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##### 19 MCQ Statistics and Probability

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Question;Question 2 of 201.0 PointsResults from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.Compute the z or t value of the sample test statistic.A.z = 1.96 B.t = 1.645 C.z = 0.69 D.z = 0.62 Reset SelectionQuestion 3 of 201.0 PointsResults from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.What is your conclusion?A.More seniors are going to college B.Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than.79. C.Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than.79. D.Cannot determine Reset SelectionQuestion 4 of 201.0 PointsResults from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.State the null and alternative hypotheses.A.H0: m =.79, H1: m >.79 B.H0: p?.79, H1: p >.79 C.H0: ^P =.79, H1: ^P >.79D.H0: p =.79, H1: p?.79 Reset SelectionQuestion 5 of 201.0 PointsA two-tailed test is one where:A.negative sample means lead to rejection of the null hypothesis B.results in either of two directions can lead to rejection of the null hypothesis C.no results lead to the rejection of the null hypothesis D.results in only one direction can lead to rejection of the null hypothesis Reset SelectionQuestion 6 of 201.0 PointsThe ?Pizza Hot? manager commits a Type I error if he/she isA.staying with old style when new style is no better than old style B.switching to new style when it is no better than old style C.switching to new style when it is better than old style D.staying with old style when new style is better Reset SelectionQuestion 7 of 201.0 PointsThe hypothesis that an analyst is trying to prove is called the:A.elective hypothesis B.quality of the researcher C.level of significance D.alternative hypothesis Reset SelectionQuestion 8 of 201.0 PointsA lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician?s accuracy is within the target accuracy?Compute the value of the appropriate test statistic.A. X^2 = 27.50 B. X^2 = 30.58 C.t = 27.50 D.z = 1.65 Reset SelectionQuestion 9 of 201.0 PointsYou conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n = 25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you observe the same sample mean and standard deviation for a sample size larger than 25?A.The p ? value may increase or decrease B.The p ? value decreases C.The p ? value increases D.The p ? value stays the same Reset SelectionQuestion 10 of 201.0 PointsA type I error occurs when the:A.sample mean differs from the population mean B.null hypothesis is incorrectly rejected when it is true C.null hypothesis is incorrectly accepted when it is false D.test is biased Reset SelectionQuestion 11 of 201.0 PointsIf a teacher is trying to prove that a new method of teaching economics is more effective than a traditional one, he/she will conduct a:A.one-tailed test B.point estimate of the population parameter C.confidence interval D.two-tailed test Reset SelectionPart 2 of 3 -Question 12 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The ABC battery company claims that their batteries last at least 100 hours, on average. Your experience with their batteries has been somewhat different, so you decide to conduct a test to see if the company's claim is true. You believe that the mean life is actually less than the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below.Test of H0: p 100 versus H1: p 100 (p= mu the symbol for average population)Sample mean 98.5Std error of mean 0.777Assuming the life length of batteries is normally distributed, if you wish to conduct this test using a.05 level of significance, what is the critical value that you should use? Place your answer, rounded to 3 decimal places in the blank. For example, -1.234 would be a legitimate entry.Question 13 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with sigma = 2.8%. A random sample of 16 Australian bank stocks has a sample mean dividend yield of 8.91%. For the entire Australian stock market, the mean dividend yield is mu(p) = 6.4%. If you wanted to test, at a.05 level of significance, to determine if these data indicate that the dividend yield of all Australian bank stocks is higher than 6.4% what is the critical value that you would use? Place your answer, rounded to 2 decimal places, in the blank. For example, 2.345 would be a legitimate entry.Question 14 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization?s staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to testH0: p >=.45 vs H1: p =.45 vs H1: p <.45.In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.Compute the test value that you would use in conducting this test. Place your answer, rounded to 3 decimal places, in the blank. For example, -2.345 would be a legitimate entry.Question 17 of 201.0 PointsAccepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.A firm that produces light bulbs claims that their lightbulbs last 1500 hours, on average. You wonder if the average might differ from the 1500 hours that the firm claims. To explore this possibility you take a random sample of n = 25 light bulbs purchased from this firm and record the lifetime (in hours) of each bulb. You then conduct an appopriate test of hypothesis. Some of the information related to the hypothesis test is presented below.Test of H0: = 1500 versus H1: 1500Sample mean 1509.5Std error of mean 4.854Assuming the life length of this type of lightbulb is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.234 would be a legitimate entry.Part 3 of 3 -Question 18 of 201.0 PointsIn order to determine the p-value, it is unnecessary to know the level of significance.TrueFalseReset SelectionQuestion 19 of 201.0 PointsUsing the confidence interval when conducting a two-tailed test for the population proportion p, we reject the null hypothesis if the hypothesized value for p falls inside the confidence interval.TrueFalseReset SelectionQuestion 20 of 201.0 PointsA one-tailed alternative is one that is supported by evidence in either direction.TrueFalseReset Selection

Paper#62084 | Written in 18-Jul-2015

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