MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Exercise 1: Discarded Plastic**

*Data Set 42 "Garbage Weight"* includes weights (pounds) of discarded plastic from 62 different households. Those 62 weights have a mean of 1.911 pounds and a standard deviation of 1.065 pounds. We want to use a 0.05 level of significance to test the claim that this sample is from a population with a mean less than 2.000 pounds. Identify the null hypothesis and alternative hypothesis.

1. **Discarded Plastic**

2. **Discarded Plastic**  
   *Find the test statistic used for the hypothesis test described in Exercise 1.*

3. **Discarded Plastic**
   
   a. What distribution is used for the hypothesis test described in Exercise 1?
   
   b. For the hypothesis test described in Exercise 1, is it necessary to determine whether the 62 weights appear to be from a population having a normal distribution? Why or why not?

4. **Discarded Plastic**  
   *The P-value for the hypothesis test described in Exercise 1 is 0.2565.*

   a. What should be concluded about the null hypothesis?
   
   b. What is the final conclusion that addresses the original claim?

**Exercise 5: Streaming Devices**

A Leichtman Research Group survey of 1150 TV households showed that 49% of them had at least one stand-alone streaming device. We want to use these results with a 0.01 significance level to test the claim that for the population of all homes, more than 45% have streaming devices. Identify the null hypothesis and alternative hypothesis.

6. **Streaming Devices**  
   *Find the test statistic used for the hypothesis test described in Exercise 5.*

7. **Streaming Devices**  
   *The P-value for the hypothesis test described in Exercise 5 is 0.0029.*

   a. What should be concluded about the null hypothesis?
   
   b. What is the final conclusion that addresses the original claim?
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Transcribed Image Text:**Exercise 1: Discarded Plastic** *Data Set 42 "Garbage Weight"* includes weights (pounds) of discarded plastic from 62 different households. Those 62 weights have a mean of 1.911 pounds and a standard deviation of 1.065 pounds. We want to use a 0.05 level of significance to test the claim that this sample is from a population with a mean less than 2.000 pounds. Identify the null hypothesis and alternative hypothesis. 1. **Discarded Plastic** 2. **Discarded Plastic** *Find the test statistic used for the hypothesis test described in Exercise 1.* 3. **Discarded Plastic** a. What distribution is used for the hypothesis test described in Exercise 1? b. For the hypothesis test described in Exercise 1, is it necessary to determine whether the 62 weights appear to be from a population having a normal distribution? Why or why not? 4. **Discarded Plastic** *The P-value for the hypothesis test described in Exercise 1 is 0.2565.* a. What should be concluded about the null hypothesis? b. What is the final conclusion that addresses the original claim? **Exercise 5: Streaming Devices** A Leichtman Research Group survey of 1150 TV households showed that 49% of them had at least one stand-alone streaming device. We want to use these results with a 0.01 significance level to test the claim that for the population of all homes, more than 45% have streaming devices. Identify the null hypothesis and alternative hypothesis. 6. **Streaming Devices** *Find the test statistic used for the hypothesis test described in Exercise 5.* 7. **Streaming Devices** *The P-value for the hypothesis test described in Exercise 5 is 0.0029.* a. What should be concluded about the null hypothesis? b. What is the final conclusion that addresses the original claim?
**6. Streaming Devices** 

Find the test statistic used for the hypothesis test described in Exercise 5.

**7. Streaming Devices** 

The P-value for the hypothesis test described in Exercise 5 is 0.018.

a. What should be concluded about the null hypothesis?

b. What is the final conclusion that addresses the original claim?
expand button
Transcribed Image Text:**6. Streaming Devices** Find the test statistic used for the hypothesis test described in Exercise 5. **7. Streaming Devices** The P-value for the hypothesis test described in Exercise 5 is 0.018. a. What should be concluded about the null hypothesis? b. What is the final conclusion that addresses the original claim?
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