M=28; SD= 4; N = 49 you need a 95% CI to estumate a population mean....
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M=28; SD= 4; N = 49 you need a 95% CI to estumate a population
mean....
A sample of size n = 49 is selected from a population with mean E(X) =...
A sample of size n = 49 is selected from a population with mean E(X) = 58 and standard deviation SD(X) = 22. The expected value E(x) and standard deviation SD(x) of the sampling distribution of the sample mean x are:_______________ A) 58 and 0.67 respectively B) 58 and 22, respectively C) 58 and 9.88 respectively D) 58 and 3.14, respectively E) 58 and 0.45 respectively
A random sample of n=49 observations is drawn from a population with a mean equal to...
A random sample of n=49 observations is drawn from a population with a mean equal to 49 and a standard deviation equal to 28. a. Find the probability that x over bar x is less than 41. b. Find the probability that x over bar x is greater than 59. c. Find the probability that x over bar x falls between 41 and 57 a. The probability that x over bar x is less than 41 is _______(Round to three...
A variable of a population has a mean of 100 and a standard deviation of 28....
A variable of a population has a mean of 100 and a standard deviation of 28. Consider the sample distribution of samples means of sample size 49. a. What is the mean of sample means? b. What is the standard deviation of the sample means? c. Is the distribution of sample means normal? Why or why not? Do we need to know if the variable in question is normally distributed in the population? Why or why not?
1. If n=28, (x-bar)=49, and s=6, find the margin of error at a 95% confidence level....
1. If n=28, (x-bar)=49, and s=6, find the margin of error at a 95% confidence level. Give your answer to two decimal places. 2. In a survey, 10 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $39 and standard deviation of $8. Find the margin of error at a 90% confidence level. Give your answer to two decimal places. 3. If n=20, (x-bar)=50, and s=20, construct...
Suppose you take a random sample of 30 individuals from a large population. For this sample, the sample mean is 4.2 and sample variance is 49. You wish to estimate the unknown population mean µ. (a) C...
Suppose you take a random sample of 30 individuals from a large population. For this sample, the sample mean is 4.2 and sample variance is 49. You wish to estimate the unknown population mean µ. (a) Calculate a 90% confidence interval for µ. (b) Calculate a 95% confidence interval for µ. (c) Based on (a) and (b), comment on what happens to the width of a confidence interval (increase/decrease) when you increase your confidence level. (d) Suppose your sample size...
1. A random sample of size n is drawn from a population that is normally distributed...
1. A random sample of size n is drawn from a population that is normally distributed with a standard deviation of 8. The sample mean is found to be 50. 1.a) Construct a 98% confidence interval (CI) for the population mean uif the sample size is 16. The critical value used is The (margin of) error for the 98% confidence interval (C.I.) is The resulting Cl is 1.b) Construct a 95% confidence interval for the population mean u if the...
Construct a 95% confidence interval to estimate the population mean using the data below. What assumptions...
Construct a 95% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population? x̅ = 38, s = 7.9, n = 24 1) The 95% confidence interval for the population mean is from a lower limit of ___ to an upper limit of ____ 2) What asssumption should be made a) The population follows the normal probability distribution b) The population follows the Student's t-distribution c) The population distribution is...
Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a...
Suppose you construct a 95% confidence interval estimate of the true population mean by conducting a random sample of size n=100. Your sample mean x (with a bar over it) = 80.5 and your calculated maximum error of the estimate is E = 3.5. What does this suggest? Circle answer. a. in 5% of all samples of this size, the mean is more than 84, b. in 95% of all samples of this size, the mean is at least 77,...
Suppose you plan to take an SRS from a population of men to determine the mean...
Suppose you plan to take an SRS from a population of men to determine the mean height for that population. Suppose you know that the standard deviation of the population distribution is ? = 2.8 inches. 1. What would be your margin of error for a 90% level of confidence if you were planning to select 36 men for your sample? 2. What would be your margin of error for a 95% level of confidence if you were planning to...
A random sample of n=49 observations is drawn from a population with a mean equal to15...
A random sample of n=49 observations is drawn from a population with a mean equal to15 and a standard deviation equal to 14. a. Give the mean and standard deviation of the (repeated) sampling distribution x overbarx. b. Describe the shape of the sampling distribution of x overbarx. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x overbarxequals=12.5. d. Calculate the standard normal z-score corresponding to a value of...
1. A random sample of size n is drawn from a population that is normally distributed with a standard deviation of 8. The sample mean is found to be 50. 1.a) Construct a 98% confidence interval (CI) for the population mean uif the sample size is 16. The critical value used is The (margin of) error for the 98% confidence interval (C.I.) is The resulting Cl is 1.b) Construct a 95% confidence interval for the population mean u if the...
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