Question

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?

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
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...
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?...
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.
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...
In testing H0: µ = 3 versus Ha: µ ¹ 3 when =3.5, s = 2.5,...
In testing H0: µ = 3 versus Ha: µ ¹ 3 when =3.5, s = 2.5, and n = 100, what is the decision at the 1% significance level? A. Reject the null. B. Fail to reject the null. C. More information is needed. D. None of the above.
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...
The z statistic for a one-sided test is z = 2.41 for Ha: m > m0....
The z statistic for a one-sided test is z = 2.41 for Ha: m > m0. This test is (A) not statistically significant at either a = 0.05 or a = 0.01. (B) statistically significant at a = 0.05 but not at a = 0.01. (C) statistically significant at both a = 0.05 and a = 0.01 You are testing Ho: m =0 against Ha: m ≠ 0 based on an SRS of 20 observations from a Normal population. What...
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...
Let the test statistic Z have a standard normal distribution when H0 is true. Give the...
Let the test statistic Z have a standard normal distribution when H0 is true. Give the significance level for each of the following situations. (Round your answers to four decimal places.) (a)    Ha: ? > ?0, rejection region z ? 1.77 (b)    Ha: ? < ?0, rejection region z ? ?2.62 (c)    Ha: ? ? ?0, rejection region z ? 2.81 or z ? ?2.81