A population has a mean
and a standard deviation .Find the mean and standard deviation of the sampling distribution of sample means with a sample size of 51. Round to the nearest tenth if necessary.
Sample mean
Sample standard deviation
A population has a mean
and a standard deviation .Find the mean and standard deviation of the sampling distribution of sample means with a sample size of 247. Round to the nearest tenth if necessary.
Sample mean
Sample standard deviation
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?
Another word for the sample standard deviation is the .
According to the Central Limit Theorem, a sampling distribution with a sample size of or more can be represented by a normal distribution.
Also, if the population is , the sampling distribution can be represented by a normal distribution.
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 population mean
and the standard deviation . A sampling distribution is made with sample sizes of 68. What is the probability of a sample mean being less than 22.2, to the nearest whole percent?If a sample mean in a sample distribution occurs less than of the time, then a sample having that mean is considered very unlikely to occur randomly.
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 amount of meat, in pounds, eaten by citizens of a country during the year is surveyed, and a sampling distribution is created below.
Based on this sampling distribution, the approximate mean of the sample distribution is and the approximate standard deviation of the sample distribution is .
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.| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
The probability that the sample has a mean within 5 points of the population mean. | arrow_right_alt |
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The probability that the sample has a mean beyond one standard deviation of the population mean. | arrow_right_alt |
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The probability that the sample has a mean that passed the test. | arrow_right_alt |
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The probability that the sample has a mean that failed the test. | arrow_right_alt |
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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.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Average of one small subgroup. | arrow_right_alt | Mean of the population, |
Average of many different subgroups. | arrow_right_alt | Mean of the sample, |
Average of the entire group being studied. | arrow_right_alt | Mean of the sample distribution, |
