Consider the following hypothesis test:Ho: μ ≤ 12Ha: μ > 12A sample of 25 provided a sample mean = 14 and a sample standard deviation s = : 4.32.a. Compute the value of the test statistic (to 2 decimals).b. Use the t distribution table (Table 2 in Appendix B) to compute a range for the p-value.The p-value is between 0.005 and 0.01 ✓c. At a = 0.05, what is your conclusion?Reject null hypothesisd. What is the rejection rule using the critical value? (Use a = 0.05.)Reject Ho if t is less than or equal tothe critical value ofCan you conclude that the population mean is greater than 12?No(to 3 decimals).

From the information, the hypotheses given are,Also, given thatThe claim is to test whether the…

Answered: Consider the following hypothesis test:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 **THAT A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ? and what is your conclusion at α=0.01? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05?
Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 **THAT A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). *What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05?
Consider the following hypothesis test:H0 : μ ≤12Ha : μ >12 A sample of 25 provided a sample mean 14 and standard deviation 4.32. Computeand state your conclusion using α = 0.05.
Consider the following hypothesis test: H0:μ = 18 Ha:μ ≠ 18A sample of 48 provided a sample mean x̅ = 17 and a sample standard deviation s = 4.5. a. Compute the value of the test statistic. b. use the t distribution table to compute a range for the p-value. c. At α = 0.05 , what is your conclusion? d. what is the rejection rule using the critical value? what is your conclusion?
Consider the following hypothesis statement using α=0.10 and the following data from two independent samples. Complete parts a and b below. H0: p1−p2≥0 x1=74 x2=76 H1: p1−p2<0 n1=125 n2=170 a. Calculate the appropriate test statistic and interpret the result. What is the test statistic? What is/are the critical value(s)? b. Calculate the p-value and interpret the result. What is the p-value?
Consider the following hypothesis test: H0: μ =18Ha: μ =18A sample of 48 provided a sample mean = 19 and a sample standard deviation s =4.7.a. Compute the value of the test statistic.b. Use the t distribution table to compute a range for the p-value.c. At α = .01, what is your conclusion?d. What is the rejection rule using the critical value? What is your conclusion?
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. b. what is the p-value? c. At α = 0.05, what is your conclusion? d. what is the rejection rule using the critical value? what is your conclusion?
Consider the following hypothesis test:H0: μ =16Ha: μ ≠ 16A sample of 50 provided a sample mean of 14.85. The population standard deviation is 3.5.a. Compute the value of the test statistic.b. What is the p-value?c. At α = .05, what is your conclusion?d. What is the rejection rule using the critical value? What is your conclusion?
Q1/ Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? .............................................................................................................................. Q2/ Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
Q1/Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? ........................................................................................................................ Q2 /Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
Consider the following hypothesis test: ??:? ≥ 80 ??:? < 80 A sample of 100 is used and the population standard deviation is 12. Compute the critical value and p-value and state your conclusion for each of the following sample results. Use \alpha =0.05 A) ?̅ = 78.5 B) ?̅=77
Consider the following hypotheses. H0: μ≤213 HA: μ>213 A sample is to be taken from a population with a mean of 214 and a standard deviation of 3.The hypothesis test is to be conducted using a significance level of 0.05.Determine the probability of committing a Type II error for the conditions given in parts a through c. a. n=10 b. n=30 c. n=50

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