An advertising campaign for a new product is targeted to make 20% of the adult population in a metropolitan area aware of the product. After the campaign, a random sample of 400 adults in the metropolitan area is obtained. i. Find the approximate probability that 57 or fewer adults in the sample are aware of the product ii. Should the approximation in part i. be accur

An advertising campaign for a new product is targeted to make 20% of the adult population in a metropolitan area aware of the product. After the campaign, a random sample of 400 adults in the metropolitan area is obtained. i. Find the approximate probability that 57 or fewer adults in the sample are aware of the product ii. Should the approximation in part i. be accur

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 34 27 26 35 29 39 25 26 290 28 28 34 30 32 28 29 26 24 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and H3? O A. Ho: H= 31 B. Ho, μs 31 O c. Ho : μ= 3 Ha: H#31 Ha: u> 31 Ha: H31 OF. Ho: H231 Ha: u231 Ha: us 31 Ha: µ<31 (b) Use technology to find the P-value. P = (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Reject Ho because the P-value is less than the significance level. O B. Fail…
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between - 2.18 and 3.86 and draw a sketch of the region. Sketch the region. Choose the correct graph below. O A. В. OC. O D. -2.18 3.86 2.18 3.86 -2.18 3.86 -2.18 3.86 The probability is (Round to four decimal places as needed.) Click to select your answer(s). 山T00④ NOV 2. 1377 14 X P W MacBook Air esc 80 888 F3 F4 F7 FB F9 F10 $4 & 4 80 Q E Y A F G H. K /2x cv C V B D. 林 wwww wwwww
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. Tinterval (13.046,22.15) x=17.598 Sx=16.01712719 n=50
A poll found that 59% of a sample of 1020 teens in a certain large country go online several times a day. (Treat this sample as a simple random sample.) Complete parts a through e below. Find the margin of error for this poll if we want 90% confidence in our estimate of the percent of teens in the country who go online several times a day. Explain what the margin of error means. If instead we need to be 95% confident, will the margin of error be larger or smaller? Explain. Find that margin of error.
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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24
A researcher develops a test for identifying intellectually gifted children. It has a μ=56 and σ=8. a. what percentage of children are expected to score above 60? b. What percentage of the scores will be below 54? *ANSWER BOTH PARTS A & B*
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than 0. Sketch the region. Choose the correct graph below. O A. OB. C. ntents a Library The probability is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer All parts showing Clear All Check Anwr
A random sample of 300 Italians found that 71.3% eat pasta at least twice a week. Build a 85% CI for the proportion of Italians who eat pasta at least twice a week. a. First, confirm that there are at least 5 successes and 5 failures: There are successes and failures. b. Enter your Cl answer like this: (min,max). Round to three decimals. Be sure to include the parentheses or you will be marked wrong. Submit Question
Suppose the lengths of human pregnancies are normally distributed with µ = 266 days and o= 16 days. Complete parts (a) and (b) below. (Type integers or decimals.) A. The proportion of human pregnancies that last less than B. The proportion of human pregnancies that last more than days is days is Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than B. The probability that a randomly selected human pregnancy lasts more than (b) The figure to the right represents the normal curve with µ = 266 days and o = 16 days. The area between x = 280 and x = 295 is 0.1558. Provide two interpretations of this area. days is days is Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or…
ACT scores range from 1 to 36 and are normally distributed where N (21.5, 5.4). SAT scores• range from 600 to 2400 and are normally distributed where N (1498, 316). Jorge scores 2090 on the SAT. If both tests measure the same thing, what score on the ACT is equivalent to Jorge's SAT score?