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The numbers 1, 4,7 make up the population. Consider all n=3 samples that can be collected from this population without being replaced. a) mean and standard deviation of the population, b) mean and standard deviation of the sample distribution of means and c) construct the probability histogram of x with replacement


The numbers 1, 4,7 make up the population. Consider all n=3 samples that can be collected from this population without being replaced. a) mean and standard deviation of the population, b) mean and standard deviation of the sample distribution of means and c) construct the probability histogram of x with replacement

A random sample of 40 households has an average water consumption of 29 cubic meters per month with a standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month.


Find the area between 𝑧 = 0 and each of the following.(used z-table).



1. z = 0.85



2. z = 1.27



3. z = 2.86



4. z = −1.05



5. z = −2.96

A.     Using the t-table, give the confidence coefficients for each of the following:

a. n=21, 95% confidence

b. n=26, 99% confidence

B.     Compute the population proportion interval estimate given , and the confidence level.

a. n=420;p-hat=0.61, 95% confidence

b. n=960;p-hat=0.17, 99% confidence

C.     Estimate the interval for the population proportion from each of the following. Then, interpret the results.

a. x=610, n=1050, 95% confidence

b. x=734, n=1540, 99% confidence



The number of driving miles before a certain type of tire begins to show wear is on the average 18,200 miles with a standard deviation σ = 3,500 miles. If Jack Car Rental Agency buys 25 of these tires for replacement purposes and parts each one on a different car, compute the mean μ x̅ and standard deviation σ x̅ of the sampling distribution of the sample means.




In Two independent tosses of an unbiased coin the sample space set contains ….elements

  1. 4
  2. 3
  3. 2
  4. 1

The significance level is the risk of:

  1. Rejecting Ho when Ho is correct
  2. Rejecting Ho when H1 is correct
  3. Rejecting H1 when H1 is correct
  4. Accepting Ho when Ho is correct

In hypothesis testing the type of the test to be used (one or two tailed) is determined by


The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hours and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2?


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