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- Three university administer the same comprehensive examination to the receipients of MS degree in Business Statistics. From each institution, a random sample of MS receipients was selected, and these receipients were then given to the exam. The following tabel shows the scores of each student from the three universities Uni A Uni B Uni C 89. 60. 81 95. 95. 70 75 89 90 92 80 78 99 66 77 At a= 0.01 , test to see if there is a significant difference in the average scores of students from the three universities Answer needed ASAP.The ages (years) of three government officials when they died in office were 54, 45, and 61. Assuming that 2 of the ages are randomly selected with replacement, list the different possible samples.MAKE SURE YOU SELECT 2 ANSWERS FOR THIS QUESTION - Type of test and hypothesis. Professor Diff E. Cult wonders if male and female students earn significantly different grades when taking the same course with the same instructor. He randomly samples 160 males and 100 females from selected classes. The males receive 20 As, 32 Bs, 70 Cs, 30 Ds, and 8 Fs. The females receive 20 As, 28 Bs, 30 Cs, 10 Ds, and 12 Fs. His hypothesis is that gender and grades are related. Choose the type of test you should use to test this hypothesis? Then choose the correct hypotheses in symbol notation (or words if symbol is not appropriate). O z-test single sample t-test dependent t-test O independent t-test Pearson correlation t-test ANOVA O Chi-Square Goodness of Fit Test Chi-Square Test of Independence O Ho: H1 - P2 = 0 H1: P1 - P2 # 0 O Ho: µ1 - P2 < 0
- There are 3 students that make up the total population of Summer Calculus students at ACM. Their grades on the first test were 80, 55, 57. a) What is the mean of this population? b) What is the variance of this population? c) What is the standard deviation of this population?A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 x= 5.75 x = 8.25 x = 7.00 Afternoon 3, 5, 6, 5 9, 10, 6, 8 Row 2 x= 4.75 x = 8.25 x = 6.50 Evening 5, 5, 7,5 9, 10, 10, 9 Row 3 x= 5.50 x = 9.50 x =7.50 Column means Column 1 x = 5.33 Column 2 x = 8.67 Total x =7.00 For the two measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: a. there is no difference in population mean satisfaction depending on time of contact, b. there is no difference in population mean satisfaction depending on type of customer contact and c. there is no interaction between type of contact and time of contact.Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal 20 hours could arise if the true mean of the lot
- * Let X is a Gaussian random variable with zero mean an variance o. Y = X. Find mean of Random Variable Y.Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64. Assume that the grades are independent of each other. What proportion of the class will get a grade of at least 80? 0,5656 0.0401 0.5871 0.9599 0.4129An exponential random variable X has a true mean value of 5. Suppose we observe n =17 independent realizations of this random variable, x1, x2,..., n. What is the variance of the sample mean?
- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:200 poodles 61 are left-paued left -pawed. a random sample of In a random sample ef 220 labradores 38 are Can we conclude that the difference in The tuo sample proportions of left pawed dogs is statistically significont for x= 0.05 ?Suppose that we have disjoint normal populations A and B with equal but unknown population variances. Suppose we plan a sample of size 12 from from population A and a sample of size 6 from population B which we will pool to form the pooled variance. If the sample variance for the sample from population A is 25 and the sample variance for the sample from population B is 36, then what is the pooled sample variance?