a) Using the minimum sample size determination formula, find the minimum sample size needed if you want to be 85% confident that the sample mean 63.26262626 is within 2 units (margin of error E = 2). (n=99) b) What if the sample mean was 69.21518987? (n=79)
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- A population is normally distributed with a mean of 56 and a standard deviation of 12. a) What is the mean of the distribution of sample means (sampling distribution) (µM) for this population? b) If a sample of 36 participants is selected from this population, what is the standard error of the mean (sM)?If we draw a random sample of size 49 from a population with a mean of 56 and a standard deviation of 7, what will be the approximate distribution of the sample mean? A ) Chi-Square distribution with 48 degrees of freedom, a mean of 56, a variance of 1. B ) Normal distribution with a mean of 56, and a variance of 7. C ) t distribution with 48 degrees of freedom, a mean of 56, a variance of 1. D ) Normal distribution with a mean of 56 and a variance of 1. E ) t distribution with 48 degrees of freedom, a mean of 56, a variance of 7.In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions? a) mean = 184.50, standard deviation = 0.0256 b) mean = 0.82, standard deviation = 0.0007 c) mean = 184.50, standard deviation = 0.0007 d) mean = 0.82, standard deviation = 0.0256 e) mean = 0.82, standard deviation = 0.5656 f) None of the above
- What is wrong. In each of the following situations, identify what is wrong and then either explain why it is wrong or change the wording to make the statement true. b) The standard error of the sample mean is s^2/n c) A researcher wants to test H0: X with line on top = 30 versus the one - sided alternative Ha: X withb line on top < 30The level of dissolved oxygen in a river indicates the water’s ability to support aquatic life. A research project is started to determine if the oxygen levels in the river have changed. A study done 10 years prior, showed that the mean oxygen levels in milligrams per liter for the river was 4.3. A.) Write appropriate hypotheses for this test B.) Water is collected samples from 15 randomly chosen locations along the river and measured the dissolved oxygen. Construct and interpret a 95% confidence interval for the mean dissolved oxygen level for this stream. The results are in milligrams per liter: 4.53 5.5 4.01 5.04 4.83 4.66 3.29 4.4 2.87 5.23 5.42 5.73 4.13 6.38 5.55 C.) Based on the sample from part B, conduct a significance test of these results using a 5% significance level. Give complete results of the test including a p-value and what the results means.In an ANOVA, there are 5 groups and the between-groups sum of squares is 98. What is the mean square between groups? Round to three decimal places. Answer: Please give solution in correct and step by step detailed format thanku Don't give solution in image format
- An excess of high values for the cases distributed on a graph results in a positive skew in the data?a) An impact test is performed on 32 specimens of PVC pipe. Calculate the margin of error in estimating the true mean impact strength,1 if the population standard deviation is 0:31. Use a 95% condence level. b) Suppose you need to construct a condence interval. How do you decide whether to use a z-score or a t-score?An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population of normal adults. Find the sample size necessary"to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume that o = 13 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation, see The required sample size is. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly large number. O Yes. This number of IQ test scores is a fairly small number. O Yes. This number of IQ test scores is a fairly large number. O No. This number of IQ test scores is a fairly small number.