Homework Answers
a) Degree of freedom = 
putting the values and rounding up to the next integer
b) confidence interval for the difference between two mean is
for 95% confidence and df= 61
c) 
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g results for two samples randomly taken from two populations with unequal (9%) Consider the followin...
Consider the following hypothesis test. The following results are from independent samples taken from two populations....
Consider the following hypothesis test. The following results are from independent samples taken from two populations. H0: Ha: μ1 μ2 0 μ1 μ2 0 Sample 1 Sample 2 n1 35 n2 40 13.6 10.1 s1 5.2 s2 8.5 testSELF x ¯1 x ¯2 x ¯1 x ¯ a. What is the value of the test statistic? b. What is the degrees of freedom for the t distribution? c. What is the p-value? d. At α .05, what is your conclusion?
(2 pts) Consider the test of the claims that the two samples described below come from...
(2 pts) Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α-0.01 Sample 1: ni - 17, x1- 21, s1 10 Sample 2: n2 -4, x2-29, s2 -5 (a) Degrees of freedom - (b) The test...
Consider the following hypothesis test. Ho:μ1-μ2=0 Hα:μ1-μ2 #0 The following results are from independent samples taken...
Consider the following hypothesis test. Ho:μ1-μ2=0 Hα:μ1-μ2 #0 The following results are from independent samples taken from two populations sample1 sample 2 n1-35 n2=40 x1=13.6 x2=10.1 s1=5.2 s2=8.5 a.What is the value of the test statistic? b.What is the value of the degrees of freedom for the distribution? c.What is the p-value? d.At α=.05, what is your conclusion?
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1= 37 n2=44 x-bar1= 58.6 x-bar2= 73.8 s1=5.4 s2=10.6 Find a 97% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances.
Consider the following results for two samples randomly taken from two normal populations with equal variances....
Consider the following results for two samples randomly taken from two normal populations with equal variances. Sample I Sample II Sample Size 28 35 Sample Mean 48 44 Population Standard Deviation 9 10 a. Develop a 95% confidence interval for the difference between the two population means. b. Is there conclusive evidence that one population has a larger mean? Explain.
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=51, n2=46, x¯1=57.8, x¯2=75.3, s1=5.2 s2=11 Find a 94.5% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=39, x¯1=57, s1=5.8 n2=50, x¯2=74.2 ,s2=10 Find a 98% confidence interval for the difference μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
#3. 2 Consider the following results for two samples randomly taken from two populations. AWN Sample...
#3. 2 Consider the following results for two samples randomly taken from two populations. AWN Sample Size Sample Mean 7 Sample Standard Deviation Sample A Sample B 20 25 28 22 9 a. Determine the degrees of freedom for the t distribution. 10 b. At 95% confidence, what is the margin of error? 11 c. Develop a 95% confidence interval for the difference between the two population means.
Consider the following data from two independent populations (with unequal variances). Sample Standard Deviation Sample Size...
Consider the following data from two independent populations (with unequal variances). Sample Standard Deviation Sample Size Sample #1 18 10 Sample #2 12 12 If an independent samples t-test is to be conducted, the appropriate degrees of freedom to use is? *****Answer is not 20****
1. 036 points value: Consider the following data from two independent populations (with unequal variances). Sample...
1. 036 points value: Consider the following data from two independent populations (with unequal variances). Sample #1 Sample #2 Sample Standard Deviation 18 12 Sample Size 10 12 If an independent samples t-test is to be conducted, the appropriate degrees of freedom to use is
(2 pts) Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α-0.01 Sample 1: ni - 17, x1- 21, s1 10 Sample 2: n2 -4, x2-29, s2 -5 (a) Degrees of freedom - (b) The test...
#3. 2 Consider the following results for two samples randomly taken from two populations. AWN Sample Size Sample Mean 7 Sample Standard Deviation Sample A Sample B 20 25 28 22 9 a. Determine the degrees of freedom for the t distribution. 10 b. At 95% confidence, what is the margin of error? 11 c. Develop a 95% confidence interval for the difference between the two population means.
1. 036 points value: Consider the following data from two independent populations (with unequal variances). Sample #1 Sample #2 Sample Standard Deviation 18 12 Sample Size 10 12 If an independent samples t-test is to be conducted, the appropriate degrees of freedom to use is
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