Question

In: Statistics and Probability

A. Suppose you have a sample size of 57 with a mean 55 and a population...

A. Suppose you have a sample size of 57 with a mean 55 and a population standard deviation of 12.5. Based on this, construct a 95% confidence interval for the true population mean. Use z = 2 (rather than 1.96) for your calculations.
Give your answers as decimals, to two places
[ , ]

B. You measure 37 textbooks' weights, and find they have a mean weight of 62 ounces. Assume the population standard deviation is 13.6 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Use z = 2 (rather than 1.96) for your calculations.
Give your answers as decimals, to two places
( , )

C. Suppose you have a sample of size 32 with a mean of 72 and a population standard deviation of 6.3. What is the maximal margin of error associated with a 95% confidence interval for the true population mean?
As in the reading, in your calculations, use z = 2.
Give your answer as a decimal, to two places
m = ounces

D. You measure 28 backpacks' weights, and find they have a mean weight of 80 ounces. Assume the population standard deviation is 4.9 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
±± ounces

(Note this is NOT in interval form, so check your answer carefully)

E. You measure the weight of 44 turtles, and find they have a mean weight of 71 ounces. Assume the population standard deviation is 8.8 ounces. Based on this, what is the maximal margin of error associated with a 96% confidence interval for the true population mean turtle weight.

Give your answer as a decimal, to two places

m =  ounces

Solutions

Expert Solution


Related Solutions

Suppose you have a sample of size 30 with a mean of 48 and a population...
Suppose you have a sample of size 30 with a mean of 48 and a population standard deviation of 13.1. What is the maximal margin of error associated with a 95% confidence interval for the true population mean? In your calculations, use z = 2. Give your answer as a decimal, to two places m =  ounces
A random sample of size n = 55 is taken from a population with mean μ...
A random sample of size n = 55 is taken from a population with mean μ = −10.5 and standard deviation σ = 2. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.) b. What is the probability that...
Suppose you have a sample size of n = 20, with a sample mean of 65...
Suppose you have a sample size of n = 20, with a sample mean of 65 and a sample standard deviation of 15. Suppose the population mean is thought to be 50. You want to find out whether your sample mean is different from the population mean. Which test should you use? Select one: a. paired t-test b. two proportion z-test c. one proportion z-test d. two sample t-test e. one sample t-test.
Match the terms with the following descriptions: population sample population size sample size population mean sample...
Match the terms with the following descriptions: population sample population size sample size population mean sample mean variance standard deviation alpha null hypothesis alternative hypothesis degrees of freedom hypothesized mean p-value t-statistic The set of data for ALL individuals or items of interest., e.g. everyone in the world, the entire of Texas, all of our customers, etc. __________ Data you take randomly from the population because it’s too costly or not feasible to measure the entire population. A subset of...
A population is expected to have a mean of 50. A sample of size 64 is...
A population is expected to have a mean of 50. A sample of size 64 is extracted and its mean is 55 with a standard deviation of 32. Required to test the claim at 95% confidence that the population mean is greater than 50. What is the Pvalue?
Suppose that you have a random sample of size n from a population with Gamma density...
Suppose that you have a random sample of size n from a population with Gamma density with α= 3 but unknown β. Write down the likelihood function, and find a sufficient statistic. Find the MLE and the MOM estimators forβ. (Hint: They should be equal.) Then find the MSE for this estimator by finding the bias and the variance. Is it consistent? Is it MVUE? Explain why or why not.
You intend to estimate a population mean μ with the following sample. 92.3 106.7 81.2 57...
You intend to estimate a population mean μ with the following sample. 92.3 106.7 81.2 57 66.5 77.7 83.1 You believe the population is normally distributed. Find the 99.5% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 99.5% C.I. =
Suppose 55% of the doctors in America are dentists. If a random sample of size 405...
Suppose 55% of the doctors in America are dentists. If a random sample of size 405 is selected, what is the probability that the proportion of doctors who are dentists will differ from the population proportion by less than 6%? Round your answer to four decimal places.
You take a simple random sample of size 64 from a population with a mean of...
You take a simple random sample of size 64 from a population with a mean of 100 and a standard deviation of 32. A. The standard error of ഥX is ______________. What is the probability that ഥX will be: B. Less than 110? ___________________ C. Greater than 96? __________________ D. Within 1.7 standard errors of M? ____________ please help
Sample size: 2,2,2,3,4,5 Suppose someone claims that the population mean is 5 days absent (?o: ?...
Sample size: 2,2,2,3,4,5 Suppose someone claims that the population mean is 5 days absent (?o: ? ? 5). What is the alternative hypothesis? Can you reject the null hypothesis at the 5‐percent and 1‐percent levels of significance? Use the critical value, p‐value, and confidence interval approaches both “by hand” and with R. In the “by hand” approach, you can use R (or a statistical table) to get the critical values.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT