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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According to a report, the mean of monthly cell phone bills was $48.75 three years ago. A researcher suspects that the mean of monthly cell phone bills is less today.

(a) Determine the null and alternative hypotheses.

(b) Explain what it would mean to make a Type I error.

(c) Explain what it would mean to make a Type II error.

(b) Explain what it would mean to make a Type I error. Choose the correct answer below:

- A. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is $48.75.
  
- B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is less than $48.75.

- C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is $48.75.
  
- D. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is different from $48.75.

(c) Explain what it would mean to make a Type II error. Choose the correct answer below:

- A. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is less than $48.75.

- B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is less than $48.75.

- C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is $48.75.

- D. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is different from $48.75.

Click to select your answer(s).
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Transcribed Image Text:According to a report, the mean of monthly cell phone bills was $48.75 three years ago. A researcher suspects that the mean of monthly cell phone bills is less today. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type II error. (b) Explain what it would mean to make a Type I error. Choose the correct answer below: - A. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is $48.75. - B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is less than $48.75. - C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is $48.75. - D. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is different from $48.75. (c) Explain what it would mean to make a Type II error. Choose the correct answer below: - A. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is less than $48.75. - B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is less than $48.75. - C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bill is $48.75. - D. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is different from $48.75. Click to select your answer(s).
According to a report, the mean of monthly cell phone bills was $48.75 three years ago. A researcher suspects that the mean of monthly cell phone bills is less today.

**(a) Determine the null and alternative hypotheses.**

State the hypotheses:

- \( H_0: \) [ ] = [ ] 
- \( H_1: \) [ ] < [ ]

(Type integers or decimals. Do not round.)

**(b) Explain what it would mean to make a Type I error. Choose the correct answer below.**

O A. The sample evidence led the researcher to believe the mean of the monthly cell phone bills is different from $48.75, when in fact the mean of the bills is $48.75.

O B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bills is less than $48.75, when in fact the mean of the bill is less than $48.75.

O C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bills is $48.75.

O D. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is different from $48.75.

**(c) Explain what it would mean to make a Type II error. Choose the correct answer below.**

Click to select your answer(s).
expand button
Transcribed Image Text:According to a report, the mean of monthly cell phone bills was $48.75 three years ago. A researcher suspects that the mean of monthly cell phone bills is less today. **(a) Determine the null and alternative hypotheses.** State the hypotheses: - \( H_0: \) [ ] = [ ] - \( H_1: \) [ ] < [ ] (Type integers or decimals. Do not round.) **(b) Explain what it would mean to make a Type I error. Choose the correct answer below.** O A. The sample evidence led the researcher to believe the mean of the monthly cell phone bills is different from $48.75, when in fact the mean of the bills is $48.75. O B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bills is less than $48.75, when in fact the mean of the bill is less than $48.75. O C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.75, when in fact the mean of the bills is $48.75. O D. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $48.75, when in fact the mean of the bill is different from $48.75. **(c) Explain what it would mean to make a Type II error. Choose the correct answer below.** Click to select your answer(s).
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