Independent random samples selected from two normal populations produced the following sample means and standard deviations....

Independent random samples selected from two normal populations produced the following sample means and standard deviations.

Sample 1

Sample 2

n₁ = 14

n₂ = 11

1 = 7.1

2 = 8.4

s1 = 2.3

s2 = 2.9

Find and interpret the 95% confidence interval for

Solutions

Expert Solution

Solution-

by the summarised data given, confidence interval for mean difference is calculated.

population standard deviation is unknown and assumed equal.

hence, t distribution is used.

◆ Confidence Interval and interpretation-

orchestra answered 1 year ago

Next > < Previous

Related Solutions

independent random samples selected from two normal populations produced the following sample means and standard deviations....

independent random samples selected from two normal populations produced the following sample means and standard deviations. sample 1: n1= 17, x1= 5.4, s1= 3.4 sample 2: n2 =12, x2 = 7.9, s2= 4.8 a. assuming equal variances, conduct the test ho: (m1-m2) is equal to 0, against the ha: (m1-m2) isn't equal to 0 using alpha = .05 b. find and interpret the 95% confidence interval (m1-m2).

Independent random samples selected from two normal populations produced the sample means and standard deviations shown...

Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. a. Assuming equal variances, conduct the test Upper H 0 : left parenthesis mu 1 minus mu 2 right parenthesis equals 0H0: μ1−μ2=0 against Upper H Subscript a Baseline : left parenthesis mu 1 minus mu 2 right parenthesis not equals 0Ha: μ1−μ2≠0 using alpha equals 0.10 .α=0.10. b. Find and interpret the 9090% confidence interval for left parenthesis mu 1...

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¯1=58.9,x¯2=74.7,s1=5.5s2=10.1 n 1 =37, x ¯ 1 =58.9, s 1 =5.5 n 2 =44, x ¯ 2 =74.7, s 2 =10.1 Find a 95.5% confidence interval for the difference μ1−μ2 μ 1 − μ 2 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,n2=48,x¯1=52.5,x¯2=77.5,s1=5s2=11 Find a 97.5% confidence interval for the difference μ1−μ2 of the means, assuming equal population variances. Confidence Interval =

In order to compare the means of two populations, independent random samples are selected from each...

In order to compare the means of two populations, independent random samples are selected from each population, with the results shown in the table below. Use these data to construct a 98% confidence interval for the difference in the two population means. Sample 1 Sample 2 Sample size 500 400 Sample mean 5,280 5,240 Sample standard dev. 150 200

Two random samples are selected from two independent populations. A summary of the sample sizes, sample...

Two random samples are selected from two independent populations. A summary of the sample sizes, sample means, and sample standard deviations is given below: n1=43, x¯1=59.1, ,s1=5.9 n2=40, x¯2=72.6, s2=11 Find a 99% confidence interval for the difference μ1−μ2 of the means, assuming equal population variances. _________<μ1−μ2<____________

Consider the following data for two independent random samples taken from two normal populations. Sample 1...

Consider the following data for two independent random samples taken from two normal populations. Sample 1 11 6 13 7 9 8 Sample 2 8 7 9 4 5 9 (a) Compute the two sample means. Sample 1Sample 2 (b) Compute the two sample standard deviations. (Round your answers to two decimal places.) Sample 1Sample 2 (c) What is the point estimate of the difference between the two population means? (Use Sample 1 − Sample 2.) (d) What is the...

Two independent random samples were selected from two normally distributed populations with means and variances (μ1,σ21)...

Two independent random samples were selected from two normally distributed populations with means and variances (μ1,σ21) and (μ2,σ22). The sample sizes, means and variances are shown in the following table. Sample 1 n1 = 13 x̄1 = 18.2 s21 = 75.3 Sample 2 n2 = 14 x̄2 = 17.1 s2= 61.3 (a). Test H0 : σ12 = σ2against Ha : σ12 ̸= σ2. Use α = 0.05. Clearly show the 4 steps. (b). TestH0 :μ1 −μ2 =0againstHa :μ1 −μ2 >0....

Consider independent random samples from two populations that are normal or approximately normal, or the case...

Consider independent random samples from two populations that are normal or approximately normal, or the case in which both sample sizes are at least 30. Then, if σ1 and σ2 are unknown but we have reason to believe that σ1 = σ2, we can pool the standard deviations. Using sample sizes n1 and n2, the sample test statistic x1 − x2 has a Student's t distribution where t = x1 − x2 s 1 n1 + 1 n2 with degrees...

In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results:

In order to compare the means of two populations, independent random samples of 234 observations are selected from each population, with the following results: Sample 1 Sample 2 x¯¯¯1=0x¯1=0 x¯¯¯2=4x¯2=4 s1=145s1=145 s2=100s2=100 (a) Use a 99 % confidence interval to estimate the difference between the population means (μ1−μ2). _______ ≤ (μ1−μ2) ≤ ________ (b) Test the null hypothesis: H0:(μ1−μ2)=0 versus the alternative hypothesis: Ha:(μ1−μ2)≠0. Using α=0.01α=0.01, give the following: the test statistic z= The final conclusion is A. There is not...

Subjects