Stats Central Limit Theorem and Normality

2

1

If the population standard deviation is 18, and a sampling distribution of sample means has a standard deviation of 3, how large is the sample size?

15

6

54

36

1

Which of the following is a true statement?

As sample size increases, the sample standard deviation increases.

As sample size increases, the sample standard deviation decreases.

As sample size increases, the sample mean decreases.

As sample size increases, the sample mean increases.

1

2

1

The population mean
and the standard deviation
. A sampling distribution is made with sample sizes of 70. What is the probability of a sample mean
being between 224 and 225?

7.44%

10.21%

6.54%

12.84%

1

The heights of fully grown trees of a specific species are normally distributed, with a mean of 76 feet and a standard deviation of 7.25 feet. Random samples of 12 trees are drawn from the population to create a sampling distribution. Which graph below shows this sampling distribution?

null

2

4

The test average in a chemistry class is
, and a sample mean distribution is made with sample standard deviation of
. Match the shaded areas below with the probabilities they describe.

Stavka koja se može prevući		Odgovarajuća stavka
The probability that the sample has a mean within 5 points of the population mean.
The probability that the sample has a mean beyond one standard deviation of the population mean.
The probability that the sample has a mean that passed the test.
The probability that the sample has a mean that failed the test.

1

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.
What is the probability that a randomly selected homeowner has house repairs of less than $1400 during the year?

34.5%

2.56%

17.74%

50%

1

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.
A sample of 25 homeowners is made. What is the probability that this sample of homeowners has an average of house repairs of less than $1400 during the year?

2.56%

17.74%

34.5%

50%

3

Match the definition with the description and symbol.

Stavka koja se može prevući		Odgovarajuća stavka
Average of one small subgroup.		Mean of the population,
Average of many different subgroups.		Mean of the sample,
Average of the entire group being studied.		Mean of the sample distribution,

Stats Central Limit Theorem and Normality

If the population standard deviation is 18, and a sampling distribution of sample means has a standard deviation of 3, how large is the sample size?

Which of the following is a true statement?

The population mean and the standard deviation . A sampling distribution is made with sample sizes of 70. What is the probability of a sample mean being between 224 and 225?

The heights of fully grown trees of a specific species are normally distributed, with a mean of 76 feet and a standard deviation of 7.25 feet. Random samples of 12 trees are drawn from the population to create a sampling distribution. Which graph below shows this sampling distribution?

The test average in a chemistry class is , and a sample mean distribution is made with sample standard deviation of . Match the shaded areas below with the probabilities they describe.

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.What is the probability that a randomly selected homeowner has house repairs of less than $1400 during the year?

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.A sample of 25 homeowners is made. What is the probability that this sample of homeowners has an average of house repairs of less than $1400 during the year?

Match the definition with the description and symbol.

If the population standard deviation is 18, and a sampling distribution of sample means has a standard deviation of 3, how large is the sample size?

Which of the following is a true statement?

The population mean and the standard deviation . A sampling distribution is made with sample sizes of 70. What is the probability of a sample mean being between 224 and 225?

The heights of fully grown trees of a specific species are normally distributed, with a mean of 76 feet and a standard deviation of 7.25 feet. Random samples of 12 trees are drawn from the population to create a sampling distribution. Which graph below shows this sampling distribution?

The test average in a chemistry class is , and a sample mean distribution is made with sample standard deviation of . Match the shaded areas below with the probabilities they describe.

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.What is the probability that a randomly selected homeowner has house repairs of less than $1400 during the year?

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.A sample of 25 homeowners is made. What is the probability that this sample of homeowners has an average of house repairs of less than $1400 during the year?

Match the definition with the description and symbol.

The population mean
and the standard deviation
. A sampling distribution is made with sample sizes of 70. What is the probability of a sample mean
being between 224 and 225?

The test average in a chemistry class is
, and a sample mean distribution is made with sample standard deviation of
. Match the shaded areas below with the probabilities they describe.

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.
What is the probability that a randomly selected homeowner has house repairs of less than $1400 during the year?

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.
A sample of 25 homeowners is made. What is the probability that this sample of homeowners has an average of house repairs of less than $1400 during the year?

The population mean
and the standard deviation
. A sampling distribution is made with sample sizes of 70. What is the probability of a sample mean
being between 224 and 225?

The test average in a chemistry class is
, and a sample mean distribution is made with sample standard deviation of
. Match the shaded areas below with the probabilities they describe.

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.
What is the probability that a randomly selected homeowner has house repairs of less than $1400 during the year?

The average cost for homeowner to make repairs to their house each year is $1615, with a standard deviation of $550.
A sample of 25 homeowners is made. What is the probability that this sample of homeowners has an average of house repairs of less than $1400 during the year?