lOMoARcPSD|16865872 STAT2112 Statistics and Probability Second Quarter Exam 4 (50) Fundamentals of Acountancy and business management (AMA Computer Learning Center) Studocu is not sponsored or endorsed by any college or university Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Home / My courses / BAED-STAT2112-2022S / Week 20: Quarterly Exam / Second Quarter Exam Question 1 Answer saved Marked out of 1.00 Suppose that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 25, σ = 5, n = 80, x̄ = 23.4 Answer: -2.86 Question 2 Answer saved Marked out of 1.00 Identify the following formula: z α ∙σ 2 p^ ∙ (1 − p^) ∙ ( E ) 2 Select one: a. Confidence Coefficient b. Standard Deviation c. Sample Size d. Confidence Interval Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 3 Answer saved Marked out of 1.00 King Lo Electronics claims that the new brand of computer will last for 25,000 hours. A research company conducted a test on the information. The company randomly select and test 100 cellular phone. The data from the sample shows that the mean life of the cellular phone is 20,000 hours, with a standard deviation of 1000 hours. Determine the 95% confidence interval of the mean life of the cellular phone. Select one: a. (26,928, 27,375) b. (23,467, 24,639) c. (17,482, 18,649) d. (19,804, 20,196) Clear my choice Question 4 Answer saved Marked out of 1.00 Given the sample size (n=200) and sample proportion (p=0.70), find the approximate margin of error for the 90% confidence interval: Select one: a. 0.085 b. 0.039 c. 0.053 d. 0.072 Clear my choice Question 5 Answer saved Marked out of 1.00 Point estimate is Select one: a. Equal to the population mean b. Always equal to the number or samples c. A statistical that estimates a population parameter d. A range of possible values for a population parameter. Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 6 Answer saved Marked out of 1.00 Given the formula in determining the minimum sample size needed when estimating the population proportion and if no approximation is known, what value of p̂ will be used? Select one: a. 2 b. 1 c. 0.5 d. 0 Clear my choice Question 7 Answer saved Marked out of 1.00 In a ____________, high values in one variable correspond to high values in the other variable. Select one: a. Scattered Correlation b. Perfect Correlation c. Positive Correlation d. Negative Correlation Clear my choice Question 8 Answer saved Marked out of 1.00 The variable that causes an effect Select one: a. Correlation variable b. Response variable c. Trend variable d. Explanatory variable Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 9 Answer saved Marked out of 1.00 Given the data below, what is the direction of the association between the two variables. Select one: a. Positive linear association b. Strong linear association c. Negative linear association d. Weak linear association e. None of the choices Clear my choice Question 10 Answer saved Marked out of 1.00 It is also called independent variable Select one: a. Explanatory variable b. Response variable c. Trend variable d. Correlation variable Clear my choice Question 11 Answer saved Marked out of 1.00 A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher. At the 5% level of significance, test the contractor/engineer’s claim. Based on the test, what can you conclude? Select one: a. Accept the null hypothesis b. Reject the null hypothesis Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 12 Answer saved Marked out of 1.00 Given the equation y = 8x+ 14, what is the slope? Answer: 8 Question 13 Answer saved Marked out of 1.00 Given the sample size (n=400) and sample proportion (p=0.70), find the approximate margin of error for the 99% confidence interval: Select one: a. 0.039 b. 0.330 c. 0.086 d. 0.059 Clear my choice Question 14 Answer saved Marked out of 1.00 The equation y=mx + b is also known as Select one: a. correlation intercept form b. y intercept c. slope intercept form d. xy intercept form Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 15 Answer saved Marked out of 1.00 A survey of 200 people finds that they work on average of 8 hours a day. If the margin of error at 98% confidence level is 1.2 hours. How do you compute for the lower confidence interval? Select one: a. 8 hours less 1.2 hours multiplied by the z score at 98% confidence level b. None of the choices c. 8 hours less 1.2 hours d. Z score plus less the square root of 8 hours less 1.2 hours Clear my choice Question 16 Answer saved Marked out of 1.00 Supposed that the z is the test statistics for hypothesis testing, calculate the value of the z for each of the following. Express your answer in 2 decimal places. µ = 31.2, σ = 3, n = 66, x̄ = 32 Answer: 2.17 Question 17 Answer saved Marked out of 1.00 Given the table below, what is the slope? Select one: a. 2 b. 1 c. 8 d. 7 