Question

In: Statistics and Probability

Assume that you have a sample of n1=9​, with the sample mean X overbar 1=46​, and...

Assume that you have a sample of n1=9​, with the sample mean X overbar 1=46​, and a sample standard deviation of S1=6, and you have an independent sample of n2=15 from another population with a sample mean of X overbar 2=36 and the sample standard deviation S2=8.

Complete parts​ (a) through​ (d) below.

a.What is the value of the​ pooled-variance t STAT test statistic for testing H0: μ1=μ2​?

b. In finding the critical value, how many degrees of freedom are there?

c. using the significance level of alpha= 0.025, what is the critical value for a one-tail test of the hypothesis H0: μ1 greater than or equal to μ2​ against the alternative H1:μ1>μ2​?

d. what is your statistical decision?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Assume that you have a sample of n1=8, with the sample mean Xbar1= 49, and a...
Assume that you have a sample of n1=8, with the sample mean Xbar1= 49, and a sample standard deviation of S1=5, and you have an independant sample of n2=16 from another population with a sample mean of Xbar2 = 33 and a sample standard deviation S2=7. part a what is the value of the pooled variance TSTAT test statistic for testing Ho :  μ1=μ2​? part b In finding the critical​ value, how many degrees of freedom are​ there? part c: Using...
Assume that you have a sample of n1=4 , with a sample mean Xbar1 = 50...
Assume that you have a sample of n1=4 , with a sample mean Xbar1 = 50 , and a sample standard deviation of S1= 5, and you have an independant sample of n2 = 8 from another population with a sample mean Xbar2 = 32 and the sample standard deviation S2=6. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence that μ1>μ2​? part a determine the hypotheses a- Ho: μ1 not equal μ2​ ,...
Assume that you have a sample of n1=7, with the sample mean X1=48, and a sample...
Assume that you have a sample of n1=7, with the sample mean X1=48, and a sample standard deviation of s1=7, and you have an independent sample of n2=5 from another population with a sample mean x2=32 and the sample deviation s2=8. Assuming the population variances are equal, at 0.01 level of significance, is their evidence that u1>u2. Calculate the p value. Show work please
Assume that you have a sample of n1=8​, with the sample mean X1=48​, and a sample...
Assume that you have a sample of n1=8​, with the sample mean X1=48​, and a sample standard deviation of S1=5​, and you have an independent sample of n2=14 from another population with a sample mean of X2=33​, and the sample standard deviation S2=8. Construct a 90​% confidence interval estimate of the population mean difference between mu 1 μ1 and mu 2 μ2. Assume that the two population variances are equal.
Assume that you have a sample of n1=8​, with the sample mean X1=45​, and a sample...
Assume that you have a sample of n1=8​, with the sample mean X1=45​, and a sample standard deviation of S1=5, and you have an independent sample of n2=17 from another population with a sample mean of X2=35 and the sample standard deviation S2=8. Complete parts​ (a) through​ (d) below. a. What is the value of the​ pooled-variance tSTAT test statistic for testing H0: μ1=μ2​? tSTAT = ​(Round to two decimal places as​ needed.) b. In finding the critical​ value, how...
Assume that you have a sample of n 1 =4​, with the sample mean Upper X...
Assume that you have a sample of n 1 =4​, with the sample mean Upper X overbar1=46​, and a sample standard deviation of Upper S 1=5​, and you have an independent sample of n 2=7 from another population with a sample mean of Upper X overbar 2=37 and the sample standard deviation Upper S 2=6. Assuming the population variances are​ equal, at the 0.01 level of​ significance, is there evidence that μ1>μ2​? Determine the hypotheses. Choose the correct answer below.
A simple random sample of size n is drawn. The sample​ mean, x overbar x​, is...
A simple random sample of size n is drawn. The sample​ mean, x overbar x​, is found to be 17.8​, and the sample standard​ deviation, s, is found to be 4.9. ​(a) Construct a 95​% confidence interval about mu μ if the sample​ size, n, is 34. Lower​ bound= Upper​ bound= ​(Use ascending order. Round to two decimal places as​ needed.) ​(b) Construct a 95​% confidence interval about mu μ if the sample​ size, n, is 61. Lower​ bound=​ Upper​...
A simple random sample of size n is drawn. The sample​ mean, x overbar​, is found...
A simple random sample of size n is drawn. The sample​ mean, x overbar​, is found to be 18.4​, and the sample standard​ deviation, s, is found to be 4.8. Construct a 95​% confidence interval about μ if the sample​ size, n, is 34.
A simple random sample of size n is drawn. The sample​ mean, x overbar​, is found...
A simple random sample of size n is drawn. The sample​ mean, x overbar​, is found to be 18.9​, and the sample standard​ deviation, s, is found to be 4.4. a) Construct a 95​% confidence interval about mu if the sample​ size, n, is 34. Lower​ bound: nothing​; Upper​ bound: nothing ​(Use ascending order. Round to two decimal places as​ needed.) ​(b) Construct a 95​% confidence interval about mu if the sample​ size, n, is 61. Lower​ bound: nothing​; Upper​...
Assume that you have a sample of n 1 equals 7?, with the sample mean Upper...
Assume that you have a sample of n 1 equals 7?, with the sample mean Upper X overbar 1 equals 42?, and a sample standard deviation of Upper S 1 equals 6 comma and you have an independent sample of n 2 equals 17 from another population with a sample mean of Upper X overbar 2 equals 32 and the sample standard deviation Upper S 2 equals 8. Complete parts? (a) through? (d). Click here for page 1 of critical...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT