Question

Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...

Consider the following hypothesis test.

H0: μ ≥ 35

Ha: μ < 35

A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use

α = 0.01.

(a)

x = 34 and s = 5.2

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H0. There is sufficient evidence to conclude that μ < 35.

Do not reject H0. There is sufficient evidence to conclude that μ < 35.    

Do not reject H0. There is insufficient evidence to conclude that μ < 35.

Reject H0. There is insufficient evidence to conclude that μ < 35.

(b)

x = 33 and s = 4.6

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H0. There is sufficient evidence to conclude that μ < 35.

Do not reject H0. There is sufficient evidence to conclude that μ < 35.    

Do not reject H0. There is insufficient evidence to conclude that μ < 35.

Reject H0. There is insufficient evidence to conclude that μ < 35.

(c)

x = 36 and s = 4.0

Find the value of the test statistic.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H0. There is sufficient evidence to conclude that μ < 35.

Do not reject H0. There is sufficient evidence to conclude that μ < 35.    

Do not reject H0. There is insufficient evidence to conclude that μ < 35.

Reject H0. There is insufficient evidence to conclude that μ < 35.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 A sample of 36...
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to...
Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of...
Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) Using α = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is...
Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of...
Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.07. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At α = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ ≠ 15.Reject H0. There is...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 40 provided a sample mean of 26.2. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b)Find the p-value. (Round your answer to four decimal places.) (c)At α = 0.01, state your conclusion. Reject H0. There is sufficient evidence to conclude that μ > 25. Reject H0. There is insufficient evidence to...
Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p < 0.75 A sample of...
Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p < 0.75 A sample of 280 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) p = 0.67 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.65. (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. a. p-value > 0.200 b. 0.100 < p-value < 0.200     c. 0.050 < p-value < 0.100 d. 0.025 < p-value...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.64. (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 > 0.2000.100 < p-value < 0.200    0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...
Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. A. x = 34 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) B. Find the p-value. (Round your answer to four decimal places.) C. x = 33 and s = 4.5 Find the...
ou may need to use the appropriate technology to answer this question. Consider the following hypothesis...
ou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 50 Ha: μ < 50 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 49 and s = 5.2 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 40 Ha: μ < 40 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 39 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal...