Elaine’s Famous Quilts sells, surprisingly, quilts. Elaine, always wishing to understand

Question:The standard error of the mean for a sample of 100 is 30. In order to cut the standard error of the mean to 15, we would

Question:A probability distribution is an equation that

Question:Elaine’s Famous Quilts sells, surprisingly, quilts. Elaine, always wishing to understand her process and improve quality took a long term assessment of her quilts and determined that, on average, there were 3 quilting errors per quilt. Elaine decided that this was OK as long as she understood the probability of getting more than 4 errors per quilt. As the statistics guru working for Elaine, which distribution should you use to determine that probability?

Question:The confidence interval obtained will always correctly estimate the population parameter.

Question:The next state lottery will have the following payoffs possible with their associated probabilities.

You buy a single ticket. (note, answers may be rounded slightly)

The probability that you win at least $100.00 is ________

Question:The width of a confidence interval estimate for a proportion will be

Question:For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770. The value of Z is

Question:The standard error of the proportion will become larger

Question:A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale. The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold. A 95% confidence interval (5.623 to 6.377) was established based on these results.

If the population had consisted of 10,000 stores, the confidence interval estimate of the mean would have been wider in range.

Question:The Central Limit Theorem is important in statistics because

Question:The largest value that a Poisson random variable X can have is n.

Question:A certain type of new business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent).

The probability that all 3 businesses succeed is ________

Question:It is desired to estimate the average total compensation of CEOs in the Service industry. Data were randomly collected from 18 CEOs and the 97% confidence interval was calculated to be ($2,181,260, $5,836,180). Which of the following interpretations is correct?

Question:A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale. The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold. A 95% confidence interval (5.623 to 6.377) was established based on these results.

95% of the stores have sold between 5.623 and 6.377 lawnmowers.

Question:In a binomial distribution

Question:The probability that a standard normal random variable, Z, is between 1.50 and 2.10 is the same as the probability Z is between -2.10 and -1.50.

Question:The Poisson distribution can be used to model a continuous random variable.

Question:A certain type of new business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent).

The probability that exactly 1 business succeeds is ________

Question:The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes. A random sample of 16 cars is selected. What is the probability that the sample mean will be between 39 and 48 minutes?

Question:A certain type of new business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent).

The probability that at least 1 business succeeds is ________

Question:The connotation "expected value" or "expected gain" from playing roulette at a casino means

Question:The amount of time it takes to complete an examination has a skewed-left distribution with a mean of 65 minutes and a standard deviation of 8 minutes. If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 71 minutes is approximately 0.

Question:The standard error of the mean

Question:If the mean of a sampling distribution is equal to the parameter it is estimating, then we say that sampling distribution is _____________________.

Question:Sampling distributions describe the distribution of

Question:Sampling distributions describe the distribution of

Question:The t distribution is used to develop a confidence interval estimate of the population mean when the population standard deviation is unknown.

Question:A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.

The confidence interval goes from ________ to ________

Question:The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. So, 90% of the products require more than __________ minutes for assembly.

Question:The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.


The mean or expected value for the number of retransmissions is ________

Question:The Central Limit Theorem allows the use of the Normal distribution to analyze the sample mean if the sample sizes are large enough.

Question:A multiple-choice test has 30 questions. There are 4 choices for each question. A student who has not studied for the test decides to answer all questions randomly. What type of probability distribution can be used to figure out his chance of getting at least 20 questions right?

Question:The confidence interval estimate of the population mean is constructed around the sample mean.

Question:A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale. The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold. A 95% confidence interval (5.623 to 6.377) was established based on these results.

Of all possible samples of 100 stores drawn from the population of 1,000 stores, 95% of the sample means will fall between 5.623 and 6.377 lawnmowers.

Question:Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2, find the probability that X is between 47 and 54.

Question:A quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. The desired length of the insulation is 12 feet. It is known that the standard deviation in the cutting length is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.

Suppose the engineer had decided to estimate the mean length to within 0.03 with 99% confidence. Then the sample size would be ________

Question:The next state lottery will have the following payoffs possible with their associated probabilities.



You buy a single ticket. (note, answers may be rounded slightly)

If you have a winning ticket, the probability that you win at least $100.00 is ________

Question:A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with a mean of 10.5 ounces and a standard deviation of 0.3 ounce. Find the proportion of all jars packaged by this process that have weights that fall below 10.875 ounces.

Question:The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6 outages per year. The probability that there will be exactly 3 power outages in a year is ____________.

Question:Which of the following statements about the sampling distribution of the sample mean is incorrect?

Question:If the population distribution is symmetric, the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 15 observations.

Question:Another name for the mean of a probability distribution is its expected value.

Question:As the sample size increases, the standard error of the mean increases

Question:The next state lottery will have the following payoffs possible with their associated probabilities.

You buy a single ticket. (note, answers may be rounded slightly)

If the ticket you purchased cost $10.00, what is the expected value of your winning (loss)?

Question:The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.


The probability of no retransmissions is ________

Question:If you were constructing a 99% confidence interval of the population mean based on a sample of n = 25 where the standard deviation of the sample s = 0.05, the critical value of t will be

Question:If the population distribution is unknown, in most cases the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 30 observations.

Question:The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.


The probability of at least one retransmission is ________

Question:Which of the following is true about the sampling distribution of the sample mean?

Question:A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Suppose the mean cost of rats used in lab experiments turned out to be $13.00 per week. Interpret this value.

Question:A confidence interval was used to estimate the proportion of statistics students that are females. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642). Based on the interval above, is the population proportion of females equal to 0.60?

Question:If the outcomes of a random variable follow a Poisson distribution, then their

Question:A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale. The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold. A 95% confidence interval (5.623 to 6.377) was established based on these results.

We do not know for sure whether the true population mean is between 5.623 and 6.377 lawnmowers sold.

Question:A certain type of new business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent).

The probability that all 3 businesses fail is ________

Question:The next state lottery will have the following payoffs possible with their associated probabilities.

You buy a single ticket. (note, answers may be rounded slightly)

The probability that you win any money is ________

Question:The true length of boards cut at a mill with a listed length of 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch. What percentage of the boards will be over 125 inches in length?