Question

We conduct a simple, computerized response time experiment, where participants are instructed to press the space bar as soon as a light flashes on the screen. The resulting response times are heavily right skewed, with a mean of 300 milliseconds and variance of 1000 milliseconds.

If we collect samples of 100 participants at a time, the sampling distribution of the average response time is

Group of answer choices

a.normal

b. right skewed

c. left skewed

d. bimodal

Referring to the scenario from the previous question, what is the mean of the sampling distribution? (round to nearest whole number)

Referring to the scenario from the first question, what is the variance of the sampling distribution? (round to one decimal place)

Referring to the scenario from the first question, what is the standard deviation of the sampling distribution? (round to one decimal place)

Answer 1

(1)

Question:

the sampling distribution of the average response time is

Correct option:

a.       normal

Explanation:
By Central Limit Theorem, the sampling distribution of sample means is normal distribution with mean = mean of the population = and standard deviation = / where is the standard deviation of the population and n is the sample size.

(2)

Question:

Referring to the scenario from the previous question, what is the mean of the sampling distribution?

the mean of the sampling distribution = mean of the population = = 300 milliseconds

So,

Answer is:

300 milliseconds

(3)

Question:

Referring to the scenario from the first question, what is the variance of the sampling distribution

the variance of the sampling distribution = /n = 1000/100 =10.0

So,

Answer is:

10.0

(4)

Question:

Referring to the scenario from the first question, what is the standard deviation of the sampling distribution?

the standard deviation of the sampling distribution =

Answer is:

3.2