Homework Answers
d) Since the p value of the test is less than the significance level of 0.01 we have sufficient evidence to reject the null hypothesis and support our claim. This we conclude that the data provides strong statistical evidence that the average SENS reading for the after treatment is lower than before treatment.
So option A will be correct.
e) we have 2 response values per individual (before treatment and after treatment) and since they are of the same individual we expected them to be correlated and not independent. But there is no such thing as correct or incorrect p-value here, each test gives it's different p-value it's just that we cannot apply independent test here.
Moreover to apply independent samples t test we need to assume that the population variances of the two groups are equal. In paired t test there is lesser variation in the data values. So here option b is correct.
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ft SENS reading betore treatment D SENS reading after treatment. Assu ons are met. Descriptives Statistic...
(c)What is the test statistic? Give your answer to 3 decimal places. 5.971 (d)The p-value =...
(c)What is the test statistic? Give your answer to 3 decimal places. 5.971 (d)The p-value = 0.005. Which of the following is an appropriate conclusion? The data provides very strong statistical evidence that the average SENS reading after antihypertensive treatment is lower than the average SENS reading before antihypertensive treatment. The data does not provide statistical evidence that the the average SENS reading after antihypertensive treatment is lower than the average SENS reading before antihypertensive treatment. The data provides very...
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment Treatment...
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment Treatment One Two 2.5 7.2 5.2 7.6 5.8 4.4 6.3 4.5 4.7 5.2 4.8 3 Using technology, run the One-way ANOVA Test for this data: F-ratio: p-value: Now, run the Two Independent Sample t test on the same data: Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal. t-statistic: p-value: Do you...
3. Very-low-calorie diet (VLCD) Treatment Table gives B (before) and A (after) treatment data for obese...
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,...
statistics help 7) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test ie, describe the values of the test statistic that would result in rejection of t...
statistics help
7) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test ie, describe the values of the test statistic that would result in rejection of the null hypothesis Suppose you wish to test the claim that the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n-15 and a significance level of a-001, what criterion would be used for rejecting the null hypothesis...
15. The data table represents the measure of a variable before and after a treatment. Does...
15. The data table represents the measure of a variable before and after a treatment. Does the sample evidence suggest that the treatment is effective in decreasing the value of the response variable? Use the a= 0.05 level of significance. Complete parts (a) through (d). Individual Before, After, y 1 40 4 2 30 3 52 5 36 50 38 33 48 47 31 (a) What type of test should be used? Choose the correct answer below. O A. A...
You wish to test the following claim (Ha) at a significance level of α=0.001. d denotes...
You wish to test the following claim (Ha) at a significance level of α=0.001. d denotes the mean of the difference between pre-test and post-test scores. Ho:μd=0 Ha:μd<0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=127 subjects. The average difference (post - pre) is ¯d=−6.8 with a standard deviation of the differences of sd=24.7 The test statistic's value is (-6.8-0)/(24.7/sqrt(127)) =...
Where difference = jump height after shoes − jump height before shoes. At α = 0.10,...
Where difference = jump height after shoes − jump height
before shoes. At α = 0.10, is there enough evidence to support the
manufacurer’s claim? Assume the vertical jump heights are normally
distributed.
1 . Null hypothesis, μd = μafter − μbefore
2. Alternative hypothesis, μd = μafter − μbefore
3. which of the following is the appropriate test for these
data?
a) paired t test
b) two - independent samples Z test
c) two samples t test
d) two-...
21.HE.B: Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the...
21.HE.B: Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. The results are in the accompanying table on the next page. (a) Go through “The Drill” for paired t-tests (Use a 0.05 α-level and the corresponding confidence interval.) The Drill: Assumptions and Conditions Paired Data Condition The data must be paired. Only use pairing if...
in comparing the engagement levels of first-year statistics students. In a previous nation-wide study, engagement levels...
in comparing the engagement levels of first-year statistics students. In a previous nation-wide study, engagement levels were found to be normally distributed, with µ=60.00, σ=10.00. The lecturer collects a convenience sample of 50 first-year students and finds that her students have a mean engagement level equal to 75.54. What statistical procedure should be used, to test whether there is a significant mean difference in engagement levels between the lecturer’s first year students and the population average? a. One sample Z-test....
Stocks may be categorized by sectors such as consumer cyclical stocks and industrial stocks. A financial...
Stocks may be categorized by sectors such as consumer cyclical stocks and industrial stocks. A financial manager believed that the average rate of return of consumer cyclical stocks is different from that of industrial stocks. He collected data from consumer cyclical stocks and industrial stocks and did an independent two samples t-test in SPSS. The results are shown below: Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean...
(c)What is the test statistic? Give your answer to 3 decimal places. 5.971 (d)The p-value = 0.005. Which of the following is an appropriate conclusion? The data provides very strong statistical evidence that the average SENS reading after antihypertensive treatment is lower than the average SENS reading before antihypertensive treatment. The data does not provide statistical evidence that the the average SENS reading after antihypertensive treatment is lower than the average SENS reading before antihypertensive treatment. The data provides very...
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment Treatment One Two 2.5 7.2 5.2 7.6 5.8 4.4 6.3 4.5 4.7 5.2 4.8 3 Using technology, run the One-way ANOVA Test for this data: F-ratio: p-value: Now, run the Two Independent Sample t test on the same data: Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal. t-statistic: p-value: Do you...
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,...
statistics help
7) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test ie, describe the values of the test statistic that would result in rejection of the null hypothesis Suppose you wish to test the claim that the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n-15 and a significance level of a-001, what criterion would be used for rejecting the null hypothesis...
15. The data table represents the measure of a variable before and after a treatment. Does the sample evidence suggest that the treatment is effective in decreasing the value of the response variable? Use the a= 0.05 level of significance. Complete parts (a) through (d). Individual Before, After, y 1 40 4 2 30 3 52 5 36 50 38 33 48 47 31 (a) What type of test should be used? Choose the correct answer below. O A. A...
Where difference = jump height after shoes − jump height
before shoes. At α = 0.10, is there enough evidence to support the
manufacurer’s claim? Assume the vertical jump heights are normally
distributed.
1 . Null hypothesis, μd = μafter − μbefore
2. Alternative hypothesis, μd = μafter − μbefore
3. which of the following is the appropriate test for these
data?
a) paired t test
b) two - independent samples Z test
c) two samples t test
d) two-...
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