Show:
Vocab
Z or t?
Critical Values
Mix
Super Bowl
100
This can be found by dividing the population standard deviation by the square root of the sample size.
Standard Error
100
What statistic MUST be present in order for me to use a Z-distribution to form a confidence interval?
Population standard deviation
100

Find the critical value that corresponds to the confidence level 90%..

z=1.645

100
If (99.8, 104.6) is a 90% confidence interval for a sample of basketball fifteen scores, what can you say about the average scores of the population?
That you are 90% sure your interval contains the population mean.
100

What two teams will be playing in the 2022 Super bowl?

LA Rams & Cincinnati Bengals 

200
This is the singular best guess at estimating a population parameter.
Point Estimate
200
Which of these changes when I use a t-distribution as opposed to a Z-distribution: Sample size, confidence level, or critical value?
critical value
200

Find the critical value t corresponding to a 90% confidence level, given the sample size of n=25?

t=1.711

200

What is the number of degrees of the freedom for n=24?

23

200

What teams have won the most Super Bowls?

Pittsburgh Steelers and New England Patriots

300
This is built around a point estimate in an effort to better approximate a population parameter.
Confidence Interval
300

Should I use a t-distribution or a z-distribution? Suppose that you want to find out the average weight of all players on the football team at a particular College. You are able to select ten players at random and weigh them. The mean weight of the sample of players is 198 lbs, with a standard deviation of 11.50 lbs.

t

300

Find the critical value that corresponds to the confidence level 87%.

z=1.51

300

Do you use t score or z score when the sample standard deviation is given?

t score

300

Who won the Super Bowl the year of the infamous “wardrobe malfunction?”

New England Patriots

400
This is added and subtracted from the point estimate in order to construct a confidence interval
Margin of Error
400

Should I use a t-distribution or Z? The average heights of a random sample of 400 people from a city is 1.75 m. It is known that the heights of the population are random variables that follow a normal distribution with a standard deviation of 0.4 m. Determine the interval of 95% confidence for the average heights of the population.

Z

400

Find the critical value t corresponding to a 80% confidence level, given the sample size of n=40.

t=1.304

400

Suppose that you want to find out the average weight of all players on the football team at a particular College. You are able to select ten players at random and weigh them. The mean weight of the sample of players is 198 lbs, with a standard deviation of 11.50 lbs. Construct a 90 percent confidence interval for the population weight, if you presume the players' weights are normally distributed.

We are 90 percent confident that the true population mean of football player weights is between 192 and 204 pounds.

400

Which starting quarterback won Super Bowls with two different teams?

Peyton Manning (Colts and Broncos)

500
This is the number of free choices allowed by my parameter.
Degrees of freedom
500

What three conditions needs to be met to construct a t interval?

Random

10% Condition 

Normal/Large Samples

500

Find the critical value that corresponds to the confidence level 85%

z=1.44

500

If a sample of 36, has a mean of 29, and a standard deviation of 4.3, find a 90% confidence interval for the population mean.

(28.055,29.945)

500

DAILY DOUBLE: How much does the Lombardi Trophy weigh?

7 pounds