Math 3339 UH final Fall 2023, Exams of Mathematics

Download Math 3339 UH final Fall 2023 and more Exams Mathematics in PDF only on Docsity! PRINTABLE VERSION Final You scored 45 out of 45 Question 1 Your answer is CORRECT. Given a dataset of all positive values, if the largest value of a dataset is doubled, which of the following is not true? a) The variance increases b) The range increases c) The standard deviation increases d) The mean increases e) The interquartile range increases Question 2 Your answer is CORRECT. Given that , find . a) 0.761 b) 0.124 c) 0.876 d) 0.239 e) 0.407 Question 3 Your answer is CORRECT. A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three complaints each hour. Assume the number of complaints follows the Poisson distribution. Determine the probability that exactly four complaints will be received during the next eight hours. a) 0.524 ( ) = 0.27, ( ) = 0.46,  and  ( ∩ ) = 0.11 ( ) Q3-Q IAB=PAB i = 0 . 239 0 .6x8 = 4 . 8 b) 0.182 c) 0.476 d) 0.003 e) 1.000 Question 4 Your answer is CORRECT. The following table displays the results of a sample of 100 in which the subjects indicated their favorite ice cream of three listed. The data are organized by favorite ice cream and age group. What is the probability that a person chosen at random will be under 20 years old if he or she favors chocolate?   Age     Chocolate     Vanilla     Strawberry     Over 40     12     8     10     20-40     13     9     13     Under 20     13     19     3   a) b) c) d) e) Question 5 Your answer is CORRECT. Suppose that in a large metropolitan area, 89% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of households in a group of six households from this area that have cable tv. For what proportion of groups will at most two of the households have cable tv? a) 0.979 b) 0.998 87 100 25 38 13 38 13 30 13 100 Determine the p-value for the data. a) 0.0162 b) 0.1356 c) 0.4652 d) 0.2712 e) 0.0904 Question 11 Your answer is CORRECT. A random sample of 144 cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown that the distribution of the contents has a mean of 12.25 ounces and a standard deviation of 2.14 ounce. What is the probability that the average contents of the 144 sample cans is less than 12.01 ounces? a) 0.223 b) 0.178 c) 0.822 d) 0.911 e) 0.089 Question 12 Your answer is CORRECT. If the P-value is larger than the level of significance α, then the researcher should __________ at level α. a) Fail to reject H0 b) Reject H0 c) Accept H0 Question 13 Your answer is CORRECT. For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain at some point both of the next two days, what is the probability that the first drop of rain will be felt between AM and PM on both days?8 : 45 2 : 25 a) 0.0557 b) 0.2361 c) 0.9416 d) 0.2417 e) 0.0584 f) None of the above. Question 14 Your answer is CORRECT. The one-sample t statistic for a test of H0: μ = 15 vs. Ha: μ < 15 based on n = 15 observations has the test statistic value of t = −1.36. What is the p-value for this test? a) 0.902 b) 0.098 c) 0.398 d) 0.000 e) 0.195 Question 15 Your answer is CORRECT. A student is taking their Statistics final exam. For a particlar problem there are three versions. All versions ask for a value of so that , where varies depending on the problem version. Assume that follows the following distrubution: Find . a) b) c) d) ( ≤ ) = ( = 0.67) = , ( = 0.61) = , ( = 0.67) = 1 8 1 4 5 8 [ ] 0.821 0.552 0.768 0.827 8:45 - 2:25 &t pop no z (ai + 5 . 667) Pt( - 1 .36, 14) quorm (0 . 67) ·t + qnorm (0 -61)I +anorm 10 .67) ·E e) f) Cannot be determined. Question 16 Your answer is CORRECT. This is a written question, worth 11 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1611 A person's muscle mass is expected to decrease with age. To explore this relationship in women, a nutritionist randomly selected 60 women aging from age 40 to 79 and measured their muscle mass. Using age as the explanatory variable and the muscle mass as the dependent variable, computer output of the data is as follows (the p-values are intentionally left blank): Predictor     Coef     StDev     T     P   Constant     113.052     9.170     12.329     ---   Age     − 0.428     0.137     − 3.124     ---   Part a: What is the regression equation? Part b: Calculate the 99% confidence interval of the slope of the regression line. Part c: Use the information provided to test whether there is a significant relationship between a person's age and muscle mass at the 5% level. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 17 Your answer is CORRECT. This is a written question, worth 11 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. 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