Question

Question 13 3 pts Question 28 3 pts Small Sample Mean Problem. A study was done to determine the effect of vitamin supplements for the mother on the birth weight of babies. The sample size was 17. All the women in the study regularly Small Mean Problem. Grandfather clocks have a particular market in Question 27 3 pts visited a doctor during their pregnancy. The data below show the auctions. One theory about the price at an auction is that it is higher summary statistics and a stem and leaf plot of the birth weight of the 17 babies. Weight is in kilograms (kg) when there are 10 or more bidders. From published data, the average Small Mean Problem. Grandfather clocks have a particular market in price of all grandfather clocks is given as $1,327. You are not given a standard deviation for all clocks. You are given a random sample of 14 auctions. You are given a random sample of 21 purchases of Leaf Мean Stem 3.761 247 purchases of grandfather clocks at auctions in Pennsylvania where Median 3.730 grandfather clocks at auctions in Pennsylvania. The sample statistics 254 02 22 39 43 3 52 68 73 73 4 09 13 33 37 4 47 68 514 in kg, stem is whole number 2147 is 2.47 Variance 0.531 there are 10 or more bidders. Assume your sample is random and are: Std Dev 0.729 approximately normal. The sample statistics are: Mean $1,343.04 19.380 CV Mean $1,491.43 Count 17 Std Dev - $414.04 Std Dev $411.53 C.V. 30.83 N 21 C.V.-27.59 N 14 You are asked to create a 90 % Confidence Interval around the price for The average weight of all babies from women receiving regular care You are asked to test to see if the price is higher than $1,327 when this sample. during pregnancy in the region of the study was 3.40 kg. (treat this as if it is the population value). You are asked to conduct a test to see if the there are 10 or more bidders. You will use alpha 05 Some asks what would happen if you calculated a 95% Confidence What is the standard error for this hypothesis test? I just want the sample mean from the mothers given vitamin supplements is higher Interval? You answer the BOE would be smalller. Is this True or False? than the regional average of 3.40. Use alpha 05. This is a two-tailed answer. Use 3 decimal places for your answer and use the proper rules test of rounding. OTrue True O False O False

Answer 1

27)

For 90%

sample mean, xbar = 1343.04
sample standard deviation, s = 414.04
sample size, n = 21
degrees of freedom, df = n - 1 = 20

Given CI level is 90%, hence α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05, tc = t(α/2, df) = 1.725

ME = tc * s/sqrt(n)
ME = 1.725 * 414.04/sqrt(21)
ME = 155.855

For 95%

sample mean, xbar = 1343.04
sample standard deviation, s = 414.04
sample size, n = 21
degrees of freedom, df = n - 1 = 20

Given CI level is 95%, hence α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025, tc = t(α/2, df) = 2.086

ME = tc * s/sqrt(n)
ME = 2.086 * 414.04/sqrt(21)
ME = 188.472

False, BOE would be larger

13)

FAlse, This is a one tailed test

28)

std.errro = s/sqrt(n)
= 411.53/sqrt(14)
= 109.986