Question

In: Statistics and Probability

Consider the test of H0 : µ = 300 Vs. Ha : µ ≠ 300 using...

Consider the test of H0 : µ = 300 Vs. Ha : µ ≠ 300 using a random sample of 36 values and α = 5%. Assume that σ = 40. Find the power of the test when µa = 285.

Solutions

Expert Solution

Hi dear, I have tried to explain as much as I can to solve your problem. So please thumbs up if you are satisfied with it. Thank you!!!


Related Solutions

To test the hypothesis H0 : µ = 5 vs. Ha : µ 6= 5, a...
To test the hypothesis H0 : µ = 5 vs. Ha : µ 6= 5, a random sample of 18 elements is selected which yielded a sample mean of x¯ = 4.6 and a sample standard deviation of s = 1.2. The value of the test statistic is about: (a) −2.121 (b) −1.923 (c) −1.414 (d) 0.345 (e) 1.455
5. Consider the hypothesis test H0 : µ = 18, Ha :µ ≠ 18. A sample...
5. Consider the hypothesis test H0 : µ = 18, Ha :µ ≠ 18. A sample of size 20 provided a sample mean of 17 and a sample standard deviation of 4.5. a. 3pts.Compute the test statistic. b.3pts. Find the p-value at the 5% level of significance, and give the conclusion. c. 5pts.Make a 99% confidence interval for the population mean. d. 5pts.Suppose you have 35 observations with mean17 and S.d. 4.5. Make a 90% confidence interval for the population...
We want to test H0 : µ ≥ 200 versus Ha : µ < 200 ....
We want to test H0 : µ ≥ 200 versus Ha : µ < 200 . We know that n = 324, x = 199.700 and, σ = 6. 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...
2. Suppose we have the hypothesis test H0 : µ = 200 Ha : µ >...
2. Suppose we have the hypothesis test H0 : µ = 200 Ha : µ > 200 in which the random variable X is N(µ, 10000). Let the critical region C = {x : x ≥ c}. Find the values of n and c so that the significance level of this test is α = 0.03 and the power of µ = 220 is 0.96.
Suppose an experimenter wishes to test H0: µ = 100 vs H1: µ ≠ 100 at...
Suppose an experimenter wishes to test H0: µ = 100 vs H1: µ ≠ 100 at the α = 0.05 level of significance and wants 1 – β to equal 0.60 when µ = 103. What is the smallest (i.e. cheapest) sample size that will achieve the objective? Assume the variable being measured is normally distributed with σ = 14.
You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS...
You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS of 15 observations from a Normal population. What values of the t statistic are statistically significant at the a = 0.005 level? t < - 3.326 or t > 3.326 t > 2.977 t < - 3.286 or t > 3.286 To study the metabolism of insects, researchers fed cockroaches measured amounts of a sugar solution. After 2, 5, and 10 hours, they dissected...
QUESTION 1: You are testing H0: µ = 0 against Ha: µ > 0 based on...
QUESTION 1: You are testing H0: µ = 0 against Ha: µ > 0 based on an SRS of 16 observations from a Normal population. What values of the t statistic are statistically significant at the a = 0.005 level? t < - 3.286 or t > 3.286 t > 2.947 t < - 3.252 or t > 3.252 QUESTION 2: A study of commuting times reports the travel times to work of a random sample of 22 employed adults...
Determine the p-value for testing: H0: µ = 15 Ha: µ > 15 when a random...
Determine the p-value for testing: H0: µ = 15 Ha: µ > 15 when a random sample of size 18 was taken from a normal population whose standard deviation is unknown and the value of the test statistic equals 2.35. The 98% confidence interval for the population proportion of successes when a random sample of size 80 was taken from a very large population and the number of successes in that sample was counted to be 20.  No concluding statement is...
Consider the following hypothesis test: H0: ? = 16 Ha: ? ? 16 A sample of...
Consider the following hypothesis test: H0: ? = 16 Ha: ? ? 16 A sample of 40 provided a sample mean of 14.17. The population standard deviation is 6. a. Compute the value of the test statistic (to 2 decimals). b. What is the p-value (to 4 decimals)? c. Using ? = .05, can it be concluded that the population mean is not equal to 16? Answer the next three questions using the critical value approach. d. Using ? =...
(a) Test H0 : p = 1/2 vs. Ha : p does not equal 1/2 for...
(a) Test H0 : p = 1/2 vs. Ha : p does not equal 1/2 for X ∼ Binomial(n=45,p), when we observe 16 successes. (b) Calculate a 95% confidence interval for p for the data above. (c) Calculate a 95% confidence interval for p when X ∼ Binomial(15,p) and we observe only successes
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT