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MATLAB: An Introduction with Applications

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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Question

A researcher is studying how much electricity (in kilowatt hours) people from two different cities use in their homes. Random samples of 11 days from Tampa (Group 1) and 16 days from New York City (Group 2) are shown below. Test the claim that the mean number of kilowatt hours in Tampa is greater than the mean number of kilowatt hours in New York City. Use a significance level of \( \alpha = 0.10 \). Assume the populations are approximately normally distributed with unequal variances. Round answers to 4 decimal places.

**Data Table:**

| Tampa | New York City |
|-------|---------------|
| 1015.4 | 1010.0 |
| 1010.3 | 1021.9 |
| 1022.8 | 1015.9 |
| 1001.7 | 1018.9 |
| 1028.9 | 1005.8 |
| 1001.7 | 996.2 |
| 1026.9 | 1006.1 |
| 1022.6 | 1010.5 |
| 1001.7 | 1012.0 |
| 1020.2 | 1005.1 |
| 1012.4 | 1025.9 |
| | 1005.6 |
| | 1020.2 |
| | 985.3 |
| | 994.9 |
| | 1013.2 |

**Hypotheses:**

- Null Hypothesis (\( H_0 \)): The mean number of kilowatt hours used in Tampa is less than or equal to the mean number used in New York City.

- Alternative Hypothesis (\( H_1 \)): The mean number of kilowatt hours used in Tampa is greater than the mean number used in New York City.

Based on the hypotheses, find the following:

Test Statistic = [Text Box]

p-value = [Text Box]

The p-value is [Dropdown: Select an answer] to alpha.

The correct decision is to [Dropdown: Select an answer].

The correct summary would be: [Dropdown: Select an answer] the claim that the mean number of kilowatt hours in Tampa is greater than the mean number of kilowatt hours in New York City.

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