Math (Statistics)

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1) Use the given data to find the minimum sample size required to estimate the population proportion.
Margin of error: 0.04; confidence level: 94%; q̂ unknown
a. 486 ***
b. 572
c. 553
d. 587

2) Use the given data to find the minimum sample size required to estimate the population proportion.
Margin of error: 0.04; confidence level: 95%; from a priority study, p̂ is estimated by the decimal equivalent of 89%
a. 209
b. 708 ***
c. 9
d. 236

3) Solve the problem. Round the point estimate to the nearest thousandth.
When 430 randomly selected light bulbs were tested in a laboratory, 224 of them lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.
a. 0.521 ***
b. 0.479
c. 0.519
d. 0.343

4) Use the confidence level and sample data to find the margin of error E. Round your answer to the same number of decimal places as the sample mean unless otherwise noted.
Replacement times for washing machines: 90% confidence; n = 45, x̅ = 11.9 years, σ = 2.0 years
a. 0.5 yr
b. 0.1 yr
c. 0.4 yr ***
d. 2.9 yr

5) Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the sample mean is within 3.7 lbs of the population mean, and the population standard deviation is known to be 28 lb.
a. 156
b. 153 ***
c. 221
d. 155

6) Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many business students must be randomly selected to estimate the mean monthly earnings of business students at one college? We want 95% confidence that the sample mean is within $128 of the population mean, and the population standard deviation is known to be $536
a. 68
b. 47
c. 59 ***
d. 95

7) Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many weeks of data must be randomly sampled to estimate the mean weekly sales of a new line of athletic footwear? We want 99% confidence that the sample mean is within $200 of the population mean, and the population standard deviation is known to be $1100
a. 117
b. 82
c. 201 ***
d. 165

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