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Recent questions in Sampling distributions

2021-12-09

Problem 1: A machine is producing metal pieces that are cylindrical in shape. A sample of pieces is taken and the diameters are 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 cm. Find a 99% confidence interval of the true mean diameter of pieces from this machine, assuming an approximate normal distribution.

Zoe Oneal 2021-10-26 Answered

Resource managers of forest game lands were concerned about the size of the deer and rabbit populations during the winter months in a particular forest. As an estimate of population size, they proposed using the average number of pellet groups for rabbits and deer per 30-foot-square plots. From an aerial photograph, the forest was divided into N= 10,000 30-foot-square grids. A simple random sample of 2 = 500 plots was taken, and the number of pellet groups was observed for rabbits and for deer. The results of this study are summarized in the accompanying table. a. Estimate $$\displaystyle\mu_{{1}},{\quad\text{and}\quad}\mu_{{2}}$$, the average number of pellet groups for deer and rabbits, respectively, per 30-foot-square-plots. Place bounds on the errors of estimation. b. Estimate the difference in the mean size of pellet groups per plot for the two animals, with an appropriate margin of error. Deer Sample mean = 2.30 Sample variance = 0.65 Rabbits Sample mean = 4.52 Sample variance = 0.97

Isa Trevino 2021-06-26 Answered

Represent sampling distributions in the format of a table that lists the different values of the sample statistic along with their corresponding probabilities. Given that the data consist of ranks, does it really make sense to identify the sampling distribution of the sample means?

Falak Kinney 2021-05-27 Answered

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. $$H_0:\ P=0.52$$ versus $$H_1:p<0.52$$ $$N=150, X=72,\alpha=0.1$$ Is $$NP_0(1-P_0)$$ greater than or equal to 10? Use technology to find the P-Value.

Brennan Flores 2021-05-21 Answered

When comparing two sets of data values, what is the advantage of using relative frequency distributions instead of frequency distributions?

Carol Gates 2021-05-19 Answered

The correct statement which is incorrect from the options about the sampling distribution of the sample mean (a) the standard deviation of the sampling distribution will decrease as the sample size increases, (b) the standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples, (c) the sample mean is an unbiased estimator of the true population mean, (d) the sampling distribution shows how the sample mean will vary in repeated samples, (e) the sampling distributions shows how the sample was distributed around the sample mean.

Cem Hayes 2021-03-09 Answered

Which of the following is true about the sampling distribution of means? A. Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is. B. Sampling distributions of means are always nearly normal. C. Sampling distributions of means get closer to normality as the sample size increases. D. Sampling distribution of the mean is always right skewed since means cannot be smaller than 0.

Jason Farmer 2021-03-04 Answered

Which of the following statements about the sampling distribution of the sample mean is incorrect? (a) The standard deviation of the sampling distribution will decrease as the sample size increases. (b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples. (c) The sample mean is an unbiased estimator of the population mean. (d) The sampling distribution shows how the sample mean will vary in repeated samples. (e) The sampling distribution shows how the sample was distributed around the sample mean.

Kyran Hudson 2021-03-01 Answered