A 95% confidence interval for a population mean is (12.5, 17.5). What does this mean?

We are 95% confident the true population mean lies between 12.5 and 17.5

Which of the following statements is true about the correlation coefficient r?

It measures the strength and direction of a linear relationship

A residual plot for a linear regression model shows a clear curved pattern. What does this suggest about the model?

There is a non-linear relationship between the variables

Which of the following scenarios can be modeled by a binomial distribution?

Tossing a coin 5 times and counting the number of heads

A regression output gives the slope of the line as 2.5. What does this mean in context?

As x increases by 1, y increases by 2.5

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Stats Project

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Answers

1
A teacher randomly selects 10 classes and surveys all students in those classes. What type of sampling method is this?
Convenience Sample
Simple Random Sample
Cluster Sample
Stratified random sample
2
If the p-value of a test is 0.03 and the significance level is 0.05, what is the correct conclusion?
There is not enough evidence against the null
Fail to reject the null hypothesis
Reject the null hypothesis
Increase the sample size
3
A 95% confidence interval for a population mean is (12.5, 17.5). What does this mean?
We are 95% confident the true population mean lies between 12.5 and 17.5
95% of the population values lie within this interval
95% of samples will have means in this interval
The sample mean is guaranteed to lie within this interval
4
Which of the following statistics is resistant to outliers?
Range
Standard Deviation
Median
Mean
5
Which of the following statements is true about the correlation coefficient r?
It can be larger than 1
It measures the strength and direction of a linear relationship
It is affected by units of measurement
It must always be positive
6
A residual plot for a linear regression model shows a clear curved pattern. What does this suggest about the model?
The residuals are normally distributed
There is a non-linear relationship between the variables
The correlation is negative
The linear model is appropriate for the data
7
Patients are randomly assigned to receive either the medication or a placebo. This study is:
Observational
Stratified
Single-Blind
Experimental
8
Which of the following scenarios can be modeled by a binomial distribution?
Rolling a die until a 6 appears
Drawing cards from a deck without replacement
Measuring the weights of 10 randomly selected apples
Tossing a coin 5 times and counting the number of heads
9
A regression output gives the slope of the line as 2.5. What does this mean in context?
As x increases by 1, y increases by 2.5
The y-intercept is 2.5
The correlation is 2.5
As x increases by 2.5, y increases by 1
10
You flip a fair coin three times. What is the probability of getting exactly two heads?
5/8
1/8
3/8
1/2

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