Question

QUESTION PART A: For a confidence level of 80% with a sample
size of 26, find the critical *t* value.

QUESTION PART B: Assume that a sample is used to estimate a
population mean μμ. Find the margin of error *M.E.* that
corresponds to a sample of size 13 with a mean of 46.5 and a
standard deviation of 13.3 at a confidence level of 99%.

Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.

*M.E.* =

Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

Answer #1

A: For a confidence level of 80% with a sample size of 26, the degree of freedom is calculated as n-1=26-1=25

the critical t value is calculated using excel formula =T.INV.2T(0.2,25) which results in t value=1.316.

B: For a sample of size n=13 with a mean of M=46.5 and a standard deviation of S=13.3 at a confidence level of 99% the margin of error E is calculated as:

=>E=. *t** (*s*_{M})

where:

*t* = *t* statistic determined by the confidence
level and degree of freedom using excel formula. df=n-1

*s*_{M} = standard error =
√(*s*^{2}/*n*)

*t* = 3.055 calculated using excel formula at df=n-1=13-1=12
, the formula used to find the tc is =T.INV.2T(0.01,12)

*s*_{M} = √(13.3^{2}/13) =
3.69

=> *t** (*s*_{M})

=> 3.055*3.689

=> 11.3

Assume that a sample is used to estimate a population mean μμ.
Find the margin of error M.E. that corresponds to a sample
of size 11 with a mean of 47.5 and a standard deviation of 12.7 at
a confidence level of 99%.
Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

Assume that a sample is used to estimate a population mean μμ.
Find the margin of error M.E. that corresponds to a sample
of size 13 with a mean of 64.2 and a standard deviation of 9.3 at a
confidence level of 95%.
Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

Assume that a sample is used to estimate a population mean μμ.
Find the margin of error M.E. that corresponds to a sample
of size 13 with a mean of 32.6 and a standard deviation of 16.2 at
a confidence level of 90%.
Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

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Find the margin of error M.E. that corresponds to a sample
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Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

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μμ. Find the margin of error M.E. that corresponds to a
sample of size 41 with a mean of 50.2 and a standard deviation of
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Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

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μμ. Find the margin of error M.E. that corresponds to a
sample of size 23 with a mean of 74.6 and a standard deviation of
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Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.

This is under "Confidence Intervals for a
Mean":
Assume that a sample is used to estimate a population mean μ.
Find the margin of error M.E. that corresponds to a sample
of size 12 with a mean of 46.8 and a standard deviation of 13.2 at
a confidence level of 90%.
Report ME accurate to one decimal place because the sample
statistics are presented with this accuracy.
M.E. = ?
Answer should be obtained without any preliminary rounding.
However, the...

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M.E. =

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