Multiple Choice Question Assume that random variable X be the excess weight of a "1000 grams"...
18. Multiple Choice Question Assume that random variable X be the excess weight of a "1000 grams" bottle of soap. Let X follows a normal distribution with variance 169 g. What sample size is required to have a level of confidence of 95% that the maximum error of the estimate of the mean of the excess weight is less than 1.5g? A. 302 B. 287 C. 289 D. 301 E. 288 0 19. Multiple Choice Question Let X be the...
7. Multiple Choice Question In a company an expert measures the weight of steel pieces. The weights follow a normal distribution with known variance o2 = 16. The engineer wants to be 95% confident that the maximal error is at most E = 0.2 when estimating the mean. Determine the required sample size. A. 25 B. 1537 C. 423 D. 1083 E. none of the above 8. Multiple Choice Question Assume that we have observations from two different populations. The...
15. Multiple Choice Question Consider two independent normal populations. A random sample of size n = 16 is selected from the first normal population with mean 75 and variance 288. A second random sample of size m - 9 is selected from the second normal population with mean 80 and variance 162. Assume that the random samples are independent. Let X, and X, be the respective sample means. Find the probability that X1 + X, is larger than 156.5. A....
Suppose a certain species bird has an average weight of grams. We can assume that the weights of these birds have a normal distribution with grams. Find the sample size necessary for a 70% confidence level with a maximal error of estimate for the mean weights of the birds. Round your answer to the next higher whole number.
3. Multiple Choice Question Consider two independent normal populations. A random sample of size ni = 16 is selected from the first normal population with mean 75 and variance 288. A second random sample of size 12 = 9 is selected from the second normal population with mean 80 and variance 162. Assume that the random samples are independent. Let X1 and X2 be the respective sample means. Find the probability that X1 + X2 is larger than 156.5. A....
Problem 5: 17 points) Let X equal the weight in grams of a 52 gram snack pack of candies. Assume that the distribution of X is NO?). A random sample of n = 10 observations of X yield the following data: 55.95, 56.54, 57.58, 55.13, 57.48, 56.06,69.93, 18.3, 52.57, 58.46. (a) Give a point estimate of pand o based on the data (3) (b) Find the endpoints of a 95% confidence interval for f. [2] (e) Suppose now that X...
Problem 5: 17 points) Let X equal the weight in grams of a 52-gram snack pack of candies. Assume that the distribution of X is N(2,0?). A random sample of n = 10 observations of X yield the following data: 55.95, 56.54, 57,58, 55.13, 57.48, 56.06, 59.93, 58.3, 52.57, 58.46. (a) Give a point estimate of and a based on the data. [3] (b) Find the endpoints of a 95% confidence interval for . (2) (e) Suppose now that X...
Problem 5: [7 points) Let X equal the weight in grams of a 52-gram snack pack of candies. Assume that the distribution of X is N(41, O2). A random sample of n = 10 observations of X yield the following data: 55.95, 56.54, 57.58, 55.13, 57.48, 56.06, 59.93, 58.3, 52.57, 58.46. (a) Give a point estimate of Ji and o based on the data. [3] (b) Find the endpoints of a 95% confidence interval for J. [2] (c) Suppose now...
Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as...
Multiple Choice Question Let random variable X follows an exponential distribution with probability density function fx(x) = 0.5 exp(-x/2), x > 0. Suppose that {X1, ..., X81} is i.i.d random sample from distribution of X. Approximate the probability of P(X1 +...+X31 > 170). A. 0.67 B. 0.16 C. 0.33 D. 0.95 E. none of the preceding