(a) How many different samples are possible? (b) How many samples of five contain exactly one nonconforming chip? (c) How many samples of five contain at least one nonconforming chip?
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A lot of 140 semiconductor chips are inspected by choosing a sample of five chips. Assume 10 of the chips do not conform to customer requirements.
(a) How many different samples are possible?
(b) How many samples of five contain exactly one nonconforming chip?
(c) How many samples of five contain at least one nonconforming chip?
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- 4Q1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 25% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 51 of the dragon eggs to incubate. Consider all the possible samples of 51 dragon eggs.What is the usual number of yellow eggs in samples of 51 eggs? (Give answers as SENSIBLE whole numbers.)minimum usual number of yellow eggs = maximum usual number of yellow eggs =
- Monica, a chef at a 5-star restaurant makes eight different desserts. She wants to see if the customers prefer any specific dessert to another. She keeps a record of desserts ordered over the course of several weeks, and the results are summarized in the table below. Is there sufficient evidence to conclude that the customers prefer some specific dessert to another? Use α=0.025 Dessert Frequency Chocolate Mousse 25 Baked Alaska 14 Orange Cheesecake 23 Caramel Flan 32 Banana Broulee 40 Mississippi Mud Pie 20 Ricotta Cannoli 38 French Walnut Torte 34 x =c(25,14,23,32,40,20,38,34)chisq.test(x) What is the null hypothesis? Answer 1 What is an appropriate alternative hypothesis? Answer 2 Compute the test value. Answer 3 Find the p-value. Answer 4 Is there sufficient evidence to support the alternative hypothesis?2Not long after being put into service, some electric scooters manufactured with a certain brandhave developed cracks on the underside of their main frame. Suppose a particular collegecampus has 25 such scooters, and cracks have actually appeared in eight of them.a. How many ways are there to select a sample of five scooters from the 25 for thoroughinspection?b. In how many ways can a sample of five scooters contain exactly four with visible cracks?c. If a sample of five scooters was chosen at random, what is the probability that exactlyfour of the five will have visible cracks?d. If scooters are selected as in part c, what is the probability that at least four of thoseselected will have visible cracks?4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level…
- In a survey, it was found that 80% of adults operate the flusher of toilets in public restrooms with their foot. (a) If 300 adults are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? (a) We would expect (Type a whole number.) adults to flush toilets in public restrooms with their foot. (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? Choose the correct answer below. O A. Yes, because 255 is greater than u + 2o. O B. No, because 255 is greater than u + 20. O C. Yes, because 255 is between u - 20 and u+ 20. O D. No, because 255 is less than u- 20. O E. No, because 255 is between u -20 and u+ 20.8. A set of 5 coins is tossed 3200 times and the number of heads appearing each time įs noted. The results are given below : 4 5 No. of Heads 2 900 500 50 Frequency 80 570 1100 Test the hypothesis that the coins are unbiased.1. Suppose there are nine sections of Intro Stats with 25 students each. You ‘randomly’ choose two studentsfrom each section to use as asample. Which of the following results best describes this type of sample?A. a random, stratified sampleB. a simple random sampleC. a random, clustered sampleD. a non-random, systematic sampleE. a random, convenient sample 2. Suppose there are nine sections of Intro Stats with 25 students each. You place all 225 student’s namesin a hat and ‘randomly’ draw 30 student names to use as asample. Which of the following results bestdescribes this type of sample?A. a random, stratified sampleB. a simple random sampleC. a random, clustered sampleD. a non-random, systematic sampleE. a random, convenient sample 3. Assume the heights of students at College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting aCollege student tallerthan 62.2…
