STAT-3001-6/STAT-300lLSTAT-3001 P-5-Statistical Methods2017 Winter Qtr 11/2742/1
ID: 3350337 • Letter: S
Question
STAT-3001-6/STAT-300lLSTAT-3001 P-5-Statistical Methods2017 Winter Qtr 11/2742/18-PT3 Test: Week 6 Exam This Question: 5 pts Kristin Donovan a Time Remaining: 04 17:35 Submit T 16 of 30 (24 This Test: 100 pts pos You select a random sample of n-14 families in your neighborhood and find the following family sizes (number of people in the family) EEB Click the icon to view the table The mean family sze for the sample is Round to the nearest tenth as needed ) b. What is the standard deviation for the sample? The standard deviation for the sample (Round to the nearest tenth as needed) Anest rate for the mean fany sze for the population is (Round to the nearest tenth as needed ) Data Table d. What is the 95% confidence interval lor the estimate? (Round to the nearest tenth as needed ) e. Comment on the reliability of the estimate. Choose the correct answer below 2 of all families in a country O A. The sample is likely to be r O B. There is not enough data to make a conclusion O C. The sample is unlikely to be very representative of all families in a country nt DoneExplanation / Answer
(a)mean family size for the sample=sum/n=(2+3+...+4+5)=47/14=3.36 ( nearest 10th 3.4 )
(b) standard deviation=sqrt(sum(x-mean)2/n))=sqrt(1.52)=1.23 ( nearest 10th is 1.2 )
(c) best estimate of family size =3.4
(d) (1-alpha)*100% confidence interval for population mean=sample mean±z(alpha/2)*sd/sqrt(n)
95% confidence interval for population mean=sample mean±z(0.05/2)*sd/sqrt(n)
(e) for a country the sample size n=14 is very small , so it is not representative of population
the right choice is B.there is not enough data to make conclusison
following information has been generated using ms-excel
n= 14 sample mean= 3.4 sd= 1.2 z-value lower limit upper limit 95% confidence interval 1.96 2.77 4.03Related Questions
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