Why is a binomial distribution a reasonable approximation of a sampling distribution for a population proportion when the population is large relative to the sample size?
Why is a binomial distribution a reasonable approximation of a sampling distribution for a population proportion...
10 The sampling distribution of the population proportion is based on a binomial distribution. What condition must be met to use the normal approximation for the confidence interval? Show work in excel.
Presume you are sampling to estimate a proportion. When the sample size is large relative to the population size (i.e above 20%), will the binomial distribution’s estimation of the sampling distribution’s variance generally be accurate, too big, or too small?
Can a normal approximation be used for a sampling distribution of sample means from a population with μ=78 and σ=14, when n=81? why or why not?
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6. The sampling distribution of the sample proportion In 2007, about 30% of new-car purchases in California were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in California can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in California...
In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case. (a) A random sample of students in a fitness study. X is the mean systolic blood pressure of the sample. Yes, a binomial distribution is reasonable. X is a mean of the binomial distribution. No, a binomial distribution is not reasonable. Binomial distributions cannot be used with random samples. Yes, a binomial distribution is reasonable....
Can a normal approximation be used for a sampling distribution of sample means from a population with μ=40 and σ=8 when n=9?
6. The sampling distribution of the sample proportion Aa Aa In 2007, about 14% of new-car purchases in New York were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in New York can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in New York that are financed with a home equity...
6. The sampling distribution of the sample proportion Aa Aa In 2007, about 14% of new-car purchases in New York were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in New York can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in New York that are financed with a home equity...
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.)
For the following, circle true or false and if false, explain why. A) The sampling distribution of sample means is normally distributed when the population has any distribution and the sample size is less than or equal to 30. TRUE or FALSE B) The sampling distribution of sample means is normally distributed when the population is normally distributed and the sample is any size. TRUE or FALSE