A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 38 grams of potato chips as compared to a mean of 27 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.1 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.8 grams. Complete parts (a) through (d) below. a. Assuming that the population variances are equal and x = 0.05, is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial? Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children. who watched the alternative food snack commercial. What are the correct null and alternative hypotheses? OA. Ho: H1-H₂*0 H₁ H₁ H₂=0 C. Ho: Hi-Hz=0 H₁: H₁-H₂>0 What is the test statistic? tSTAT = (Round to two decimal places as needed.) OB. Ho: H1-H₂ 20 H₁: H₁ H₂ <0 OD. Ho: H1-H₂=0 H₁: H1-H₂ #0
A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 38 grams of potato chips as compared to a mean of 27 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.1 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.8 grams. Complete parts (a) through (d) below. a. Assuming that the population variances are equal and x = 0.05, is there evidence that the mean amount of potato chips eaten was significantly higher for the children who watched the celebrity-endorsed commercial? Let population 1 be the weights of potato chips eaten by children who watched the celebrity-endorsed commercial and let population 2 be the weights of potato chips eaten by children. who watched the alternative food snack commercial. What are the correct null and alternative hypotheses? OA. Ho: H1-H₂*0 H₁ H₁ H₂=0 C. Ho: Hi-Hz=0 H₁: H₁-H₂>0 What is the test statistic? tSTAT = (Round to two decimal places as needed.) OB. Ho: H1-H₂ 20 H₁: H₁ H₂ <0 OD. Ho: H1-H₂=0 H₁: H1-H₂ #0
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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![### Study Findings and Hypothesis Testing
A recent study found the impact of commercials on the amount of potato chips consumed by children. The study compared two groups:
- **Children who watched a celebrity-endorsed potato chip commercial:**
- Number of children: 61
- Mean amount of potato chips consumed: 38 grams
- Sample standard deviation: 21.1 grams
- **Children who watched an alternative food snack commercial:**
- Number of children: 51
- Mean amount of potato chips consumed: 27 grams
- Sample standard deviation: 12.8 grams
#### Hypothesis Testing
Assuming equal population variances and a significance level (\(\alpha\)) of 0.05, we want to determine if the mean potato chip consumption is significantly higher for children who watched the celebrity-endorsed commercial compared to those who watched the alternative food snack commercial.
**Hypotheses:**
- Let population 1 represent children who watched the celebrity-endorsed commercial.
- Let population 2 represent children who watched the alternative food snack commercial.
The correct null and alternative hypotheses are:
- \(H_0: \mu_1 - \mu_2 \leq 0\)
- \(H_1: \mu_1 - \mu_2 > 0\)
**Test Statistic:**
Calculate the test statistic using the given data and round to two decimal places.
\[ t_{\text{STAT}} = \text{(Place solution here)} \]
Please fill in the test statistic value to complete the analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e7f7ecd-3648-4bba-a59f-45de6b01dfc9%2F32d1d83f-072b-49ea-9df5-bdc7bb52c17f%2F92oiimj_processed.png&w=3840&q=75)
Transcribed Image Text:### Study Findings and Hypothesis Testing
A recent study found the impact of commercials on the amount of potato chips consumed by children. The study compared two groups:
- **Children who watched a celebrity-endorsed potato chip commercial:**
- Number of children: 61
- Mean amount of potato chips consumed: 38 grams
- Sample standard deviation: 21.1 grams
- **Children who watched an alternative food snack commercial:**
- Number of children: 51
- Mean amount of potato chips consumed: 27 grams
- Sample standard deviation: 12.8 grams
#### Hypothesis Testing
Assuming equal population variances and a significance level (\(\alpha\)) of 0.05, we want to determine if the mean potato chip consumption is significantly higher for children who watched the celebrity-endorsed commercial compared to those who watched the alternative food snack commercial.
**Hypotheses:**
- Let population 1 represent children who watched the celebrity-endorsed commercial.
- Let population 2 represent children who watched the alternative food snack commercial.
The correct null and alternative hypotheses are:
- \(H_0: \mu_1 - \mu_2 \leq 0\)
- \(H_1: \mu_1 - \mu_2 > 0\)
**Test Statistic:**
Calculate the test statistic using the given data and round to two decimal places.
\[ t_{\text{STAT}} = \text{(Place solution here)} \]
Please fill in the test statistic value to complete the analysis.
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