Question

In: Statistics and Probability

According to a​ report, the mean of monthly cell phone bills was $49.33three years ago. A...

According to a​ report, the mean of monthly cell phone bills was $49.33three years ago. A researcher suspects that the mean of monthly cell phone bills

is different from 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.

H0​: p, μ, σ___?____, >,≠,=,<____?____, $_______

H1​: p, μ, σ___?____, >,≠,=,<____?____, $_______

​(Type integers or decimals. Do not​ round.)

​(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 higher than $49.33when in fact the mean of the bill $49.33

B.The sample evidence led the researcher to believe the mean of the monthly cell phone bill is different from $49.33 when in fact the mean of the bill is $49.33

C.The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is higher than $49.33 when in fact the mean of the bill is higher than $49.33

D.The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $49.33 when in fact the mean of the bill is different from $49.33

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

A.The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is different from $49.33 when in fact the mean of the bill is different from $49.33

B.The sample evidence led the researcher to believe the mean of the monthly cell phone bill is different from $49.33 when in fact the mean of the bill is different from $49.33

C.The sample evidence led the researcher to believe the mean of the monthly cell phone bill is different from $49.33 when in fact the mean of the bill is $49.33

D.The sample evidence did not lead the researcher to believe the mean of the monthly cell phone is higher than $49.33 when in fact the mean of the bill ​$49.33

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orchestra answered 2 years ago
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