Solution :
Given that,
1) Population standard deviation = = 40 - 16 / 4 = 6 ( range rule thumb)
Margin of error = E = 1
At 99% confidence level the z is,
= 1 - 99%
= 1 - 0.99 = 0.01
/2 = 0.005
Z/2 = 2.576
sample size = n = [Z/2* / E] 2
n = [2.576 * 6 / 1]2
n = 238.88
Sample size = n = 239
n 239
2) Given that,
Population standard deviation = = 7
Margin of error = E = 0.3
At 95% confidence level the z is,
= 1 - 95%
= 1 - 0.95 = 0.05
/2 = 0.025
Z/2 = 1.96
sample size = n = [Z/2* / E] 2
n = [1.96 * 7/ 0.3]2
n = 2091.53
Sample size = n = 2092
n 2092
Use the information given to find the appropriate minimum sample size. (Round your answer up to the nearest whole numb...
Use the information given to find the appropriate minimum sample sizes. (Round your answer up to the nearest whole number.) Estimating P, -p, to within 0.06 with probability 0.98. Assume that the sample sizes will be equal, but that you have no prior knowledge about the values of P, and Pz: n = 1 ₂ 3 You may need to use the appropriate appendix table or technology to answer this question.
Use the information given to find the appropriate minimum sample sizes. (Round your answer up to the nearest whole number.) Estimating the difference between two means with a 95% margin of error equal to 35. Assume that the sample sizes will be equal and that 01 02 33.2. ni = n2 413 x You may need to use the appropriate appendix table or technology to answer this question.
Finding Sample Size. In Exercises 13-16, use the given information to find the minimum sample size required to estimate an unknown population mean u. 13. Credit Rating How many adults must be randomly selected to estimate the mean FICO (credit rating) score of working adults in the United States? We want 95% confidence that the sample mean is within 3 points of the population mean, and the population standard devia- tion is 68.
Use the given information to find the minimum sample size required to estimate an unknown population mean u. 4) How many women must be randomly selected to estimate the mean weight of women in one age group. We want 95 confidence that the sample mean is within 2.7 lb of the population mean, and the population standard deviation is kno MEAN. to be 25 lb.
Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c= 0.98,6 = 9.4, and E=1 Assume that a preliminary sample has at least 30 members. n= (Round up to the nearest whole number.) G
12. Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error: 0.04; confidence level 90%; p^ and q^ unknown n=____ (Round up to the nearest integer.) 13. Many states are carefully considering steps that would help them collect sales taxes on items purchased through the Internet. How many randomly selected sales transactions must be surveyed to determine the percentage that transpired over theInternet? Assume that we want to be...
Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error: two percentage points; confidence level 95%; from a prior study, ModifyingAbove p with caret is estimated by the decimal equivalent of 48% nequals nothing (Round up to the nearest integer.)
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 $131 of the population mean, and the population standard deviation is known to be $529.
Use the given information to find the minimum sample size required to estimate an unknown population mean mu. 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 $ 129 of the population mean, and the population standard deviation known to be $595.
QUESTION 6 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 3.4 lb of the population mean, and the population standard deviation is known to be 25 lb 208 148 145 147