Question

Studies show that massage therapy has a variety of health benefits
and it is not too expensive. A sample of 10 typical one-hour
massage therapy sessions showed an average charge of $61. The
population standard deviation for a one hour session is s= $5.

a. using 90% confidence, what is the margin of error (to 2
decimals?)

b. using 95% confidence, what is the margin of error (to 2
decimals?)

Answer #1

Given that, sample size (n) = 10, sample mean = $61

and population standard deviation = $5

Here, the population is at least approximately normal is required.

a) A 90% confidence level has significance level of 0.10 and critical value is,

The margin of error (E) is,

=> Margin of error = **2.60**

b) A 95% confidence level has significance level of 0.05 and critical value is,

The margin of error (E) is,

=> Margin of error = **3.10**

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a. What assumptions about the population should
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b. Using 90% confidence, what is the margin of
error (to 2 decimals)?
c. Using 95% confidence, what is...

Studies show that massage therapy has a variety of health
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11 typical one-hour massage therapy sessions
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You may need to use the appropriate appendix table or technology to
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Studies show that massage therapy has a variety of health benefits
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Population Standard Deviation
5.0000
Sample Size
11
Sample Mean
54.9091
Confidence Interval
Confidence Coefficient
0.98
Lower Limit
Upper Limit
Hypothesis Test
Hypothesized Value
50
Test Statistic
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P-value (Upper Tail)
P-value (Two Tail)
0.0012
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11
Sample Mean
54.9091
Sample Standard
Deviation
5.5759
Confidence Interval
Confidence Coefficient
0.98
Lower Limit
Upper Limit
Hypothesis Test
Hypothesized Value
50
Test Statistic
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P-value (Upper Tail)
P-value (Two Tail)
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