The null and alternate hypotheses are: H0 : ?1 = ?2 H1 : ?1 ? ?2 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? a) State the decision rule. b) Compute the pooled estimate of the population variance. c) Compute the test statistic d) State your decision about the null hypothesis e) The p-value is between 0.02 and 0.01 less than 0.1 between 0.02 and 0.05 between 0.1 and 0.2 between 0.05 and 0.1
Added by Christopher R.
Step 1
Since we are given a significance level of 0.01, we will reject the null hypothesis if the p-value is less than 0.01. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 92 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
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 24 and a sample standard deviation of 4.6. A random sample of 8 observations from another population revealed a sample mean of 29 and a sample standard deviation of 4.1. At the 0.05 significance level, is there a difference between the population means? a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) c. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Rashmi S.
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 23 and a sample standard deviation of 2.5. A random sample of 5 observations from another population revealed a sample mean of 25 and a sample standard deviation of 2.7. At the 0.10 significance level, is there a difference between the population means? State the decision rule. (3 Decimal Places) The decision rule is to reject H0 if t<_____ or t>______. b. Compute the pooled estimate of the population variance. (3 Decimal Places) c. Compute the test statistic. (3 Decimal Places) d. State your decision about the null hypothesis. (Do not reject H0 or Reject H0) e. The p-value is a.) between 0.2 and 0.1 b.) less than 0.001 c.) between 0.02 and 0.05 d.) between 0.001 and 0.01 e.) between 0.05 and 0.1
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD