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- Suppose it is generally accepted that 40% of consumers use Apple products. You believe that the percentage is greater. You take a sample of 600 consumers and find that 270 of them use Apple products. Based on our sample, if we repeated this sampling procedure an infinite number of times, 95% of the sample proportions would be between which of the following two numbers?There is a small population of 5 students listed in the table. The 10 possible SRSS of size n = 3 from this population are: Sample #1: Abigail, Bobby, Carlos Sample #2: Abigail, Bobby, DeAnna Sample #3: Abigail, Bobby, Emily Sample #4: Abigail, Carlos, DeAnna Sample #5: Abigail, Carlos, Emily Sample #6: Abigail, DeAnna, Emily Sample #7: Bobby, Carlos, DeAnna Sample #8: Bobby, Carlos, Emily Sample #9: Bobby, DeAnna, Emily Sample #10: Carlos, DeAnna, Emily Name Abigail Bobby Carlos DeAnna Emily Gender Female Male Male Female Female Quiz score ingTa 10 5 10 7 9 Calculate the minimum quiz score for each sample and create a dotplot of the sampling distribution. 7 000000-5 7.5 1.5 7.5 5.5 1.5 2 -2 T 8 8.5 Minimum quiz score 0000-9 2.5 3 3.5 Minimum quiz score ⓇO 8 9 8.5 Minimum quiz score -3 6.5 7 7.5 Minimum quiz score 2.5 3.5 Minimum quiz score -4 8 8014 9.5 4.5 9.5 8.5 4.5 000- 10 00000-5 10 0x000-5 JIn a driver-side "star" scoring system for crash-testing new cars, each crash-tested car is given a rating ranging from one star to five stars; the more stars in the rating. the better is the level of crash protection in a head-on colision. A summary of the driver-side star ratings for 98 cars is reproduced in the accompanying table. Assume that 1 of the 98 cars is selected at random, and let x equal the number of stars in the car's driver-side star rating. Complete parts a through d. E Click the icon to view the summary of the ratings. a. Use the information in the summary to find the probability distribution for x. Complete the table below. P(x) Round to four decimal places as neadad.) Printout Rating Count Percent 4 4.08 3 17 17 35 4 58 5. 19 19.39 96 Print Done
- Consider drawing a random sample of size n = 2 units from a finite population with sampling units {1, 2, 3, 4}. Under sampling without replacement, what is the sum of the estimated population totals corresponding to the smallest and the maximum possible sample totals.If a variable can take certain integer values between two given points, then it is called O a. Continuous random variable O b. Probabilistic random variable c. O c. Deterministic random variable O d. Uncertain random variable O e. Discrete random variableThe University of Chicago's General Social Survey (GSS) is the nation's most important social science sample survey. For reasons known only to social scientists, the GSS regularly asks a random sample of people their astrological sign. Here are the counts of responses from a recent GSS of 4344 people: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn 354 Leo 383 Aquarius 376 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We…
- 3b)Consider the following population of ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. a. Find 3 random samples of the five digits from the list. Record the elements of each sample. b. find the arithmetic average of each sample. (Hint: to find the average, sum the data enteries and divide the sum by the number of enteries in the sample.) there is a line over each of these x1 = x2= x3= c. comment on how your results compare with the average of the entire population.3. An integer is randomly chosen from the set 1, 2,..., 100. If this integer is divisible by 2 we let Y = 0, and if it is not divisible by 2 but is divisible by 3 then Y = 1. We let Y = 2 in all other cases. Find mean and variance of Y.
- need answers to questions 9 and 10The geographical distribution of the hometown of 80 students of PUP is given as: 50 from Luzon, 10 from Visayas, and 20 from Mindanao. (1) How many ways can three students be selected at random such that NO student comes from Luzon and Mindanao.(2) How many ways can three students be selected at random such that all of them come from any of the three places.3a)