Chapter 5: Discrete Probability Distributions
Chapter 6: The Normal Distribution
Chapter 8: Hypothesis Testing
Chapter 10: Correlation and Regression
Mystery Box
100
What are the two requirements (properties) for a probability distribution?
1) The sum of probabilities in sample space = 1 and 2) The probability of each event must be between 0 and 1, inclusive.
100
What are the mean and standard deviation of the standard normal distribution?
Mean = 0 and St. dev = 1
100
If the population standard deviation is known, which distribution do we use to calculate the critical value(s)?
Standard normal distribution
100
A correlation coefficient close to -1 indicates this type of relationship.
Negative linear
100

Name of the PLTL Leader

Marielle Dondon

Diana Macias

200
Using the binomial probability formula, compute the probability of 8 successes if n=35 and p=0.17. (The probability must be accurate to the fourth decimal place.)
0.1073
200
What is the area under the standard normal to the right of z=1.15?
0.1251
200
Suppose you have a random sample of 20 subjects. If you are doing a left tailed hypothesis test with a significance level of 0.05, where the population standard deviation is not known, what is the critical value?
t = -1.729
200
For a hypothesis test for the correlation coefficient, what are the null and alternative hypotheses we use?
H_0: rho = 0 and H_1: rho does not equal 0
200
What conditions must be met in order to use the normal distribution to approximate the binomial distribution?
n*p is greater than or equal to 5 and n*q is greater than or equal to 5
300

Construct a probability distribution for the number of heads flipped if a fair coin is flipped 3 times.

X=0, P(X)=1/8 X=1, P(X)=3/8 X=2, P(X)=3/8 X=3, P(X)=1/8

300

Find the probability that X is between 16 and 20 where X is normally distributed with a mean of 17 and a standard deviation of 2.

0.6247

300
Suppose you have a random sample of 20 subjects. If you are doing a right tailed hypothesis test with a significance level of 0.10, where the population standard deviation is known, what is the critical value?
z = 1.28
300
A study was conducted by a retail merchant to determine the relation between weekly advertising expenditures (x) and sales (y). The equation of the regression line was determined to be y'=343.706+3.221x. Predict the weekly sales when advertising costs are $35. (Round to the nearest dollar.)
$456
300
For a set of data, it is generally seen that as the variable x decreases, the variable y decreases. This illustrates what type of relationship?
Positive linear
400
Find the variance for the following probability distribution: X=0, P(X)=0.3 X=2, P(X)=0.36 X=4, P(X)=0.34
2.5536
400
Scores on the ACT test have a distribution that is approximately normal with mean 21.1 and standard deviation 5.1. A sample of 80 ACT scores is randomly selected. Using the central limit theorem, find the probability that the sample mean is less than 20.
0.0268
400
Suppose that a psychologist wishes to test the claim that the average reaction time to a certain stimulus is more than 6 seconds. He performed an experiment on a random sample of 25 subjects. The mean reaction time for the sample was 6.2 seconds with a sample standard deviation of 2.8 seconds. You are going to conduct a hypothesis test at a significance level of 0.05. What is the test value (rounded to the nearest hundredth) for this hypothesis test?
t = 0.36
400
For a certain sample of size 33, Sum(X)=1104, Sum(Y)=1124, Sum(XY)=41,355, Sum(X^2)=41,086, and Sum(Y^2)=41,998. Compute the correlation coefficient for the sample accurate to the third decimal place.
r = 0.955
400
In 2012, 1.2% of athletes participating in a varsity college sport were ice hockey players. If a random sample of 100 college athletes is taken, find the probability that 3 of the athletes are ice hockey players. (Express answer accurate to the 4th decimal place.)
0.0866
500
In the game show "Deal or No Deal", Ebenezer has a chance to win one of these 5 equally likely prizes: $75, $300, $75,000, $500,000, and $1,000,000. Find the expected value of Ebenezer's winnings.
$315,075
500
There is an 80% chance that a prospective employer will check the educational background of a job applicant. If 64 job applications are randomly selected, find the probability that at least 50 of the applicants have their backgrounds checked.
0.7019
500
The significance level of a hypothesis test represents what probability?
The probability of rejecting the null hypothesis if it's true
500
I want to know whether there is a significant relationship between the average weekly temperature and the number of walks my dog, Vada, gets per week. I recorded data for a random sample of 15 weeks. From the data, I calculated the correlation coefficient to be r=0.796. If I wanted to do a hypothesis test to determine if the relationship between these two variables is significant, what is the test value (rounded to the nearest hundredth)?
t = 4.74
500
Cassie's average commute time from home to FDLTCC is 25 minutes with a standard deviation of 4.6 minutes. Assuming the distribution of trip times in normally distributed, find the time above which we would find the slowest (longest) 15% of trips. (Round to the nearest minute.)
30 minutes
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