Population values: 1, 5, 6 μ- Population mean - - Population standard deviation - 2.16 deviation and not the sample standard deviation. Sampling distribution of size n = 3: Ordered Possible Samples size 2 1, 5, 1 5, 5 5, 1 6, 6, 6 1 5 1,5 1,6 6,6 (Round to two places after the decimal). Make sure to enter the population standard 3 3 Sample Mean 1 3.5 5 5.5 3.5 5.5
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- Find the mean and standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distributions. The zloty is the official currency of Poland. During a recent period of two years the day ahead prices for a renewable energy in Poland have a mean of 158.51 and a standard deviation of 33.424. Random samples of size 100 are drawn from this population and the mean of each sample is determinedFind the mean adn standard deviation of the indicated sampling distribution of sample means. Then sketch a graph of the sampling distribution. In a recent study involving 42 men the man temperature of the mean was found to be 96.8F with a standard deviation of 0.61. Random sample size 30 are drawn from this population and the mean of each sample is determined.A biologist studies the gestation period of wolves. Past data reveals that such gestation periods have a mean of 65 days with standard deviation 20days. The normal distribution for the population is shown by the dotted black line. The biologist plans to take a random sample of 15such wolves and will calculate the mean gestation period of the sample to compare to the known gestation periods. Compute the mean and standard deviation of the sampling distribution of sample means for a sample of size 15. Round your answers to the nearest tenth. Show your answer by moving the two draggable points to build the sampling distribution.
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- find a point estimate for the population standard deviation (i.e., the standard deviation of the variable) A simple random sample is taken from a population and yields the following data for a variable of the population: 20 2 6 2 12 6 9 8 16 8 21 Find a point estimate for the population mean (i.e., the mean of the variable).Steel rods manufactured in a plant must be a minimum of 2 metres in length in order to pass through an inspection procedure. Steel rods with lengths that are normally distributed, with a mean of 2.1 metres and a standard deviation of 0.1 metres, are produced during the manufacturing process. A random sample of 25 steel rods is chosen, and their lengths are measured using a tape measure. i. Decide on the appropriate distribution of the sample mean of the 25 steel rods in the sample using the appropriate distribution formula. ii. Calculate the probability that the sample mean of steel rods that meet the minimum length requirement is the same as the mean of the entire sample. iii. For example, if the observed sample mean length of steel rods is 2.15, calculate the 98% two-sided confidence interval for the true mean length of the manufacturing process, assuming that it is not known.Sample of 75 are selected from a population with mean 29 and standard deviation of 7.5. The mean of the sampling distribution of sample means is?
- Blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4 (all units are 1000 cells/µL). Using the empirical-rule, what is the approximate percentage of women with platelet counts (a) Within 2 standard deviation of the mean, or between 124.3 and 385.9 [1] (b) Between 189.7 and 320.5The applicants to a company took a 60-item entrance exam. Their scores resemble a normal distribution with a mean of 50 and a standard deviation of 4. If the company would like to have the top 20% of the applicants go on the next phase of the application process, what should be their cut-off score (nearest hundredths) in the examMillionaires. Professor Thomas Stanley of Georgia State University has surveyed millionaires since 1973. Among other information, Professor Stanley obtains estimates for the mean age, μ, of all U.S. millionaires. Suppose that one year’s study involved a simple random sample of 36 U.S. millionaires whose mean age was 58.53 years with a sample standard deviation of 13.36 years. a. If, for next year’s study, a confidence interval for μ is to have a margin of error of 2 years and a confidence level of 95%, determine the required sample size. b. Why did you use the sample standard deviation, s = 13.36, in place of σ in your solution to part (a)? Why is it permissible to do so?