Example: An analyst is conducting a test involving the following hypotheses HM 100 vs. H: >...
Page 4 Example: An analyst is conducting a test involving the following hypotheses Horn = 100 vs. Hu # 100 The population is known to be normally distributed with a standard deviation of 3. Assume that the sample size is 9. Suppose the acceptance region is 98.5 < X < 101.5, a. Find the Type I error b. Calculate the probability of making a Type II error if the population mean actually equals 103.
Page 4 Example: An analyst is conducting a test involving the following hypotheses Horn = 100 vs. Hu # 100 The population is known to be normally distributed with a standard deviation of 3. Assume that the sample size is 9. Suppose the acceptance region is 98.5 < X < 101.5, a. Find the Type I error b. Calculate the probability of making a Type II error if the population mean actually equals 103.
#8. The following hypotheses are to be tested, with ?0 100 Suppose that the population standard deviation is 28 and that the sample size is n The following decision rule is to be used: 100 Fail to reject Ho if X 104; reject Ho if X> 104 If ? = 100, what is the probability of making a type I error? (b) If u 110, what is the probability of making a type I error ? tgel error? Falto reject...
need help: Suppose that you are testing the hypotheses H0 με 16 vs. HA: μ< 16. A sample of size 16 results in a sample mean of 15.5 and a sample standard deviation of 20 a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for μ. d) Based on the confidence interval, at α#0.05 can you reject Ho? Explain. a) The...
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...
To test Ho: u 60 versus Hy: H <60, a random sample of size n 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. 囲Click here to view the t-Distribution Area in Right Tail. (a) If x 56.4 and s 12.4, compute the test statistic h" □ (Round to three decimal places as needed.)
1. An automobile tire manufacturer would like to claim that the tread life (in miles) of a certain type of tire is greater than 30,000 miles. Assuming a normal population with 1500 miles answer the following for a test of the hypotheses Ho :-30,000 versus Ha : μ > 30,000 a) Ifa -.01 specify the rejection region as an inequality involving the value of the test statistic b) Based on a sample size of n 25, the corresponding rejection region...
help thank you :) 4 pts Question 9 9. In a test of hypotheses H :u= 1873 vs. H:< 1873, the rejection region is the interval (-00, -2.896), the value of the sample mean computed from a sample of size 9 is m = 1792, and the value of the test statistic is t = -2.655. The correct decision and justification are Do not reject H, because the sample is small. Do not reject H, because -2.896 < -2.655. Reject...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. What would a Type II error mean in this situation? SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. What would a Type II error mean in this situation? SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the...