GRADE 11 - STAT AND PROB
9:02 ~ & 4G AS_STAT-11_Q4_WK3-4.... Activity 1: Reject It! Directions: Find the critical value and draw the rejection region for each hypothesis test based on the information given. 1. Ho: p = 150 a = 0.05 o =known Ha: J 2.5 n = 15 3. Ho: J = 90.7 a = 0.05 =unknown Ha: J # 90.7 n = 24 4. Ho: J = 90.7 a = 0.01 o =known Ha: J # 90.7 n = 54 5. Ho: H = 80 a = 0.01 =unknown Ha: J 105.10 The population follows a normal distribution with standard deviation of 5.25, sample mean of 109 and sample size of 13. Use a = 0.05. 2. Ho: H = 180 Ha: H # 180 The population is approximately normal. The sample mean is 186.50, the sample standard deviation is 14.5, and the sample size is 22. Use a = 0.01. 3. Ho: u = 65 Ha: H 7.9 The sample mean is 8.5 and the sample size is 52. The population follows a normal distribution with standard deviation 4.20. Use a = 0.01.9:02 ~ 4G AS_STAT-11_Q4_WK3-4.... 0 ... Activity 2.2: Am I Rejected or Accepted? Directions: Decide whether reject or accept the null hypothesis based on the given information. Write R before the number if rejected or A if accepted. (Note: Use the table for the z- and the t-critical values.) 1. The level of significance is 1% with z-computed value of 2.980 using two- tailed test. 2. A one-tailed test with 5% level of significance has t-computed value of 1.175 with sample size of 20. 3. The z-computed value is 2.659 with 0.05 level of significance of a one-tailed test. 4. The z-computed value of a two-tailed test is -1.875 with 0.05 level of significance. 5. The t-computed value is -1.865 with 0.01 level of significance of a one-tailed test with 10 samples. 6. The 0.05 level of significance is with t-computed value of 1.080 using two- tailed test with 15 samples. 7. The sample size is 21. The t-computed value of a one-tailed test is 2.214 with 5% level of significance. 8. The level of significance is 5% with t-value of 1.118 using two-tailed test and n = 28. 9. The z-computed value is -2.7 with 0.01 level of significance of a two-tailed test. 10. A two-tailed test with 1% level of significance has t-computed value of 1.045 with sample size of 19.9:0299' ' nlli AS_STAT1 1_Q4_Wk3-4.... / OI. Activity 3: Follow tile! Let's Solve! Directions: Follow the steps in testing hypothesis to solve the following problems. 1. The mean time costumer waits in line before checking in a grocer}:r chain is less than 15 minutes. To verify the performance of the store. the obtaining mean time of 25 costumers is 13.5 minutes with standard deviation of 1.95 minutes. Use these data to test the null hypothesis that the mean time is 15 minutes. at {105 level of significance. 2. A fast food restaurant cashier claimed that the average amount spent by the customers for dinner is Php 145.00. Over a month period. a sands of 55 customers was selected and it was found that the average arrtount spent for dinner was Php 155330. Using EH31 level of significance. can it be concluded that the average amount spent by customers is more than Php 145.00? Assume that the population standard deviation is Php EDD. 3. A researcher claim that the average price of kilogram of pork Iiempo is more than Php 25am. However. a sample of 21) prices randomly collected from different markets showed an average of Php canoe and standard deviation of Php TDD. Using H.015 level of significance. is there sufficient evidence to conclude that the average price of pork Iiempo is more than Php 25cm