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 18 Answer saved Marked out of 1.00 What is the null hypothesis to the claim that people like android phone than IOS? State the null hypothesis. Select one: a. More people like IOS phone than android phone b. Less people like IOS than android c. Less people like android and IOS phone d. More people like android than IOS phone Clear my choice Question 19 Answer saved Marked out of 1.00 Expenditure is an example of a Select one: a. Correlation variable b. Trend variable c. Response variable d. Explanatory variable Clear my choice Question 20 Answer saved Marked out of 1.00 Given α=0.05 and the test statistics, decide whether the null hypothesis is to be rejected or accepted: 1.0 Select one: a. Do not Reject b. Cannot be determined c. Reject Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 21 Answer saved Marked out of 1.00 A survey was conducted to 200 Grade 6 students who uses the internet in research instead of the school library. Based on the survey, 160 students responded Yes. What is the population proportion to students who uses the library in their research? Select one: a. Insufficient information to compute the proportion. b. 30% c. 20% d. 80% Clear my choice Question 22 Answer saved Marked out of 1.00 Point estimate is Select one: a. Always equal to the number or samples b. A statistical that estimates a population parameter c. Equal to the population mean d. A range of possible values for a population parameter. Clear my choice Question 23 Answer saved Marked out of 1.00 Given the sample size (n=250) and sample proportion (p=0.40), find the approximate margin of error for the 90% confidence interval: Select one: a. 0.07 b. 0.03 c. 0.08 d. 0.05 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 24 Answer saved Marked out of 1.00 Margin of error is Select one: a. the product of confidence coefficient and standard deviation divided by the square root of the sample size b. the quotient of confidence coefficient and standard deviation multiplied by the square root of the sample size c. the quotient of confidence coefficient and square root of the sample size divided standard deviation d. the product of confidence coefficient and square root of the sample size divided by standard deviation Clear my choice Question 25 Answer saved Marked out of 1.00 About 30% of the male population living in an urban area smokes cigarette. A researcher believes that male aged 16-30 are more likely smokes cigarette than other ages in the urban area population. The researcher surveys 300 male aged 16-30 and finds that 80 of them smokes cigarette: What is the test statistic for this scenario? Select one: a. -0.998 b. -1.260 c. -3.661 d. -2.729 Clear my choice Question 26 Answer saved Marked out of 1.00 Given the sample size (n=300) and sample proportion (p=0.56), find the approximate margin of error for the 90% confidence interval: Select one: a. 0.055 b. 0.069 c. 0.039 d. 0.047 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 27 Answer saved Marked out of 1.00 The equation y=mx + b is also known as Select one: a. xy intercept form b. slope intercept form c. correlation intercept form d. y intercept Clear my choice Question 28 Answer saved Marked out of 1.00 Given n=10, x̄ =28, s=2.0, 95% confidence. Assuming that the samples come from a normal distribution, find the margin of error. Select one: a. 0.63 b. 1.24 c. 3.16 d. 26.76 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 29 Answer saved Marked out of 1.00 Given the table, determine the slope intercept equation. X 1 2 3 Y 3 5 7 Select one: a. y = x + 3 b. y = x + 2 c. y = 2x + 1 d. y = 3x - 2 Clear my choice Question 30 Answer saved Marked out of 1.00 Suppose a new cancer treatment is given to a sample of 500 patients. The treatment was successful for 300 of the patients. Assume that these patients are representative of the population of individuals who have this cancer. Calculate the sample proportion that was successfully treated. Select one: a. 0.85 b. 0.60 c. 0.72 d. 0.30 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 31 Answer saved Marked out of 1.00 Sampling distribution of proportions is randomly distributed. Select one: a. TRUE b. FALSE. Replace the word proportion with “p hat” c. FALSE. Replace the word randomly with normally. d. FALSE. Replace the word Sampling distribution with Confidence Coefficient Clear my choice Question 32 Answer saved Marked out of 1.00 What is the formula of z score? Select one: a. z= x̄−σ μ/√− n b. All of the choices c. z= (x̄−μ) σ/√− n 2 d. None of the choices e. z= x̄−μ σ/√− n Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 33 Answer saved Marked out of 1.00 Given the table below, what is the slope? Select one: a. 8 b. 9 c. 3 d. 11 Clear my choice Question 34 Answer saved Marked out of 1.00 Compute for the