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##### MATH302 QUIZ 4

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Question;Question 1 of 20 0.0/;1.0 Points;A manufacturer of flashlight batteries took a sample of 13;batteries from a day?s production and used them continuously until they failed;to work. The life lengths of the batteries, in hours, until they failed were;342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, and 298.;At the.05 level of significance, is there evidence to;suggest that the mean life length of the batteries produced by this;manufacturer is more than 400 hours?;A.No, because the test value 1.257 is greater;than the critical value 1.115;B.Yes, because the test value 1.257 is less;than the critical value 1.782;C.No, because the p-value for this test is;equal to.1164;D.Yes, because the test value 1.257 is less;than the critical value 2.179;Question 2 of 20 1.0/;1.0 Points;Results 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;Question 3 of 20 1.0/;1.0 Points;Results 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;Question 4 of 20 1.0/;1.0 Points;Results 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:? =.79, H1:? >.79;B.H0: p?.79, H1: p >.79;C.;H0: =.79;H1: >.79;D.H0: p =.79, H1: p?.79;Question 5 of 20 1.0/;1.0 Points;A 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;Question 6 of 20 1.0/;1.0 Points;The ?Pizza Hot? manager commits a Type I error if he/she is;A.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;Question 7 of 20 1.0/;1.0 Points;The 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;Question 8 of 20 1.0/;1.0 Points;A 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. = 27.50;B. =;30.58;C.t = 27.50;D.z = 1.65;Question 9 of 20 0.0/;1.0 Points;You 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;Question 10 of 20 1.0/;1.0 Points;A 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;Question 11 of 20 1.0/;1.0 Points;If 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;Part 2 of 3 - 6.0/;6.0 Points;Question 12 of 20 1.0/;1.0 Points;Accepted 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: 100;versus H1: 100;Sample mean 98.5;Std error of mean 0.777;Assuming 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. -1.729;Question 13 of 20 1.0/;1.0 Points;Accepted 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 = 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 = 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. 1.65;Question 14 of 20 1.0/;1.0 Points;Accepted 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 test;H0: 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 p-value associated with this test. Place your;answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be;a legitimate entry. 0.1004;Question 15 of 20 1.0/;1.0 Points;Accepted 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.;At a university, the average cost of books per student has;been $400 per student per semester. The Dean of Students believes that the;costs are increasing and that the average is now greater than $400. He surveys a sample of 40 students and finds;that for the most recent semester their average cost was $430 with a standard;deviation of $80. What is the test value;for this hypothesis test?;Question 16 of 20 1.0/;1.0 Points;Accepted 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 test;H0: 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. -1.279;Question 17 of 20 1.0/;1.0 Points;Accepted 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: 1500;Sample mean 1509.5;Std error of mean 4.854;Assuming 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. 0.062;Part 3 of 3 - 3.0/;3.0 Points;Question 18 of 20 1.0/;1.0 Points;In order to determine the p-value, it is unnecessary to know;the level of significance.;True;False;Question 19 of 20 1.0/;1.0 Points;Using 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.;True;False;Question 20 of 20 1.0/;1.0 Points;A one-tailed alternative is one that is supported by;evidence in either direction.;True;False

Paper#60600 | Written in 18-Jul-2015

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