As the degrees of freedom increase, the Student's t-distribution:

Correct answer: Approaches the standard normal distribution.

Explanation

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Other questions

Question 1

Which of the following best describes a simple random sample?

Question 2

In stratified random sampling, how are samples drawn?

Question 3

Which sampling method involves dividing the population into subsets and assuming each subset is representative of the overall population?

Question 4

What is the primary difference between one-stage and two-stage cluster sampling?

Question 5

Which of the following is an example of non-probability sampling?

Question 6

Sampling error is best defined as:

Question 7

According to the Central Limit Theorem, the sampling distribution of the sample mean will be approximately normal if:

Question 8

The Central Limit Theorem states that the mean of the distribution of sample means is equal to:

Question 9

If a population has a mean of 50 and a standard deviation of 10, what is the standard error of the sample mean for a sample size of 25?

Question 10

When the population standard deviation is unknown, the standard error of the sample mean is estimated by:

Question 11

A sample of 100 observations has a standard deviation of 20. The standard error of the sample mean is:

Question 12

As the sample size increases, what happens to the standard error of the sample mean?

Question 13

An estimator is considered unbiased if:

Question 14

Which property of an estimator refers to having the smallest variance among all unbiased estimators?

Question 15

A consistent estimator is one where:

Question 16

A point estimate is best described as:

Question 17

A confidence interval is constructed using which of the following formulas?

Question 18

For a normal distribution, the reliability factor for a 90 percent confidence interval is approximately:

Question 19

The reliability factor for a 95 percent confidence interval using the standard normal distribution is:

Question 20

A sample of 64 observations has a mean of 20 and a population standard deviation of 4. What is the 95 percent confidence interval for the population mean?

Question 21

When constructing a confidence interval for the population mean of a normal distribution with unknown variance, which statistic should be used?

Question 22

The degrees of freedom for a t-statistic calculated from a sample of size n is:

Question 23

Compared to the standard normal distribution, the Student's t-distribution has:

Question 25

If a population is nonnormal and the variance is unknown, which test statistic is appropriate for a large sample (n > 30)?

Question 26

If sampling from a nonnormal distribution with unknown variance and a small sample size (n < 30), which test statistic is available?

Question 27

The Jackknife method of resampling involves:

Question 28

The Bootstrap method involves:

Question 29

Data snooping bias occurs when:

Question 30

Survivorship bias is a form of:

Question 31

Which bias occurs when a study tests a relationship using sample data that was not available on the test date?

Question 32

Time-period bias results when:

Question 33

A mutual fund database that only includes funds currently in existence likely suffers from:

Question 34

A sample has a mean of 5 percent and a standard deviation of 10 percent. If the sample size is 100, what is the standard error of the sample mean?

Question 35

With a sample size of 200 and a standard deviation of 20 percent, the standard error is 1.4 percent. If the sample size increases, the standard error will:

Question 36

In a random sample of 50 items with a known population standard deviation, the standard error is 2. If the sample size is increased to 200, the new standard error will be:

Question 37

If a confidence interval is 95 percent, the significance level (alpha) is:

Question 38

Using a z-table, the probability that a standard normal random variable is less than -1.96 is:

Question 39

For a t-distribution with 29 degrees of freedom, the critical value for a 95 percent confidence interval is 2.045. A sample of 30 has a mean of 2 and a standard deviation of 20. The confidence interval is closest to:

Question 40

Systematic sampling involves:

Question 41

Which sampling method is often used in bond indexing to approximate the index without purchasing every bond?

Question 42

In the context of sampling distributions, the standard error decreases when:

Question 43

When using the t-distribution, if the degrees of freedom increase, the confidence interval for a given significance level will:

Question 44

A 99 percent confidence interval using the z-statistic includes the mean plus or minus:

Question 45

Suppose a researcher tests a trading rule using the same database repeatedly until a significant result is found. This is an example of:

Question 46

Using a price-to-book ratio based on year-end prices and year-end book values (available months later) to test a trading strategy is an example of:

Question 47

If a study covers a time period where a fundamental structural change occurred (e.g., changing inflation dynamics), the study may suffer from:

Question 48

Convenience sampling is best described as:

Question 49

Which of the following is NOT a desirable property of an estimator?

Question 50

To calculate the standard error of the sample mean when the population variance is known, one divides the population standard deviation by: