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##### APUS Math Statistics 302 Quiz 4 - Seffy

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Question;Part 1;of 3 -;Question 1 of 20;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;Reset Selection;Question 2 of 20;1.0 Points;A null;hypothesis can only be rejected at the 5% significance level if and only if;A.the null hypothesis is;biased;B.a 95% confidence;interval includes the hypothesized value of the parameter;C.the null hypotheses;includes sampling error;D.a 95% confidence;interval does not include the hypothesized value of the parameter;Reset Selection;Question 3 of 20;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?;At thea =.01 level of significance, what is your;conclusion?;A.Cannot determine;B.Do not reject H0. At;the =;.01 level of significance there is not sufficient evidence to suggest;that this technician?s true variance is greater than the target;accuracy.;C.;Reject H0. At the =;.01 level of significance, there is not enough evidence to support the;claim that this technician?s true variance is larger than the target;accuracy.;D.Reject H0.;At the =;.01 level of significance, there is enough evidence to support the claim;that this technician?s variance is larger than the target accuracy.;Reset Selection;Question 4 of 20;1.0 Points;Suppose;that the mean time for a certain car to go from 0 to 60 miles per hour was;7.7 seconds. Suppose that you want to test the claim that the average time;to accelerate from 0 to 60 miles per hour is longer than 7.7 seconds. What;would you use for the alternative hypothesis?;A.H1: = 7.7;seconds;B.H1: >;7.7 seconds;C.H1: 7.7;seconds;D.H1;75;D.H0: = 75;H1:? 75;Reset Selection;Question 6 of 20;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?;State the null and alternative hypotheses.;A.H0:s2? 1.2, H1:s2 > 1.2;B.H0:s2? 1.2, H1:s2? 1.2;C.H0:s2;1500;Sample mean 1509.5;Std error of mean 4.854;What is the test value that you would use to conduct this test? Place your;answer, rounded to 3 decimal places in the blank. For example, 1.234 would;be a legitimate entry.;Question 16 of 20;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 statistician wishes to test the claim that the standard deviation of the;weights of firemen is greater than 25 pounds. To do so, she selected a random;sample of 30 firemen and found s = 27.2 pounds.;Assuming that the weights of firemen are normally distributed, if the;statistician wanted to test her research hypothesis at the.05;level of significance, what is the critical value?;Place your answer, rounded to 3 decimal places, in the blank. For example;23.456 would be a legitimate entry.;Question 17 of 20;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.;Suppose a firm that produces light bulbs wants to know whether it can say;that its light bulbs typically last more than 1500 hours. Hoping to find;support for their claim, the firm collects a random sample of n = 25 light;bulbs and records the lifetime (in hours) of each bulb. 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, 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.;Part 3;of 3 -;Question 18 of 20;1.0 Points;An;alternative or research hypothesis is usually the hypothesis a researcher;wants to prove.;True;False;Reset Selection;Question 19 of 20;1.0 Points;Using;the confidence interval when conducting a two-tailed test for the;population mean, we do not reject the null hypothesis if the hypothesized;value for falls;between the lower and upper confidence limits.;True;False;Reset Selection;Question 20 of 20;1.0 Points;In order;to determine the p-value, it is unnecessary to know the level of;significance.;True;False;Reset Selection

Paper#60639 | Written in 18-Jul-2015

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