# Unit 4: Hypothesis Testing Two Problems Set

August 30, 2017

uestion

Introduction

Improving the Kahana
Definition
Summary
Single Population Means

The Restaurant Revenue Problem
Hypothesis Tests for Single Population Means
Summary
One-sided Hypothesis Tests
Summary
Excel Utility (Single Populations)

Solving the Restaurant Revenue Problem
Exercise 1: Oma’s Pretzels
Exercise 2: The Clearwater Power Company
Exercise 3: Neshey’s Smooches
Single Population Proportions

The Restaurant Ambiance Problem
Hypothesis Tests for Single Population Proportions
Summary
Solving the Restaurant Ambiance Problem

Exercise 1: The Ventura Insurance Company
P-Values

Leo Demands a Deeper Understanding
P-Values
Summary
Solving the Restaurant Revenue Problem (Part II)
Exercise 1: Oma’s Revisited
Exercise 2: Neshey’s Revisited
Comparing Two Populations

Leisure Guests vs. Business Guests: Who spends more?
Using Hypothesis Tests to Compare Two Population Means
Summary
Hypothesis Tests for Two Population Proportions
Optional Example
Summary
Excel Utility (Two Populations)

Solving the Leisure vs. Business Guest Spending Problem
Exercise 1: The Burger Baron
Exercise 2: Karnivorous Kong vs. Peter the Pipsqueak
Exercise 3: Grapefruit Bizarre
Challenge: LeMer Fashion Design

At left you will see an outline of the topics covered in
Unit 4: Hypothesis Testing.
There are two homework problems associated with
this unit. There is one tab for each problem in this
workbook. Once you have completed the unit online,
you should attempt these problems and submit them
to your coach for assessment and feedback.

Amount
1.973
1.996
2.109
1.957
1.941
1.981
2.012
1.894
1.969
2.086
1.999
2.014
2.029
1.966
2.052
1.938
1.963
1.992
2.010
2.015
2.005
2.031
1.951
1.951
2.023
2.038
2.075
1.967
2.003
1.971
1.997
2.012
2.065
1.941
2.012
2.057
1.908
2.025
1.994
2.036
2.066
1.984
1.986
2.020
2.044
2.013
2.014
1.975
1.947
2.029

The following data represent the actual amount of soda in a
sample of fifty 2-liter bottles. You are in charge of production and
must assure that the bottles don’t have too much or too little in
them. At the 0.05 level of significance, is there evidence to
suggest that the mean amount of soda filled is different from 2.0
liters?
Q-1a: State the null hypothesis.
Q-1b: State the alternate hypothesis.
Q-1c: Perform the hypothesis test and state your conclusions and
evidence.
Suppose you didn’t care if the bottles had too much, you only
cared if the quantity in the bottles was less than 2.0 liters.
Q-1d: State the new null hypothesis.
Q-1e: State the new alternative hypothesis.
Q-1f: Perform the hypothesis test and state your conclusions and
evidence.

Late payment of medical claims can add to the cost of health care. The
auditing firm of Dewey, Cheatham, and Howe has discovered that for one
insurance company, 85.1% of the claims were paid in full when first
submitted based on a sample of 200 claims. Suppose that the insurance
company developed a new payment system in an effort to increase this
percentage. A sample of 200 claims processed under this new system
revealed that 180 of the claims were paid in full when first submitted. At the
5% level of significance, is there evidence that the population proportion of
claims paid in full under this new system is higher than the proportion of
claims paid in full under the old system?
Q-2a: State the null hypothesis
Q-2b: State the alternative hypothesis.
Q-2c: Perform the hypothesis test and state your conclusions and evidence.

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