We have here,
Sample mean for difference=7
Sample standard deviation for difference=13.64
Sample size =n= 4
T test statistic for paired t test
=1.03
P value is = 0.3788................by using Excel command TDIST(1.03,3,2)
0.3788>0.10
The water diet requires one to drink two cups of water every half hour from when...
3. Very-low-calorie diet (VLCD) Treatment Table gives B (before) and A (after) treatment data for obese female patients in a weight-loss program Table of Weight Loss Data 86.2 Before 99.5 126.3 91.7 121.4 111.4 108.6 114.3 115.4 73.9 79 After 72.7 87.7 93.3 92.3 96.9 84.8 92.9 Weight(kg) of Obese Women Before and After 12-Week VLCD Treatment Can we conclude, at the 95 % confidence level, that the treatment is effective in causing weight reduction in these people. That is,...
When 40 people use the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds. Historically the standard deviation is σ = 4.9 pounds (based on data from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,” by Dansinger, et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0....
Suppose a hypothesis test is conducted using a significance or alpha level of 0.05, and the null hypothesis is rejected. This means that? A we would also reject the null hypothesis if the significance level had been 0.10 instead of 0.05. B the p-value was greater than 0.05. C we would also reject the null hypothesis if the significance level had been 0.01 instead of 0.05. D All answer options are correct.
A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 5 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) ClientWeight on First...
(3 points) When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. A. The chance of committing a Type I error changes from 0.10 to 0.05. B. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis). C. The chance that the null hypothesis is true changes from 0.10 to 0.05. D. It becomes easier to prove...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 Sample 2 x¯1=20.92 x¯2=26.80 s21=2.89 s22=3.81 n1=19 n2=15 Test the null hypothesis H0:μ1=μ2against the alternative hypothesis HA:μ1<μ2. a) Calculate the test statistic for the Welch Approximate t procedure. Round your response to at least 3 decimal places. b) The Welch-Satterthwaite approximation to the degrees of freedom is given by df = 27.983055. Using this information, determine the range in which the p-value...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 Sample 2 x¯1=20.08 x¯2=24.51 s21=2.05 s22=3.20 n1=19 n2=16 Test the null hypothesis H0:μ1=μ2against the alternative hypothesis HA:μ1<μ2. a) Calculate the test statistic for the Welch Approximate t procedure. Round your response to at least 3 decimal places. b) The Welch-Satterthwaite approximation to the degrees of freedom is given by df = 28.610808. Using this information, determine the range in which the p-value...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 F1 = 23.65 = 2.50 p1 = 18 Sample 2 F2 = 25.62 = 3.28 p2 = 20 Test the null hypothesis Ho: P1 = r2 against the alternative hypothesis HA : H1 CH2 a) Calculate the test statistic for the Welch Approximate procedure. Round your response to at least 3 decimal places. Number b) The Welch-Satterthwaite approximation to the degrees of...
Environmentalists concerned about the impact of high-frequency radio transmissions on birds found that there was no evidence of a higher mortality rate among hatchlings in nests near cell towers. They based this conclusion on a test using a = 0.05. Would they have made the same decision at a = 0.10? How about a 0.01? Explain Choose the correct answer below. A. Since the significance level is paramount in the experiment design, the researchers would have collected different data when...
Consider the following summary statistics, calculated from two independent random samples taken from normally distributed populations. Sample 1 F1 = 22.49 11 = 2.54 P1 = 15 Sample 2 F2 = 27.31 3 = 3.08 P2 = 18 Test the null hypothesis HO : H1 = 2 against the alternative hypothesis HA: MI <H2 a) To save you on calculations, I will tell you that the standard error of the difference in sample means (SE(X_1 bar - X_2 bar)) is...