A random sample is to be selected from a population that has a proportion of successes...
A random sample of size n = 40 is selected from a binomial distribution with population proportion p = 0.25. Describe the approximate shape of the sampling distribution of p̂. approximately normalskewed left uniformskewed right Calculate the mean and standard deviation (or standard error) of the sampling distribution of p̂. (Round your standard deviation to four decimal places.) mean standard deviation Find the probability that the sample proportion p̂ is between 0.15 and 0.41. (Round your answer to four decimal places.)
A random sample of size n = 60 is selected from a binomial distribution with population proportion p = 0.25. (a) What will be the approximate shape of the sampling distribution of p? O skewed to the right O skewed to the left O normal (b) What will be the mean and standard deviation (or standard error) of the sampling distribution of p? (Round your answers to four decimal places.) C standard deviation mean (c) Find the probability that the...
A random sample of size n is selected from a population that has a proportion of success equal to 0.23. What effect will increasing the sample size by 4 times as much have on the mean and standard deviation of the sampling distribution for the given sample proportion?
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (Use a table or technology.) (a) What are the mean and standard deviation of the x sampling distribution? Describe the shape of the x sampling distribution. The shape of sampling distribution is-Select- (b) What is the approximate probability that will be within 0.5 of the population mean? (Round your answer to four decimal places.) (c) What is the...
A random sample of size 39 is to be selected from a population that has a mean μ = 53 and a standard deviation σ of 15. (a) This sample of 39 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. -skewed right -approximately normal -skewed left -chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) (c) Find the standard error of...
Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 106 and standard deviation equal to 15. (a) Give the mean and the standard deviation of the sampling distribution of the sample mean x̄. mean= standard deviation= (b) Find the probability that x̄ exceeds 115. (Round your answer to four decimal places.) (c) Find the probability that the sample mean deviates from the population mean μ...
Suppose that a simple random sample of size ?=325 selected from a population has ?=147 successes. Calculate the margin of error for a 95% confidence interval for the proportion of successes for the population, ? . Compute the sample proportion, ?̂, standard error estimate, SE, critical value, ?, and the margin of error, ?. Use a ?- distribution table to determine the critical value. Give all of your answers to three decimal places except give the critical value, ?, to...
A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the xbar sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 15 μ = σ = (b) n = 35 μ = σ = (c) n = 55 μ = σ = (d) n = 110 μ = σ = (e) n = 440...
A random sample of size 32 is to be selected from a population that has a mean μ = 48 and a standard deviation σ of 13. (a) This sample of 32 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed right approximately normal skewed left chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) (c) Find the standard error of...
Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 7. (Use a table or technology.) (a) What are the mean and standard deviation of the sampling distribution of x? - 30 0 - 0.875 Describe the shape of the sampling distribution of x. The shape of the sampling distribution of x is approximately normale (b) What is the approximate probability that x will be within 0.5 of the...