ng Time 1 hour, 43 minutes, 36 and Question Cample State Question 4 A factory buys material from two suppliers. All the materials are made into products by the same workers using the same machines. An engineer thinks there is a difference in the defects in products made from raw materials from different suppliers and collects the following information. Question 4 of 10 4 points Save An defective products satisfactory products Supplier 1 62 54 Source of Raw Materials Supplier 2 50 71 We want to test at the 5% level of significance that the discrepancies are not related to chance? c A Calculate the test statistic (round to 2 decimals) Find the critical value What is your conclusion? Answer: Since the test statistic is (greater/less) than the critical value, we (dol don't) have enough evidence to conclude those discrepancies are not related to chance Question 3 A robot will be assigned for a particular task if it can be shown that the number of technical mistakes it has made is different from 9%. In a random sample of 215 tasks, it has made 20 technical mistakes. Using 5% significance level a The test statistic is (round to two decimal places) b The critical value (round to two decimal places) c. Since the test statistic value is (less, more, different) the null hypothesis. than the critical value, (rejec do not reject) d. Compute a 95% two-sided confidence interval for the proportion of the technical mistakes (round to three decimal places). ( Moving to another question will save this response Question 3 Close We Question 3 3 points A robot will be assigned for a particular task if it can be shown that the number of technical mistakes it has made is different from 9%. In a random sample of 215 tasks, it has made 20 technical mistakes. Using 5% significance level a The test statistic is (round to two decimal places) b. The critical value (round to two decimal places) c. Since the test statistic value is (less, more, different) the null hypothesis. than the critical value, (rejec/do not reject) d. Compute a 95% two-sided confidence interval for the proportion of the technical mistakes (round to three decimal places). ( Question 8 3 points See Answer Medical researchers have developed a new artificial heart constructed primarily of titanium and plastic. The heart will last and operate almost indefinitely once it is implanted in the patient's body, but the battery pack needs to be recharged about every 10 hours. A random sample of 35 battery packs is selected and subjected to a life test. The average life of these batteries is 9 with standard deviation equals to 0.5 hours Assume that battery life is normally distributed. Use alpha =0 05 to determine whether the average life time of the batteries is equal to 10 hours or not. Answering the following questions a) Hois b) HI c) the test statistics is d) the critical value is e) we (reject/ do not reject) Write the letter of the correct answer: (a: u not equal to 10, b: 10, c: -10, d: 10) Write the letter of the correct answer: (a: u not equal to 10, bu>10, cuc10, d: u=10) Round to 3 decimals. Round to 3 decimals. the Ho, so there is (enough/not enough) evidence to conclude average afe time is not equal to 5 hours. Question 7 The brightness of a television picture tube can be evaluated by measuring the amount of current required to achieve a particular brightness level. A sample of 15 tubes results in a mean current of 300 and a standard deviation of 15 (microamps). Assume that the amount of current is normally distributed. Find a 99% confidence interval of the mean current of all tubes (round to 3 decimals). ( Moving to another question will save this response. Question 6 The numbers of patients entering a hospital building by each of the three entrances are observed. The resulting sample of three entrances is as follows: Entrance 1 2 3 No. of People 50 45 25 At 1% We wish to test if all four entrances are used equally. Calculate the test statistic (round to 2 decimal) b. Find the critical value c. What is your conclusion? 2 points See Are than the critical value, we (dol don't) have enough evidence Answer: Since the test statistic is (greater/less) to conclude that all three entrances are used unequally