Question

H0 : µ = 1m Ha : µ < 1m n=25 observed mean= 0.975m standard deviation...

H0 : µ = 1m

Ha : µ < 1m

n=25

observed mean= 0.975m

standard deviation = 0.05m

1. Write down the appropriate formula for the test statistic and calculate

2. what is the sampling distribution for this test statistic?

3. Level of significance is 0.05, what is the rejection region?

4. Is this statistically significant? Why/why not?

(i) what does this say about the hypotheses?

5. Would the answer to 4. be different if the level of significance was 0.01? why?

Homework Answers

Answer #1

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
H0 : µ = 1m Ha : µ < 1m test statistic = 2.5 1. what...
H0 : µ = 1m Ha : µ < 1m test statistic = 2.5 1. what is the sampling distribution for this test statistic? 2. Level of significance is 0.05, what is the rejection region? 3. Is this statistically significant? Why/why not? (i) what does this say about the hypotheses? 4. Would the answer to 3. be different if the level of significance was 0.01? why?
Sarah conducted the following hypothesis test for µ. (a was known) H0: µ = 7 Ha:...
Sarah conducted the following hypothesis test for µ. (a was known) H0: µ = 7 Ha: µ =l 7 31a a = .0394. Draw a picture of Sarah’s rejection region on the appropriate curve. 31b Sarah’s test statistic was Z = -1.S3. Draw a picture and find the p-value.
1. In testing a null hypothesis H0 versus an alternative Ha, H0 is ALWAYS rejected if...
1. In testing a null hypothesis H0 versus an alternative Ha, H0 is ALWAYS rejected if A. at least one sample observation falls in the non-rejection region. B. the test statistic value is less than the critical value. C. p-value ≥ α where α is the level of significance. 1 D. p-value < α where α is the level of significance. 2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0, suppose Z...
1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is...
1. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What is the value of α, i.e., maximum probability of Type I error? A. 0.90 B. 0.10 C. 0.05 D. 0.01 2. For testing H0 : µ = 0 vs. Ha : µ > 0, H0 is rejected if X >¯ 1.645, given n = 36 and σ = 6. What...
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 14.15. The population standard deviation is 3. A.) Compute the value of the test statistic. (Round to two decimal places). B.) What is the p-value? (Round to three decimal places) C.) Using a=0.01, what is your conclusion? D.) Using the critical value approach for the 99% confidence level, what is the critical value? what is the rejection rule?...
We want to test H0 : µ ≤ 120 versus Ha : µ > 120 ....
We want to test H0 : µ ≤ 120 versus Ha : µ > 120 . We know that n = 324, x = 121.100 and, σ = 9. We want to test H0 at the .05 level of significance. For this problem, round your answers to 3 digits after the decimal point. 1. What is the value of the test statistic? 2. What is the critical value for this test? 3. Using the critical value, do we reject or...
To test H0: µ = 42.0 vs. HA: µ ≠ 42.0, a sample of n =...
To test H0: µ = 42.0 vs. HA: µ ≠ 42.0, a sample of n = 40 will be taken from a large population with σ= 9.90. H0 will be rejected if the sample mean is less than 40.3 or greater than 43.7. Find and state the level of significance, α, to three (3) places of decimal.
Consider the following hypothesis test H0 : µ ? 12 Ha : µ > 12 A...
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 = 4.32 a. what is the value of the test statistic? b. At ? = 0.05, what is your conclusion ?
Question 1 Suppose X ∼ N(µ, 100). To test H0 : µ = 83.4 against Ha...
Question 1 Suppose X ∼ N(µ, 100). To test H0 : µ = 83.4 against Ha : µ > 83.4, let the critical region be defined by R = {x : x > 86.6}, where x is the sample mean of size n = 25 from this distribution. (a) What would be the decision if P25 i=1 Xi = 2050? [3 Marks] (b) What is the level of significance for this test? [3 Marks] (c) Define the power function for...
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 14.15. The population standard deviation is 3. Compute the value of the test statistic. (Round to two decimal places). What is the p-value? (Round to three decimal places) At α=0.05, what is your conclusion? (Reject the null hypothesis) or (Do not reject the null hypothesis)