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- Write the formula for the sample mean, X, for ʼn data points. Write the formula for the sample variance, S², for n data points.You want to find the probability of getting a z score less than or equal to 1.2. Which distribution would be the best for calculating this probablitySuppose that insurance companies did a survey. They randomly surveyed 400 drivers and found that 310 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up. Which distribution should you use for this problem? (Round your answer to four decimal places.)
- A researcher selects a sample of 6 men and 11 women. She asks participants to rate the likelihood they would do female-stereotyped jobs (such as nursing or school teaching) on a scale from 1 = not likely at all to 5 = very likely. Men indicated that they would be less likely to do these jobs (M = 2.1) compared with women (M = 4.3). What is the weighted mean for the combined sample of 17 total participants? O O 2.1 4.3 3.2 3.5In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study GuideA survey was conducted two years ago asking college students their top motivations for using a credit card. To determine whether this distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use a=0.10. Complete parts (a) through (d). New Survey Frequency, f 111 97 Response Old Survey % Rewards 29% 23% Low rates Cash back Discounts Other 22% 108 8% 46 18% 63 UD. XX O D. X Xo 2 OC. X >Xo OC. X>x (c) Calculate the test statistic. (Round to three decimal places as needed.) %3D (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V the claimed or ▼enough evidence to conclude that the distribution of motivations Ho At the 10% significance level, there expected distribution.
- Suppose that the efficacy of a certain drug is 0.56. Consider the sampling distribution (sample size �=99) for the proportion of patients cured by this drug. What is the mean of this distribution? What is the standard error of this distribution? Round the answer to three decimal places.SKIP IF YOU ALREADY DID THIS.
- Thirty percent of the students in a class of 100 are planning to go to graduate school. The Variance of this binomial distribution is: A. 16 B. 21 C. 25 D. 36 CatAccording to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,Suppose a population with a mean of 100 and a variance of 900 was given. The central limit theorem was applied with a sample size ?? ≥ 25. A random sample of size ?? = 30 wasobtained. Find the: i. mean and variance of sampling distribution for sample means. ii. probability that 96 ≤ ??̅≤ 110. iii. probability that ??̅≤ 107.