1) Problem #PRAJRH9 "PRAJRH9 - 252029 - The following box..." |
A)
The following boxplots represent the maximum daily temperature in degrees Fahrenheit at La Guardia Airport. Which month has the greatest median? © STATS4STEM.ORG |
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B)
The 75th percentile is greatest for which month? |
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C)
Below is a numerical summary of the temperature data for the month of May. Based on the data above, any number that is found to be greater than what number will be considered an outlier? In other words, what is the upper threshold number that should be used to determine if a number is an outlier or not. Round answer to the nearest hundredth. |
D)
Below is a numerical summary of the temperature data for the month of July. Based on the data above, any number that is found to be lower than what number will be considered an outlier? In other words, what is the lower threshold number that should be used to determine if a number is an outlier or not. Round answer to the nearest hundredth. |
2) Problem #PRAJBPY "PRAJBPY - 239682 - Using the 68-95-9..." |
Using the 68-95-99.7 rule, find the area between -1 and 2. Round to the nearest hundreths. © STATS4STEM.ORG |
3) Problem #PRAJVCD "PRAJVCD - 255691 - Eat-A-Donut offer..." |
A)
Eat-A-Donut offers the following donut selection: People pay by the gram. The distribution of individual donut weights (in grams) is found below: Powdered ~ N(25, 1) Boston Cream ~ N(29, 1.3) Almond ~ N(26, 1.1) Jelly ~ N(28, 1.2) Vegan ~ N(26.5, 0.8) Glazed ~ N(24, 0.7) A customer walks in and asks for a random donut from the 6 listed above. What is the probability that the randomly chosen donut is a Powdered donut that weighs less than 25 grams? Assume that each of the six donuts has an equally likely chance of being chosen. Round answer to the nearest hundredth. © STATS4STEM.ORG |
B)
A customer orders a random selection of a dozen donuts from the 6 donuts listed above. What is the probability that none of them are Glazed? Assume that each of the six donuts has an equally likely chance of being chosen. Round answer to the nearest hundredth. Note: A dozen = 12 |
C)
You go to Eat-A-Donut and pick up a dozen randomly chosen donuts. As you are heading back to your mom's house, you remember that your mom loves Jelly. Calculate the probability that you have at least 1 jelly donut for your mom. Round answer to the nearest hundredth. |
4) Problem #PRAJBXK "PRAJBXK - 239918 - A cook stacks thr..." |
A)
A cook stacks three pots on top of each other for storage. The height of the first pot is normally distributed with a mean of 5 inches and a standard deviation of .3 inches. The height of the second pot is also normally distributed, and has a mean of 6 inches and a standard deviation of .5 inches. The height of the final pot is normally distributed as well with a mean of 5 inches and a standard deviation of .4 inches. Find the expected value of the height of the stack of pots. © STATS4STEM.ORG |
B)
Find the standard deviation of the height of the stack of pots. |
C)
The cook decides to get a new set of pots. The height of the new pots stacked compare to the old stacked pots height in the following way: New = 2 * Old - 3 Find the new mean of the height of the pots. Remember, with the original pots, STACKED HEIGHT~N(16, 0.71). |
D)
Which distribution would best represent the stack of pots? |
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5) Problem #PRAE9HX "PRAE9HX - 148231 - A ruler manufactu..." |
A)
A ruler manufacturing company has a machine that manufactures rulers that are normally distributed with a mean of 12 inches long and standard deviation of .01 inches. Find the probability that a randomly selected ruler will have a length greater than 12.005 inches. Answer as a decimal rounded to the nearest hundredth. Link to z-table © STATS4STEM.ORG |
B)
Refering to the previous problem, the manufacturing engineer decides to randomly sample 5 rulers to ensure the product is conforming to quality standards. It is expected that the means of the samples will vary from sample to sample. This sampling distribution of the sample means will have which distribution? |
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C)
What is the probability that a random sample of 5 rulers has a mean greater than 12.005? Answer as a decimal rounded to the nearest hundredths. |
D)
Will the probability of getting a mean greater 12.005 increase or decrease if the engineer decides to increase the sample size from 5 to 10? |
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E)
What is the probability that a random sample of 10 rulers has a mean between 12.003 and 12.006? Answer as a decimal rounded to the nearest hundredths. |
6) Problem #PRAJ85P "PRAJ85P - 267015 - Your statistics t..." |
A)
Your statistics teacher wants you to work on a project that finds out the average number of hours of sleep a student gets on a school night. You choose a SRS of 100 students to ask. For each student you ask, there is a 87% chance that you will receive a response. Assume that the 87% response rate is constant for all the students. ______________________________________________________ Is this a binomial setting? © STATS4STEM.ORG |
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B)
What is the number of students that are expected to respond? |
C)
What is the probability that more than 90 students will respond? Round answer to the nearest hundredth. |
D)
What is the probability that exactly 84 students will respond? Round answer to the nearest hundredth. |
E)
What is the probability that at least 79 students will respond? Round answer to the nearest hundredth. |
7) Problem #PRAJ9JN "PRAJ9JN - 267417 - Using the compute..." |
A)
Using the computer output below, calculate A. Round answer to the nearest hundredth. © STATS4STEM.ORG |
B)
What is the sample size for this problem? Hint: The degrees of freedom is provided in the output. |
C)
What is the mean of the residuals for this problem? |
D)
What is the p-value for the hypothesis test below? Round answer to the nearest hundredth. |
8) Problem #PRAJWVZ "PRAJWVZ - 257167 - Using either the ..." |
A)
Using either the TI-83 or another method, calculate the correct p-value for a test with the following Chi-Square test statistic and degrees of freedom. χ2 = 2.71 df = 1 © STATS4STEM.ORG |
B)
Using either the TI-83 or another method, calculate the correct p-value for a test with the following Chi-Square test statistic and degrees of freedom.
χ2 = 16.5 df = 6 |
C)
Using either the TI-83 or another method, calculate the correct p-value for a test with the following Chi-Square test statistic and degrees of freedom.
χ2 = 21.4 df = 11 |
9) Problem #PRAJBTV "PRAJBTV - 239803 - Events A and B ar..." |
Events A and B are mutually exclusive/disjoint. The probability of Event A occurring is 0.37 and the probability of Event B occurring is 0.49. What is P(A and B)? Round answer to the nearest hundredth. © STATS4STEM.ORG |