For four populations, the population variances are assumed to be
equal. Random samples from each population provide the following
data.
Population |
Sample Size |
Sample Mean |
Sample Variance |
1 |
11 |
40 |
23.4 |
2 |
11 |
35 |
21.6 |
3 |
11 |
39 |
25.2 |
4 |
11 |
37 |
24.6 |
Using a .05 level of significance, test to see if the means for all
four populations are the same.
For four populations, the population variances are assumed to be equal. Random samples from each population...
Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and a standard deviation of 4.1 while the second sample has a mean of 40.1 and a standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. What can the researcher conclude? There is not sufficient evidence to reject...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 39 44 Sample Mean 9.3 7.3 Sample Variance 8.5 14.82 Construct a 90% confidence interval for the difference in the population means. (Use μ1 − μ2. Round your answers to two decimal places.) __________ to ____________ Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) __________ to _____________
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.
The following information was obtained from independent random samples. Assume normally distributed populations with equal variances. Sample 1 Sample 2 Sample Size 10 12 Sample Mean 52 51 Sample Variance 85 90 We are interested in testing H0: μSample 1 - μSample 2 = 0 Ha: μSample 1 - μSample 2 ≠ 0 Step 1 of 3: What is the value of the test statistic? Round your answer to four decimal places.
Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 36, μ = 11, σ2 = 9 μ= σ= (b) n = 100, μ = 4, σ2 = 4 μ= σ= (c) n = 8, μ = 110, σ2 = 1 μ= σ=
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.
The following information was obtained from independent random samples. Assume normally populations with equal Sample 1 Sample 2 12 Sample Size 10 Sample Mean 52 Sample Variance 85 We are interested in testing Hai sample 1 -Hsample 2 0 Step 2 of 3: Determine the p-value for the test. TablesKeypad Answer 1 Point Next Prev O p-value c 0.025 0.025< p-value <0.05 Op-value <0.1 。p-value > 0.2 None of the above o 2019 8 3 of 3 The following information...
1) Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 16, μ = 14, σ2 = 9 μ=σ= (b) n = 100, μ = 9, σ2 = 4 μ=σ= (c) n = 10, μ = 118, σ2 = 1 μ=σ= 3) A random sample of size...
The following five independent random samples are obtained from five normally distributed populations with equal variances. The dependent variable is the number of bank transactions in 1 month, and the groups are five different banks. Group 1 Group 2 Group 3 Group 4 Group 5 16 16 2 5 7 5 10 9 8 12 11 7 11 1 14 23 12 13 5 16 18 7 10 8 11 12 4 13 11 9 12 23 9 9 19...
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 =