Consider the following hypothesis test. H0: ? = 18 Ha: ? ? 18 A sample of 48 provided a sample mean x? = 17 and a sample standard deviation s = 4.3. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) 1.61 (b) Use the t distribution table to compute a range for the p-value. p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 (c) At ? = 0.05, what is your conclusion? Do not reject H0. There is sufficient evidence to conclude that ? ? 18. Reject H0. There is sufficient evidence to conclude that ? ? 18. Reject H0. There is insufficient evidence to conclude that ? ? 18. Do not reject H0. There is insufficient evidence to conclude that ? ? 18.
Added by Dolores W.
Close
Step 1
3 / sqrt(48)) t = -2.78 Rounding to three decimal places, the value of the test statistic is -2.780. (b) Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 75 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
Consider the following hypothesis test Ho: μ ≤ 12 Ha: μ > 12 A sample of 25 provided sample mean x = 14 and sample standard deviation s = 4.27. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 (c) At α = 0.05, what is your conclusion? Reject Ho. There is insufficient evidence to conclude that μ > 12. Do not reject Ho. There is insufficient evidence to conclude that μ > 12. Reject Ho. There is sufficient evidence to conclude that μ > 12. Do not reject Ho. There is sufficient evidence to conclude that μ > 12.
Supreeta N.
Consider the following hypothesis test: H0: μ = 18 Ha: μ ≠ 18 A sample of 48 provided a sample mean x̄ = 17 and a sample standard deviation s = 4.5. If requires, round your answers to two decimal places. Enter negative values as negative numbers. a. Compute the value of the test statistic. -1.54 b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value. p-value is between .20 and .10 c. At α = 0.05, what is your conclusion? p-value is greater than 0.05, do not reject H0 d. What is the rejection rule using the critical value? Reject H0 if t is greater than 2.012 or t is less than -2.012 What is your conclusion? t = 18; do not reject H0
Shaiju T.
Consider the following hypothesis test H0: μd ≤ 0 Ha: μd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Population Element 1 2 Difference 1 21 21 2 28 27 3 18 18 4 20 18 5 26 24 (b) Compute ā. (c) Compute the standard deviation sd. (d) Conduct a hypothesis test using α = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not Reject H0. There is sufficient evidence to conclude that μd > 0. Reject H0. There is sufficient evidence to conclude that μd > 0. Reject H0. There is insufficient evidence to conclude that μd > 0. Do not reject H0. There is insufficient evidence to conclude that μd > 0.
Sri K.
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