An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are enual. Complete narts (a) and (h) 1.39 No candy Two candies H2 H1 33 18.13 33 20.78 2.45 The test statistic, t, is -5.40. (Kound to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Question 2
**Experiment on Candy and Tips**

An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are provided below along with the sample sizes. Assume that the two samples are independent simple random samples, chosen from normally distributed populations, and do not presume equal population standard deviations.

### Data Table

|               | Sample (n) | Mean (x̅) | Standard Deviation (s) |
|---------------|------------|-----------|------------------------|
| No Candy      | 33         | 18.13     | 1.39                   |
| Two Candies   | 33         | 20.78     | 2.45                   |

### Hypothesis
- **Null Hypothesis (H₀):** μ₁ = μ₂
- **Alternative Hypothesis (H₁):** μ₁ ≠ μ₂

### Test Statistic
The test statistic is calculated as \( t = 5.40 \) (rounded to two decimal places).

### P-Value
Calculate the P-value to three decimal places as needed.

This content guides through the process of hypothesis testing to explore the relationship between candy offerings and tipping behavior.
Transcribed Image Text:**Experiment on Candy and Tips** An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are provided below along with the sample sizes. Assume that the two samples are independent simple random samples, chosen from normally distributed populations, and do not presume equal population standard deviations. ### Data Table | | Sample (n) | Mean (x̅) | Standard Deviation (s) | |---------------|------------|-----------|------------------------| | No Candy | 33 | 18.13 | 1.39 | | Two Candies | 33 | 20.78 | 2.45 | ### Hypothesis - **Null Hypothesis (H₀):** μ₁ = μ₂ - **Alternative Hypothesis (H₁):** μ₁ ≠ μ₂ ### Test Statistic The test statistic is calculated as \( t = 5.40 \) (rounded to two decimal places). ### P-Value Calculate the P-value to three decimal places as needed. This content guides through the process of hypothesis testing to explore the relationship between candy offerings and tipping behavior.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman