Copy of A Instructor wants to know if his Basic statistics class has a good grasp of Introduction to statistics. Six candidate are chosen at random from the pool of students and given a basic statisitcs MCQs test. The Instructor wants the students to be able to score above 70 on the test. The students scores are 62, 92, 75, 68, 83, and 95. Can the Teacher have 90 percent confidence that the mean score for the class on the test would be above 70? Whats is the t-value ? 1.5 points QUESTION 2 Two different metals are being considered for making imitation jewelry. A crucial characteristic of jewelry is its melting shine, which is known to follow a Normal distribution. A study was conducted using a random sample of 21 pieces of jewelry made from each of the two metal. In each sample, the temperature at which each of the 21 pieces melted was determined. The mean and standard deviation of the sample for metal 1 were x1 = 218.9C and s1 = 2.7C; for metal 2 the results were x2 = 215.5C and s2 = 3.6C. If we were to test H0: 1 = 2 against Ha: 1 2 , what would be the value of the test statistic?? 2.5 points QUESTION 3 The table below shows the income for an employee over his first 8 years of work. Use this to estimate his income for his 14th year of work. Years 2 4 5 7 8 9 11 13 Income 45000 46,814 48,212 52,870 54,125 58,532 61,075 62,785 3 points QUESTION 4 A total of 395 people were polled, with each participant being asked to report their highest degree of schooling. The information gathered during the survey is summarized in the table below: High School Bachelors Masters Ph.d. Total Female 60 54 46 41 201 Male 40 44 53 57 194 Total 100 98 99 98 395 Are gender and education level dependent at 5% level of significance? To put it another way, is there a link between an individual's gender and their level of education, based on the information gathered so far? 2 points QUESTION 5 The mean of an unknown distribution is 90, and the standard deviation is 15. A random sample of 80 people is chosen at random from the population. Find the sum that is 1.2 standard deviations above the mean of the sums. 1.5 points QUESTION 6 Azeem has recently started a new job as a member of a highly competitive sales team. He closed the transaction for an average value of 108 dollars with a standard deviation of 12 dollars in a sample of 16 sales calls. Test the hypothesis that the population mean is at least $100 against the alternative that it is less than $100 at a 5% level of significance. what would be the value of test statisitcs ? 1.5 points QUESTION 7 The average time it takes a group of individuals to play one soccer match is 2 hours, with a standard deviation of 0.5 hours. A sample of n = 50 people is chosen at random from the population. Calculate the probability that the sample mean is between 1.8 and 2.3 hours. 1 points QUESTION 8 The average amount of time a tablet user spends using an app is 8.2 minutes. Consider a one-minute standard deviation. Take a random sample of 60 people. What is the standard error of the mean? 1 points QUESTION 9 A study was conducted on domestic violence against women in rural areas, as well as the symptoms of post-traumatic stress disorder that they experienced. The women ranged in age from 14 to 61. The average age was 30.9 years, with a nine-year standard deviation. What is the likelihood that the total of the ages of 49 women is no less than 1,600? 1 points Click Save and Submit to save and submit. Click Save Al