob. 53PS Ch. 10 - What is the distinction between two independent...Ch. 10 - Prob. 55PS Ch. 10 - Prob. 56PS Ch. 10 - Prob. 57PS Ch. 10 - The American Society for Quality (ASQ) conducted a...Ch. 10 - Prob. 59PS Ch. 10 - Prob. 60PS Ch. 10 - The file Restaurants contains the rating for food,...Ch. 10 - A Computer information systems professor is...Ch. 10 - Prob. 63PS Ch. 10 - Prob. 64PS Ch. 10 - Prob. 65PS Ch. 10 - Prob. 66PS Ch. 10 - Prob. 67PS Ch. 10 - Prob. 68PS Ch. 10 - Prob. 69PS Ch. 10 - Referring to the results of Problems 10.67 and...

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Solution Summary: The author explains the null hypothesis and the alternative hypothesis for the provided scenario.

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