Purchase Solution

Anova Single Factor Experiment

Not what you're looking for?

Ask Custom Question

The data is enclosed in the attachment.

Johnson's Service Center has devised three potential options available to preferred customers who redeem coupons and buy at least 15 gallons of fuel when they stop in. Option A is a flat 3 cents off each gallon. Option B is a combination of 2 cents off plus another $1 discount on the regular price of a $5 deluxe car wash. Option C is a $2 discount on the same $5 deluxe car wash but no reduction in the fuel purchase. The owner, Harold Johnson, ran each option on three different trial periods and tracked daily sales receipts from those customers who redeemed their coupons. The data collected is (masked to protect the interests of Mr. Johnson) shown in the table below:

Harold elected to conduct a one-way ANOVA for his single-factor experiment. The results of ANOVA is as follows. Some of the information is missing.

a. Please fill in the missing information.

b. What would be the appropriate hypotheses - Null and Alternate Hypotheses?

c. What decision would Harold make about the hypotheses? Why?

Attachments
Purchase this Solution
Solution Summary

It provides an example of hypothesis testing.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

View More Free Quizzes
Related BrainMass Solutions

  • ANOVA for single-factor experiment

    for his single-factor experiment.

  • Two way ANOVA

    209170 Two way ANOVA.. In a two-way ANOVA experiment, factor A is operating on 3 levels, factor B is operating on 2 levels, and there are 2 replications per cell.

  • Statistics: ANOVA, F-ratio, t-test, etc

    Chapter 14 1) Explain the advantage of using a two factor design instead of using two single factor designs (one for each of the two factors).

  • Solve one-way ANOVA problem using excel with a real example

    In the design of the experiment, when there are more than two factors in the design, we must check both main effects and interaction effects. The main effect refers to the impact of a single factor.

  • ANOVA

    Johnson) shown in the table below: (2 points) Option A Option B Option C $x5 x0 x1 x2 x1 $x9 x1 x3 x1 x2 x7 $x6 x2 x1 x0 x3 x6 Harold elected to conduct a one-way ANOVA for his single-factor experiment.

  • ANOVA and Significant Interaction

    description of the above experiment and an expansion of the ANOVA and having a significant interaction.

  • Diet Statistical Analysis

    H0: there is no difference in the mean amount of weight loss among the three diets H1: there is a difference in the mean amount of weight loss among the three diets Use Excel, we get the following table Anova: Single Factor SUMMARY

  • Factorial experiment, fixed model and mixed model using SAS

    17420 This solution shows how to use SAS to analyze a two factor factorial experiment. Two analyses were completed. The first analysis assumed a fixed ANOVA model and the second assumed a mixed ANOVA model.

  • Split Block Designs

    For example to discuss the effects of two factors (caffeine and exercise) in a single experiment, participants would be randomly assigned to four group as such: (a) Non exercise-non caffeine group (b) -exercise, 20 mg caffeine group (c) 50 minutes

View More Related Solutions