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##### APUS Math 302 quiz

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Question;Question 1 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;survey of 85 families showed that 36 owned at least one DVD;player. Find the 99% confidence interval estimate of the true proportion;of families who own at least one DVD player. Place your limits, rounded to 3 decimal places, in the blanks. Place the lower limit in the first blank and the upper limit in the second blank;When entering your answer do not use any labels or symbols other than;the decimal point. Simply provide the numerical values. For example;0.123 would be a legitimate entry.;Question 2 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;sample of 9 production managers with over 15 years of experience has an;average salary of $71,000 and a sample standard deviation of $18,000.;Assuming that the salaries of production managers with over 15 years;experience are normally distributed, you can be 95% confident that the;mean salary for all production managers with at least 15 years of;experience is between what two numbers.;Place your LOWER limit, rounded to a whole number, in the first blank.;Do not use a dollar sign, a comma, or any other stray mark. For example;54321 would be a legitimate entry.. Place your UPPER limit, rounded to a whole number, in the second;blank. Do not use a dollar sign, a comma, or any other stray mark. For;example, 65432 would be a legitimate entry.;Question 3 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. The;manufacturer of a new compact car claims the miles per gallon (mpg) for;the gasoline consumption is mound-shaped and symmetric with a mean of;24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are;tested, what is the probability the average mpg achieved by these 30;cars will be greater than 27?;Answer: Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a legitimate entry.;Question 4 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. The;percent defective for parts produced by a manufacturing process is;targeted at 4%. The process is monitored daily by taking samples of;sizes n = 160 units. Suppose that today?s sample contains 14 defectives.;How many units would have to be sampled to be 95% confident that you can;estimate the fraction of defective parts within 2% (using the;information from today?s sample--that is using the result that)?;Place your answer, as a whole number, in the blank. For example 567 would be a legitimate entry.;Question 5 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. If a sample has 25 observations and a 99% confidence estimate for is needed, the appropriate value of the t-multiple required is. Place your answer, rounded to 3 decimal places, in the blank. For example, 3.456 would be an appropriate entry.;Question 6 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. After;calculating the sample size needed to estimate a population proportion;to within 0.05, you have been told that the maximum allowable error (E);must be reduced to just 0.025. If the original calculation led to a;sample size of 1000, the sample size will now have to be. Place your answer, as a whole number in the blank. For example, 2345 would be a legitimate entry.;Question 7 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. Assume;50 random samples of the same sample size are taken from a population;and a 90% confidence interval is constructed from each sample. How many;of the intervals would you expect to contain the true population mean?;Answer: Round your answer to a whole number value as necessary. For example, 37 would be a legitimate entry.;Part 2 of 3 -;Question 8 of 20;1.0 Points;From a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defective will be: A..06;B.0.60;C.30;D.16.667;Reset Selection;Question 9 of 20;1.0 Points;If you increase the confidence level, the confidence interval ____________. A.decreases;B.may increase or decrease, depending on the sample data;C.stays the same;D.increases;Reset Selection;Question 10 of 20;1.0 Points;Compute where t15 has a t-distribution with 15 degrees of freedom. A.0.96803;B.0.93606;C.0.7639;D.0.03197;Reset Selection;Question 11 of 20;1.0 Points;A food snack manufacturer samples 15 bags of pretzels;off the assembly line and weighed their contents. If the sample mean;is 10.0 and the sample standard deviation is 0.15, find the 95%;confidence interval estimate for the true mean. A.(9.96, 10.04);B.(9.68, 10.32);C.(9.97, 10.80);D.(9.92, 10.08);Reset Selection;Question 12 of 20;1.0 Points;A recent study of 750;Internet users in Europe found that 35% of Internet users were;women. What is the 95% confidence interval estimate for the true;proportion of women in Europe who use the Internet? A.0.321 < p < 0.379;B.0.316 < p < 0.384;C.0.309 < p < 0.391;D.0.305 < p < 0.395;Reset Selection;Question 13 of 20;1.0 Points;A sample of 23 European countries found that the;variance of life expectancy was 7.3 years. What is the 95% confidence;interval estimate for the variance of life expectancy in Europe? A.27.2 < < 118.3;B.5.6 < < 10.3;C.4.4 < < 14.6;D.28.9 < < 115.0;Reset Selection;Question 14 of 20;1.0 Points;The t- distribution for developing a confidence interval for a mean has _____ degrees of freedom. A.n + 1;B.n - 2;C.n - 1;D.n;Reset Selection;Question 15 of 20;1.0 Points;If you are constructing a confidence interval for a;single mean, the confidence interval will___________ with an increase in;the sample size. A.stay the same;B.increase or decrease, depending on the sample data;C.increase;D.decrease;Reset Selection;Question 16 of 20;1.0 Points;A researcher wishes to know, with 98% confidence, the;percentage of women who wear shoes that are too small for their feet. A;previous study conducted by the Academy of Orthopedic Surgeons found;that 80% of women wear shoes that are too small for their feet. If the;researcher wants her estimate to be within 3% of the true proportion;how large a sample is necessary? A.966;B.683;C.183;D.484;Reset Selection;Question 17 of 20;1.0 Points;Which of the following will make a confidence interval narrower and more precise? A.Smaller sample size and higher confidence level;B.Larger sample size and higher confidence level;C.Larger sample size and lower confidence level;D.Smaller sample size and lower confidence level;Reset Selection;Question 18 of 20;1.0 Points;In constructing a confidence interval estimate for a population mean, when we replace with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is: A.chi-square distribution;B.t -distribution;C.F- distribution;D.the normal distribution;Reset Selection;Part 3 of 3 -;Question 19 of 20;1.0 Points;The 95% confidence interval for the population mean, given that the sample size n = 49 and the population standard deviation = 7, is.;True;False;Reset Selection;Question 20 of 20;1.0 Points;The upper limit of the 90% confidence interval for the population proportion p, given that n = 100, and = 0.20 is 0.2341.;True;False

Paper#61328 | Written in 18-Jul-2015

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