MULTIPLE CHOICE Direction: Read and analyze each of the questionslsitnaons given. Shade only the circle(s) of the correct answer in the answer sheet. 1. 3. It is a function that associates a numerical value with every outcome of an experiment. a. random variable c. exponential function b. quadratic function d. variable A fair coin was tossed three times. Let X be the number of heads that occur. What is POD-1}? a 18 b. 38 c. 34 d. 12 What portion of the area of a normal distribution is within one standard deviation? Express your answer as a percentage, such as 10%. 4-5. What are the mean and standard deviation of a standard normal distribution? 4. 5. 6. 10. 11. 12. 13. p = a. 1 b. 0 c. 31 d. e o = a. 1 b. 0 c. It d. e When the number of samples is large, . a. the histogram will be very close to the theoretical sampling distribution b. the sample will be standardized c. the histogram will be normal d. the sampling distribution will be continuous A machine is programmed to make tin cans with a diameter of 0:52.26 mm. However, the cans produced do not have a consistent diameter, resulting in a standard deviation of o=0.03 mm. A sample of 50 tin cans is inspected every hour as part of process control, and the mean diameter of each sample is recorded. What will be the standard deviation of the recorded means? a. 0.42 b. 0.042 c. 0.0042 d. 0.00042 A researcher wants to take random samples of size 40 of a certain population with a mean of 23.5 and a variance of 18.49. What is the approximate standard deviation of sample means? a. 0.68 b. 5.47 c. 3.72 d. 4.3 The average weight of chickens being sold by Quipper poultry farm is 1.26 kg with a standard deviation of 0.4 kg. It 100 chickens for sale are randomly selected, what is the probability that the average weight of the chickens is between 1.16 kg and 1.35 kg? a. 95.16% b. 96.73% c. 98.16% d. 99.94% You work for a consumer advocate agency and you need to nd the average cost of rep airing a washing machine. As part of your study, you randomly select 40 repair costs and nd the mean to be P1000. The sample standard deviation is P170.50. What is the 95% condence interval estimate for the population? a. (947.16, 1052.84) c. (974.38, 1025.29) b. (947.61, 1052.44] d. (974.83, 1205.92) Suppose the area to the left of the t-score 2.650 is 0.010. What does this statement mean? a. 1% of the distribution is between 2.650 and 0. b. 1% 0f the distribution is between 2.650 and 2.650. c. 1% 0f the distribution falls to the right of 2.650. d. 1% 0f the distribution falls to the left of 2.650. What is the margin of error in a condence interval estimate for a population proportion if p"=0.2 and n=200 in a 95% condence interval? a. 0.045 b. 0.055 c. 0.065 d. 0.075 An administrator of a large school wants to determine the mean IQ of all the students in the school whose population standard deviation is 3.41 IQ points. He wants tobe 98% condent that the estimate is accurate within 3 IQ points. What is the level of precision in the given problem? a. 3.41 IQ points c. i3 IQ points b. 98% d. IQ 14. The average weight of whole chickens sold at the local market is 1.26 kg. A random sample of 40 chickens shows that the mean weight is 1.34 kg. What is the alternative hypothesis in the problem? a. u=1.26 b. 1121.26 c. \"$1.26 d. \"(1.26 15. The following are the hypotheses in a certain hypothesis testing procedure. H0: The mean height of the students is equal to 45 inches. HA: The mean height of the students is not equal to 45 inches. If the zvalue in the test is 0.38 and the critical values are t1.645, what is the appropriate interpretation? a. The mean height of the students is equal to 45 inches. b. The mean height of the students is not equal to 45 inches. c. The mean height of the students is less than 45 inches. d. Not enough information is given. 16. According to a research, only 2% of Filipinos know how to invest in a stock market. A nancial expert wants to test this claim and so he sampled 15o Filipinos to ask them if they know how to invest in a stock market. Out of the 150, six knows how to invest in a stock market. What will be the rejection region for the hypothesis testing if the level of signicance is 0.01? a. z2.575 c. z1.96 d. z>1.28 1'7. It is believed that at least 40% of the residents in a certain area is in favor of abolishing the death penalty. Out of the 500 residents surveyed, 210 are in favor of the issue. What is the value of the test statistic? Round your answer to the nearest hundredths. 18 . \"Thich of the following kinds of correlation best describe the scatter plot below? 35. an o. _ . .- 25 . .. . an i.- . .- 15 ' . ' 10 ' - 1- 5 - I " . . _. o u 2 4 a a 10 12 a. perfect positive correlation c. perfect negative correlation b. moderate negative correlation d. moderate positive correlation 19. The correlation of the following pairs of variables can be calculated using the Pearson's sample correlation coefcient except for one. Which of the following is not included? a. age and gender c. height and arm span b. age and weight d. IQ level and grade-point average 20. Two treatments were experimented on patients aficted with a certain disease. A random sample of 200 patients were taken and the results are shown in the table below. Recovered Did not recover What is the value of the chi-square statistic? Round your answer to the nearest hundredths. 21. How will you interpret the slope value of the regression equation Y=3.545X+212.910? a. If X increases by 1, Y will increase by 3.545 units. b. If X increases by 1, Y will decrease by 3.545 units. c. If X decreases by 1, Y will increase by 3.545 units. d. If X decreases by 1, Y will decrease by 3.545 units. 22. What portion of the area of the normal curve of N(50, 10) lies within the interval (30, 50)? a. less than 68% c. more than 68% b. about 68% d. not enough information given 23. 24. 25. 26. 27. 28. 29. 30. A recent survey of 450 college students reported that the average weekly income for students is ?300. This describes a statistic. Why? a. because the average ?300 is based on a sample b. because the average ?300 is based on the population c. because there are more than 450 college students d. because the population is unknown What happens to the shape of the sampling distribution of the sample mean when the sample size increases? a. It attens. b. It becomes narrower. c. It more closely resembles a parabola. d. It more closely resembles a bell-shaped curve. The mean systolic blood pressure of normal adults is 12:.) millimeters of mercury (120 mm Hg) with a standard deviation of 4.3 mm Hg. If a sample of 50 adults is selected, nd the probability that the sample mean is between 119.3 mm Hg and 121.8 mm Hg. Assume that the variable is normally distributed. a. 15.15% b. 65.88% c. 84.45% d. 99.60% A certain report said that 6% of Filipino college graduates are experiencing career mismatch. If 500 Filipino college graduates are randomly sampled, what is the probability that more than 20 of them are experiencing career mismatch? a. 94.88% b. 95.67% c. 96.99% d. 97.77% The condence coefcient of a good condence interval is close to Write your answer in digits. A researcher claims that 10% of ofoe employees aged 2630 are dissatised with their salary, with a sampling error of $596. What is the level of precision in the given problem? a. 10% b. 26 c. i596 d. 2630 A nutritionist wants to estimate the mean amount of junk food that is consumed by teenagers aged 11 to 14 years in a week. From a random sample of 50 teenagers, the mean amount of junk food consumption per week is 250 g. \"That is the parameter in the problem? a. random sample of 50 teenagers b. ages of 11 to 14 years c. mean amount of junk food consumption per week d. mean amount of junk food consumption of teenagers aged 11 to 14 years According to research, the daily mean of the travel time of passengers riding a bus between consecutive stops is 25 minutes. A sample of 40 days showed that the mean travel time is 27 minutes. \"That statistical test can be used to nd the rejection region for the test? a. ttest b. z-test c. F-test d. S-test