# Intro To Statistics 1 (STA 2023)

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Question 1

2 / 2 pts

Question 2

1 / 1 pts

The binomial distribution is an example of a distribution for a discrete random variable.

Question 3

Original Score: 1 / 1 pts Regraded Score: 1 / 1 pts

This question has been regraded.

The shape of the binomial distribution is always symmetric.

Question 4

1 / 1 pts

A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 3 shots. Let X = the number of shots that he makes. What is the sample space for X?

Question 5

1 / 1 pts

A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 5 shots. Let X = the number of shots that she makes. What is the mean for X?

Question 6

0 / 1 pts

A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she takes 5 shots. Let X = the number of shots that she makes. What is the standard deviation for X?

Question 7

1 / 1 pts

A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she takes 3 shots. Let X = the number of shots that she makes. What is the probability that she makes 0 shots?

Question 8

A basketball player makes 60% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 4 shots. Let X = the number of shots that he makes. What is the probability that he makes 3 shots?

Question 9

Using the Binomial Distribution Applet answer the following question, A basketball player makes 40% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 3 shots. Let X = the number of shots that he makes. What is the probability that he makes 2 shots or less?

**Module 12: Quiz
**

Question 1

Go to artofstat.com, click on WebApps and open the Sampling Distribution for the Sample Mean for continuous variables (NOT discrete). Under Population Distribution the default is Skewed, with a skeweness level 2. Note the mean and standard deviation given on the graph. Which of the following statements is true?

Question 2

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Skewed, with a skeweness level 2. Under “Select sample size (n)” the default is 20. Under “Select how many samples (of

size n)

Question 3

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Skewed, with a skeweness level 2. Under “Select sample size (n)” the default is 20. Under “Select how many samples (of size n) you want to simulate drawing from the population”, make sure the button

Question 4

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Skewed, with a skeweness level 2. Under “Select sample size (n)” the default is 20. Under Select how many samples (of size n) you want to simulate drawing from the population, CHANGE this to 10,000 samples. Click on Draw Sample(s) ONCE. Imagine we are collecting data on people’s salaries. Look at the bottom graph with the

Sampling Distribution of the Sample Mean. What does it represent?

Question 5

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Uniform.

Under “Select sample size (n)” change the sample size to 2. Under Select how many samples (of size n) you want to simulate drawing from the population, CHANGE this to 10,000 samples. Click on Draw Sample(s) ONCE.

Look at the bottom graph with the Sampling Distribution of the Sample Mean. Now, look at the following sample sizes 5, 10, 15, and 40. What happens overall to the shape of the sampling distribution of the sample mean as n

was increased?

Question 6

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Skewed, with a skewness level 2.

Question 7

If n is greater than 30 or if the original population is normally distributed, what is the approximate shape of the sampling distribution of the sample mean?

Question 8

What is the mean of the sampling distribution of the sample mean?

Question 9

What is the standard error of the sampling distribution of the sample mean?

Question 10

As of December 2016, the population distribution of physician’s assistance salaries in Bradenton was right skewed with a mean of $93489. Which of the following statements are true?

Question 2

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Skewed, with a skeweness level 2. Under “Select sample size (n)” the default is 20. Under “Select how many samples (of size n) you want to simulate drawing

Question 3

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the default Population Distribution is Skewed, with a skeweness level 2. Under “Select sample size (n)” the default is 20. Under “Select how many samples (of size n) you want to simulate drawing from the population”, make sure the button with 1 sample is selected. Now click on Draw Sample(s) – two new graphs will appear.

On the middle graph labeled Data Distribution there is a histogram, a blue triangle labeled x-bar and a red circle labeled mu. Now click AGAIN on Draw Sample(s) a FEW times and notice what happens to x-bar and mu. Also notice that each time you draw a sample a new point gets added to the bottom graph. Which of the following statements is correct?

Question 5

On the Sampling Distribution for the Sample Mean (continuous var) app in artofstat.com, the change the Population Distribution to Bimodal Shape 2. Under “Select sample size (n)” change the sample size to 2. Under Select how many samples (of size n) you want to simulate drawing from the population, CHANGE this to 10,000 samples. Click on Draw Sample(s) ONCE. Look at the bottom graph with the Sampling Distribution of the Sample Mean.

Now, look at the following sample sizes

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