1) Problem #PRAJBJB "PRAJBJB - 239538 - It's seni..." |
A)
It's senior year and college essays are due! Here are hours collected from 20 students spent on writing their college essays:
Which of the following graphs displays the correct stem-and-leaf for the data above? A)
B)
C)
D)
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B)
Find the median (M) of the dataset. |
C)
Calculate Q1. |
D)
Calculate Q3. |
E)
Calculate IQR. |
2) Problem #PRAKFTQ "PRAKFTQ - 273433 - An study was cond..." |
A)
A study was conducted using traffic data. The study found that the probability that a driver goes through a red light to be 0.10. Further analysis found that the probability of a car accident given that a driver goes through a red light to be 0.7, while the probability that a driver gets into an accident given that they don't go through a red light to be 0.10. Note on notation: "R" represents a car going through a red light while "A" represents a car getting into an accident. All underlined letters represent probabilities. Click here if you can't see the image. STRONG SUGGESTION: THIS PROBLEM HAS 11 QUESTIONS AND IT IS HIGHLY RECOMMENDED THAT YOU RECREATE THE ABOVE TREE DIAGRAM AND FILL IN THE LETTERS B THROUGH G. THIS WILL GREATLY IMPROVE YOUR UNDERSTANDING OF THE PROBLEM WHILE MAKING THE PROBLEM GO BY FASTER. Refer to the tree diagram found above, all underlined letters represent probabilities, what is the value of B? Round answer to the nearest hundredth. © STATS4STEM.ORG |
B)
Refer to the tree diagram found above, what is the value of C? Round answer to the nearest hundredth. |
D)
Refer to the tree diagram found above, what is the value of D? Round answer to the nearest hundredth. |
F)
What is the probability a random car goes through a red light and gets into an accident? Link to tree diagram. |
G)
What is the probability a random car doesn't go through a red light and gets into an accident? Round answer to the nearest hundredth. Link to tree diagram. |
H)
What is the probability a random car gets into an accident? Round answer to the nearest hundredth. Link to tree diagram. |
I)
What is the probability that a car that was in an accident drove through a red light? Round answer to the nearest hundredth. Link to tree diagram. |
J)
What is the probability a random car doesn't get into an accident? Round answer to the nearest hundredth. Link to tree diagram. |
K)
Given that a car did not get into an accident, what is the probability that it went through a red light? Round answer to the nearest hundredth. Link to tree diagram. |
3) Problem #PRAJBX3 "PRAJBX3 - 239933 - X~N(300,25) Y~N(4..." |
A)
X~N(300,25) Y~N(400,34) What is the mean of Z? © STATS4STEM.ORG |
B)
What is the standard deviation of Z? Round answer to the nearest hundreth. |
C)
X~N (300, 25) Y~N (400, 34) Z=X + Y What is P(Z<629)? Round answer to the nearest hundreth. Link to z-table. |
D)
What is P(Z > 786)? Round answer to the nearest hundreth. |
E)
What is the probability Z is less than 638 or greater than 752? Round answer to the nearest hundreth. |
4) Problem #PRAJ8HV "PRAJ8HV - Confidence Intervals - sigma known - EJS" |
A)
A simple random sample (SRS) of 54 adults was taken to see how long it takes to put on 1 shoe and tie the lace. The recorded data showed that the mean time was 11 seconds. Assume the distribution for the population is normal, and σ = 1.5 seconds. We are going to calculate the 95% confidence interval for the mean time in seconds that it takes adults to put on 1 shoe and tie the lace. a) First, what is the number that represents the point estimate , or statistic, for this problem? © STATS4STEM.ORG |
B)
What conditions must be met before constructing a confidence interval for μ? Check ALL that apply. |
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D)
Now, calculate the margin of error for this problem. Round answer to nearest hundredths. |
E)
Now, lets go ahead and calculate the 95% confidence interval. The inteval can be broken into a lower limit and an upper limit. (Lower Limit, Upper Limit) What is the Lower Limit? Round answer to the nearest hundredths. |
F)
Now, lets go ahead and calculate the upper limit of the 95% confidence interval. Round answer to the nearest hundredths. |
G)
Which of the following answers is the most appropriate interpretation of the 95% confidence interval? |
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H)
If one holds the confidence level constant at 95%, but wishes to reduce the margin of error to just 0.35, calculate the required sample size n that would be required. |
5) Problem #PRAJH7K "PRAJH7K - 245932 - If the correlatio..." |
If the correlation of a set of data is 0, what does this tell you about the data? © STATS4STEM.ORG |
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