According to a report, the standard deviation of monthly cell phone bills was $49.65 three years ago. A researcher suspects that the standard deviation 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. (a) State the hypotheses. Ho H₁: (Type integers or decimals. Do not round.) (b) Explain what it would mean to make a Type I error. Choose the correct answer below. OA. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is $49.65. OB. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is $49.65. OC. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is different from $49.65. O D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65. (c) Explain what it would mean to make a Type II error. Choose the correct answer below. OA. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65. OB. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is $49.65. OC. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is different from $49.65. O D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65.

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Author:Amos Gilat
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Statistics and Probability

According to a report, the standard deviation of monthly cell phone bills was $49.65 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is less today.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type Il error.
(a) State the hypotheses.
Но
H₁:
▼$
(Type integers or decimals. Do not round.)
(b) Explain what it would mean to make a Type I error. Choose the correct answer below.
C
O A. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is $49.65.
O B. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is $49.65.
O C.
The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is different from $49.65.
O D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65.
(c) Explain what it would mean to make a Type II error. Choose the correct answer below.
O A. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65.
OB. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is $49.65.
O C. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is different from $49.65.
O D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65.
Transcribed Image Text:According to a report, the standard deviation of monthly cell phone bills was $49.65 three years ago. A researcher suspects that the standard deviation of monthly cell phone bills is less today. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type Il error. (a) State the hypotheses. Но H₁: ▼$ (Type integers or decimals. Do not round.) (b) Explain what it would mean to make a Type I error. Choose the correct answer below. C O A. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is $49.65. O B. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is $49.65. O C. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is different from $49.65. O D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65. (c) Explain what it would mean to make a Type II error. Choose the correct answer below. O A. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65. OB. The sample evidence led the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is $49.65. O C. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is different from $49.65, when in fact the standard deviation of the bill is different from $49.65. O D. The sample evidence did not lead the researcher to believe the standard deviation of the monthly cell phone bill is less than $49.65, when in fact the standard deviation of the bill is less than $49.65.
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