Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c=0.95, o=9.3, and E= 1
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- a. Calculate how much difference is expected, on average, between two sample means if: n1 = 4, n2 = 6, and the pooled variance is 60 (Assume the two samples were selected from the same population) b. Calculate how much difference is expected, on average, between two sample means if: n1 = 12, n2 = 15, and the pooled variance is 60 (Assume the two samples were selected from the same population)2. A population consists of the four numbers 1, 2, 8, and 9. List all the possible samples of size n =2 which can be drawn without replacement from the population. Find the following: a. Population mean b. Population variance c. Population standard deviation d. Mean of the sampling distribution of sample means e. Variance of the sampling distribution of sample means f. Standard deviation of the sampling distribution of sample means nollevsadoThree randomly selected children are surveyed. The ages of the children are 3, 5, and 10. Assume that samples of size n= 2 are randomly selected with replacement from the population of 3, 5, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 3,3 3,5 3,10 5,3 5,5 5,10 10,3 10,5 10,10 . a. For the population, find the proportion of odd numbers. The proportion is (Round to three decimal places as needed) b. Find the proportion of odd numbers of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct proportion values ce! Sample Proportion Probability Tool (Type integers or simplified fractions.) c. Find the mean of the sampling distribution of the sample proportion of odd numbers. The mean is (Round to three decimal places as needed ) Next Activane
- Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 4, 5, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 4,4 4,5 4,9 5,4 5,5 5,9 9,4 9,5 9,9 a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. s2 Probability ▼ 0 0.3 1 ? ▼ 1 0.5 4 ? ▼ 18 4 8 ? ▼ 12.5 6.3 25 ? (Type an integer or a fraction. Use ascending order of the sample variances.)from the given parameters of the population and sample size. and o Determine H= 86, o = 16, n 64The instructor takes a random sample of size from the population data and obtains the following sample data: x 405 385 495 385 555 470 5 If we take random samples of size n = 6 from this population, the number of possible samples is: a 11,481,019,312 b 11,367,345,853 c 11,254,797,874 d 11,143,364,232
- Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 14 (Round to three decimal places as needed.) b. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. 0 4.5 18 40.5 Probability 1 320 NONS 9 2 9 2 9 (Type integers or simplified fractions.) c. Find the mean of the sampling distribution of the sample variance. (Round to three decimal places as needed.)A population consists of 35% sixes and 65% fives. What will be the variance for the distribution of sample means for samples of size two selected from this population? a) 14.425 b) 0.2275 c) 0.11375 d) 28.85Which of the statements below is true:a. Larger sample sizes produce greater sampling errorb. Larger sample sizes produce greater margin of errorc. Greater sampling error produces greater margin of errord. Sampling error is not related to Margin of Error
- 5. Find the t values that form the boundaries of the criti- cal region for a two-tailed test with a = .05 for each of the following sample sizes: %3D а. п 3 4 b. n = 15 с. п %3D 24f. The p-value for this sample = i. Thus, the final conclusion is A. There is insufficient evidence to conclude that the distribution of die rolls is not uniform. B.There is insufficient evidence to conclude that the die rolls are dependent. C.There is sufficient evidence to conclude that the distribution of die rolls is not uniform. D. There is sufficient evidence to conclude that the die rolls are dependent.Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different samples. Complete parts (a) through (d). 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 a. Find the value of the population median. 4 (Type an integer or a decimal. Do not round.) b. Find the median of each of the nine samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Sample Median 1 Probability ▼ ▼ ▼ ▼ L ■ (Type integers or simplified fractions.)