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- The standard error of the mean (Qx) is a(n) estimate of population means which make up the sampling distribution. indication of variability in the distribution of sample means indication of variability in the raw data derived from the sample measure of variability in the populationAs part of an assignment for a coastal geomorphology course, you are asked to estimate the mean diameter of boulders on a Lake Superior beach. A random sample of 144 boulders is identified and each boulder is measured. It takes three weeks, and there are hundreds more. Results indicate the average diameter to be 1.65 meters with a standard deviation of 0.40 meters. Rather than measure all the boulders, you decide to prepare an interval estimate of the average diameter of all the boulders on the beach using a confidence level of 95%.What is a point estimate in a confidnece interval for a t test?
- An excess of high values for the cases distributed on a graph results in a positive skew in the data?The average monthly electricity consumption for a sample of 100 families is 1250 units. Assuming thestandard deviation of electric consumption of all families is 150 units, construct a 95 per centconfidence interval estimate of the actual mean electric consumption.Find the percentage of measurements in the data set that fall within each of the intervals . Do these percentages agree with either Chebyshev’s rule or the empirical rule?
- Assume that the helium porosity level (measured in percentage) of coal samples takenfrom any particular seam is normally distributed with true standard deviation 0.75. How largea sample size is necessary if the width of the 95% interval for the true average porosity level isto be 0.40? Hint: Margin of error is related to the sample size. Use this idea to find n.A certain region would like to estimate the proportion of voters who intend to participate in upcoming elections. A pilot sample of 50 voters found that 38 of them intended to vote in the election. Determine the additional number of voters that need to be sampled to construct a 92% interval with a margin of error equal to 0.04 to estimate the proportion. The region should sample ___?__additional voters.An insurance company is trying to estimate the average number of sick days that full-time food service workers use per year. A pilot study found the population standard deviation to be 2.5 days. How large a sample must be selected if the company wants to be 95% confident of getting an interval that contains the true mean with a margin of error of 2 days?
- State the final conclusion that addresses the original claim. please choose one underline per area. Reject/Fail to Reject H0. There is not sufficent/suffient evidence to conclude that the mean lead concentration for all such medicines is not/equal to/greater than/less than.The pregnancy length (in days) for a population of new mothers can be approximated by anormal distribution, with a mean of 267 days and a standard deviation of 10 days. What is the minimum pregnancy length that can be in the top 8% of pregnancy lengths?The mean and standard deviation for the quality grade point averages of a random sample of 28 senior high school students are calculated to be 2.6 and 0.3 respectively. The point estimate for the mean is