correlation coefficient. X Y 22 86 25 89 30 92 26 90 28 90 29 91 Select one: a. 0.911 b. 0.928 c. 0.937 d. 0.964 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 35 Answer saved Marked out of 1.00 Find the sample size given 95% confidence, Margin of Error = 0.05 and ̂p=0.15. Answer: 196 Question 36 Answer saved Marked out of 1.00 Find the sample size given 99% confidence, Margin of Error = 0.11 and ̂p = 0.35. Answer: 126 Question 37 Answer saved Marked out of 1.00 Year is an example of a Select one: a. Response variable b. Explanatory variable c. Correlation variable d. Trend variable Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 38 Answer saved Marked out of 1.00 The traffic management office claims that 65% of road accidents are related to motorcycles. In a random sample of 200 accidents, it is found that 135 of the accidents are related to motorcycles. What is the standard error of the proportion? Select one: a. 0.077 b. 0.062 c. 0.045 d. 0.034 Clear my choice Question 39 Answer saved Marked out of 1.00 Given the following data, find the upper bound of confidence interval. Your answer must be in two decimal places. Sample size = 100, Mean = 75, Standard Deviation = 20, 99% confidence Answer: 80.16 Question 40 Answer saved Marked out of 1.00 A survey of 900 people finds that they work on average of 9 hours a day. If the margin of error at 98% confidence level is 1.5 hours. What is the solution to find the lower confidence interval? Select one: a. Z score plus less the square root of 9 hours less 1.5 hours b. All of the choices c. 9 hours less 1.5 hours multiplied by the z score at 98% confidence level d. 9 hours less 1.5 hours e. None of the choices Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 41 Answer saved Marked out of 1.00 Find the sample size given 90% confidence, Margin of Error = 0.15 and ̂p =0.25. Select one: a. 23 b. 22 c. 21 d. 20 Clear my choice Question 42 Answer saved Marked out of 1.00 A private organization telephone poll of 900 adults, aged 18 and older, living in the country found that 75% of citizen feel confident in the accuracy of their doctor's advice, and don't feel the need to check for a second opinion or do additional research. The margin of error for this survey was given as ±10 percentage points. Find a 90% upper confidence interval estimate of the percent of adults who feel confident in the accuracy of their doctor’s advice and don’t feel the need to check for a second opinion. Select one: a. 0.329 b. 0.290 c. 0.077 d. 0.834 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 43 Answer saved Marked out of 1.00 What is the formula in determining the minimum sample size needed in estimating the population mean? Select one: α∙ n = (z E σ) b. n = ( σz αE ) a. 2 ∙ 2 2 2 z α ∙E 2 n=( σ ) d. n = z α2 2 ( Eσ ) c. 2 Clear my choice Question 44 Answer saved Marked out of 1.00 A building contractor/engineer is increasing his price for building projects, claiming that the cost of labor and material is going up and accounts for 65% of his budget. In a random sample of 30 of his projects it is found that in 20 of the projects the cost of the material is higher. What is the observed value of the sample proportion? Select one: a. 0.667 b. 0.921 c. 0.739 d. 0.429 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 45 Answer saved Marked out of 1.00 Three characteristics of a bivariate are Select one: a. X axes, Y axes & points b. Points, line, XY axes c. Dependent, independent & response variables d. Shape, direction and strength Clear my choice Question 46 Answer saved Marked out of 1.00 Given the equation 3y = 21x + 9, what is the slope? Answer: 7 Question 47 Answer saved Marked out of 1.00 This separates the rejection region to the region where we do not reject the null hypothesis. Select one: a. Z score b. chi value c. Null value d. Critical value Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 48 Answer saved Marked out of 1.00 Given the table below, what is the linear equation? Select one: a. y=7x + 1 b. y=2x + 7 c. y=7x + 5 d. y=5x + 2 Clear my choice Question 49 Answer saved Marked out of 1.00 A Police Sub Station claims that 45% of crimes are related to cell phone snatching. In a random sample of 150 accidents, it is found that 60 of the accidents are related to cell phone snatching. What is the test statistic for this scenario? Select one: a. 2.112 b. -1.231 c. 1.992 d. -0.066 Clear my choice Downloaded by Net net (nethaniichan@gmail.com) lOMoARcPSD|16865872 Question 50 Answer saved Marked out of 1.00 Point estimate is Select one: a. A statistical that estimates a population parameter b. A range of possible values for a population parameter. c. Equal to the population mean d. Always equal to the number or samples Clear my choice ◄ Q2 Written Work 2 Jump to... Downloaded by Net net (nethaniichan@gmail.com)