Answer question number 3. Assessment – Hypothesis TestingDIRECTION: For each of the given problems, conduct a hypothesis test (assume that theunderlying population is normally distributed).1. ATMS must be stocked with enough cash to satisfy customers making withdrawals over an entireweekend. But if too much cash is unnecessarily kept in the ATMS, the bank is forgoing the opportunityof investing the money and earning interest. Suppose that at a particular branch, the population meanamount of money withdrawn from ATMS per customer transaction over the weekend is Php8,000, witha population standard deviation of Php1,500. a. Ifa random sample of 36 customer transactions indicatesthat the sample mean withdrawal amount is Php8,600, is there evidence to believe that the populationmean withdrawal amount is no longer Php8,000? (Use a 0.05 level of significance.)2. A research done by a graduating student reports that the average score of University students in statisticscourse is less than 80. To test this claim, a random sample of 10 students was taken and their scores inthe course are recorded as: 65, 70, 80, 85, 60, 90, 80, 75, 85, 90. At 0.05 level of significance, test thevalidity of this claim.3. A research study was conducted to compare two methods of teaching statistics in graduate school. Onemethod, called the traditional method, presented the course without the use of statistical software. Theother method, referred to as experimental method, taught the course and utilized statistical softwareextensively. The scores made on a common comprehensive final exam by the students in both classesare shown in the table below.86 7789 90 85Traditional8285 82738273797186909881Experimental 78 83 96 898368 8483768377At 5% significance level, determine whether there is a sufficient statistical evidence to indicate that theexperimental method is more effective than the traditional method.

Given: n1 = 14 n2 = 14 Significance level α = 0.05 Formula Used: Test-statistic t = X1-X2S1n1+1n2…

3. A research study was conducted to compare two methods of teaching statistics in graduate school. One method, called the traditional method, presented the course without the use of statistical software. The other method, referred to as experimental method, taught the course and utilized statistical software extensively. The scores made on a common comprehensive final exam by the students in both classes are shown in the table below. 82 85 82 73 82 73 79 | Traditional Experimental | 78 | 83 | 96 89 | 83 | 68 | 84 71 86 90 98 | 86 77 81 83 76 83 89 | 90 85 | 77 At 5% significance level, determine whether there is a sufficient statistical evidence to indicate that the experimental method is more effective than the traditional method.