Question

In: Statistics and Probability

The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...

The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 22 items from the first population showed a mean of 113 and a standard deviation of 12. A sample of 16 items for the second population showed a mean of 99 and a standard deviation of 6. Use the 0.01 significant level. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the decision rule for 0.010 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision regarding the null hypothesis? Use the 0.01 significance level.

Solutions

Expert Solution

Degrees of freedom formula ( my calculator directly gave you the value so i did mention the formula here )


Related Solutions

The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 27 items from the first population showed a mean of 106 and a standard deviation of 13. A sample of 14 items for the second population showed a mean of 102 and a standard deviation of 6. Use the 0.05 significant level. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 20 items from the first population showed a mean of 100 and a standard deviation of 15. A sample of 16 items for the second population showed a mean of 94 and a standard deviation of 8. Use the .05 significant level. Assume the sample populations do not have equal standard deviations and use the .05 significance level: (a) determine the number...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 24 items from the first population showed a mean of 113 and a standard deviation of 13. A sample of 18 items for the second population showed a mean of 103 and a standard deviation of 14. Use the 0.05 significant level. a. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) b....
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 23 items from the first population showed a mean of 107 and a standard deviation of 12. A sample of 15 items for the second population showed a mean of 102 and a standard deviation of 5. Use the 0.025 significant level. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) State the...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 28 and a sample standard deviation of 3.6. At the 0.05 significance level, is there a difference between the population means? State the decision rule. (Negative values should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 12 observations from one population revealed a sample mean of 25 and a sample standard deviation of 3.5. A random sample of 9 observations from another population revealed a sample mean of 30 and a sample standard deviation of 3.5. At the 0.01 significance level, is there a difference between the population means? State the decision rule. (Negative values should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 9 observations from one population revealed a sample mean of 22 and a sample standard deviation of 3.9. A random sample of 9 observations from another population revealed a sample mean of 27 and a sample standard deviation of 4.1. At the 0.01 significance level, is there a difference between the population means? State the decision rule. (Negative amounts should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. A random sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3. At the 0.05 significance level, is there a difference between the population means? State the decision rule. (Negative amounts should...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 10 observations from Population 1 revealed a sample mean of 21 and sample deviation of 5. A random sample of 4 observations from Population 2 revealed a sample mean of 22 and sample standard deviation of 5.1. The underlying population standard deviations are unknown but are assumed to be equal. At the .05 significance level, is there a difference between...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2...
The null and alternate hypotheses are: H0 : μ1 = μ2 H1 : μ1 ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 3.5. A random sample of 4 observations from another population revealed a sample mean of 27 and a sample standard deviation of 3.6. At the 0.01 significance level, is there a difference between the population means? State the decision rule. (Negative values should...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT