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##### apu math 302 quiz 4

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Question;Question 1 of 20;1.0/ 1.0 Points;A severe storm has an average peak wave height of 16.4 feet;for waves hitting the shore. Suppose that a storm is in progress with a severe;storm class rating. Let us say that we want to set up a statistical test to see;if the wave action (i.e., height) is dying down or getting worse. If you wanted;to test the hypothesis that the waves are dying down, what would you use for;the alternate hypothesis? Is the P-value area on the left, right, or on both;sides of the mean?;Correct A.H1: \f$\mu;\f$ is less than 16.4 feet, the P-value;area is on the left of the mean;B.H1: \f$\mu \f$ is greater than 16.4 feet, the P-value area;is on both sides of the mean;C.H1: \f$\mu \f$ is greater than 16.4 feet, the P-value area;is on the left of the mean;D.H1: \f$\mu \f$ is not equal to 16.4 feet, the P-value area;is on the right of the mean;Answer Key;Question 2 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?;State the null and alternative hypotheses.;A.H0: s2? 1.2, H1;s2 = 1.2;B.H0: s2 1.2;Answer Key;Question 3 of 20;0.0/ 1.0 Points;A null hypothesis can only be rejected at the 5%;significance level if and only if;Incorrect;A.the null hypotheses includes sampling error;B.a 95% confidence;interval includes the hypothesized value of the parameter;C.a 95% confidence;interval does not include the hypothesized value of the parameter;D.the null hypothesis;is biased;Answer Key;Question 4 of 20;1.0/ 1.0 Points;The alternative hypothesis is also known as the;A.optional hypothesis;Correct B.research;hypothesis;C.null hypothesis;D.elective hypothesis;Answer Key;Question 5 of 20;1.0/ 1.0 Points;The null and alternative hypotheses divide all possibilities;into;A.two sets that;overlap;B.two sets that may;or may not overlap;Correct C.two;non-overlapping sets;D.as many sets as;necessary to cover all possibilities;Answer Key;Question 6 of 20;1.0/ 1.0 Points;A type I error occurs when the;Correct A.null;hypothesis is incorrectly rejected when it is true;B.sample mean differs;from the population mean;C.null hypothesis is;incorrectly accepted when it is false;D.test is biased;Answer Key;Question 7 of 20;0.0/ 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?;At the a =.01 level of significance, what is your;conclusion?;A.;Reject;H0. At the \f$\alpha \f$ =.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.;Incorrect;B.Reject H0. At the \f$\alpha \f$ =.01;level of significance, there is enough evidence to support the claim that this;technician?s variance is larger than the target accuracy.;C.Do not reject H0.;At the \f$\alpha \f$ =.01 level of;significance there is not sufficient evidence to suggest that this technician?s;true variance is greater than the target accuracy.;D.Cannot determine;Answer Key;Question 8 of 20;1.0/ 1.0 Points;Smaller p-values indicate more evidence in support of the;Correct A.alternative;hypothesis;B.quality of the;researcher;C.null hypothesis;D.the reduction of;variance;Answer Key;Question 9 of 20;1.0/ 1.0 Points;In an article appearing in Today?s Health a writer states;that the average number of calories in a serving of popcorn is 75. To determine;if the average number of calories in a serving of popcorn is different from 75;a nutritionist selected a random sample of 20 servings of popcorn and computed;the sample mean number of calories per serving to be 78 with a sample standard;deviation of 7.;State the null and alternative hypotheses.;A.H0: \f$\mu \f$ \f$\leq \f$;75, H1: \f$\mu \f$ > 75;Correct B.H0: \f$\mu;\f$ = 75, H1: \f$\mu \f$? 75;C.H0: \f$\mu \f$ \f$\geq \f$;75, H1: \f$\mu \f$ 75;Answer Key;Question 10 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 better;B.staying with old;style when new style is no better than old style;C.switching to new;style when it is better than old style;Correct D.switching to;new style when it is no better than old style;Answer Key;Question 11 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;increases;B.The p ? value;decreases;Incorrect;C.The p ? value may increase or decrease;D.The p ? value stays;the same;Answer Key;Part 2 of 3 - 3.0/;6.0 Points;Question 12 of 20;0.0/ 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 survey determines that mint chocolate chip is the favorite;ice cream flavor of 6% of consumers. An ice cream shop determines that of 240;customers, 18 customers stated their preference for mint chocolate chip.;Find the P-value that would be used to determine if the;percentage of customers who prefer mint chocolate chip ice has increased at a;5% level of significance.;P-value: Correct.3278;Round your answer to four decimal places as necessary.;Answer Key: 0.1635|0.1639;Feedback: This is a right-tail hypothesis test with a test;statistic of z = 0.978492.;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.;The ABC battery company claims that their batteries last 100;hours, on average. You decide to conduct a test to see if the company's claim;is true. You believe that the mean life may be different from 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: f$mu f$;= 100 versus H1: f$mu;eq f$ 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 at the 0.05 level of;significance, what are the critical values that you should use? Place the;smaller critical value, rounded to 3 decimal places, in the first blank. For;example, -1.234 would be a legitimate entry.;Correct-2.093. Place the larger;critical value, rounded to 3 decimal places, in the second blank. For example, 1.234 would be a legitimate;entry. Correct2.093;Answer Key: -;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.;A medical doctor wishes to test the claim that the standard;deviation of the systolic blood pressure of deep sea divers is less than 450.;To do so, she selected a random sample of 20 divers and found s = 432.;Assuming that the systolic blood pressures of deep sea;divers are normally distributed, if the doctor wanted to test her research;hypothesis at the.01 level of significance, what is the critical value?;Place your answer, rounded to 3 decimal places, in the;blank. For example, 4.567 would be a legitimate entry. Correct7.633;Answer Key;Question 15 of 20;0.0/ 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.;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: f$mu leq f$;1500 versus H1: f$ mu f$ >;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,.123 would be a;legitimate entry. Correct1.711;Answer Key;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 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: f$mu geq;f$ 100 versus H1: f$mu< f$ 100;Sample mean 98.5;Std error of mean 0.777;Assuming the life length of batteries 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, 0.0234 would be a;legitimate entry. Correct.0344;Answer Key;Question 17 of 20;0.0/ 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 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. Correct34.329;Answer Key;Part 3 of 3 - 3.0/;3.0 Points;Question 18 of 20;1.0/ 1.0 Points;Sample evidence is statistically significant at the f$alpha;f$ level only if the p?value is larger;than f$alpha f$.;Correct;True;False;Answer Key;Question 19 of 20;1.0/ 1.0 Points;If a null hypothesis about a population mean is rejected at;the 0.025 level of significance, then it must also be rejected at the 0.01;level.;Correct;True;False;Answer Key;Question 20 of 20;1.0/ 1.0 Points;A low p?value provides evidence for accepting the null;hypothesis and rejecting the alternative.;Correct;True;False;Answer Key

Paper#62416 | Written in 18-Jul-2015

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