1) Problem #PRAJYTW "PRAJYTW - 259024 - The figur..." |
A)
The figure above is called a: © STATS4STEM.ORG |
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B)
The purpose of a normal probability plot is to: |
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C)
Please observe the normal probability plot found above for a short period of time. Then answer the following question. We can assume that our data set is approximately normal if the black line is approximately: |
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2) Problem #PRAJGQB "PRAJGQB - 244498 - Which distributi..." |
Which distribution below represents the density curve above? © STATS4STEM.ORG |
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3) Problem #PRAJBNT "PRAJBNT - 239646 - What is the z-sco..." |
What is the z-score for the third quartile of a standard normal distribution? Round answer to the nearest hundredth. Link to z-table © STATS4STEM.ORG |
4) Problem #PRAJBPP "PRAJBPP - 239673 - The test scores f..." |
The test scores for an AP Statistics class have the distribution N(85, 5). How high would a student need to score to be in the top twenty percent? Link to z-table. *** Round answer to the nearest whole number. *** © STATS4STEM.ORG |
5) Problem #PRAJBPK "PRAJBPK - 239670 - If the time it ta..." |
If the time it takes students to get ready in the morning is normally distributed with a mean of 30 minutes and a standard deviation of 5 minutes, find the probability that it takes no less than 20 minutes and no more than 45 minutes for a randomly chosen student to get ready. Round answer to the nearest hundredth. © STATS4STEM.ORG |
6) 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 |
7) Problem #PRAJBPZ "PRAJBPZ - 239683 - Using the 68-95-9..." |
Using the 68-95-99.7 rule, find the area between 2 and 3. Round answer to the nearest hundreths. © STATS4STEM.ORG |
8) Problem #PRAJBPN "PRAJBPN - 239672 - The area under al..." |
The area under all density curves is equal to what? © STATS4STEM.ORG |
9) Problem #PRAJBPQ "PRAJBPQ - 239674 - Suppose that Kraf..." |
Suppose that Kraft’s bags of shredded cheddar cheese are normally distributed with μ = 24 ounces and σ =3 ounces. If Kraft wants to change the standard deviation so that 5% of the bags weigh less than 20 ounces, what would the new standard deviation become? Round answer to the nearest hundreth. Link to z-table. © STATS4STEM.ORG |
10) Problem #PRAJBPR "PRAJBPR - 239675 - The average point..." |
The average points scored per game by high school players is normally distributed with a mean of 13 points and standard deviation of 4 points. Find the number of points one should score to score in the top 5% of all high school players for points scored per game. Round to the nearest whole number. Link to z-table. © STATS4STEM.ORG |
11) Problem #PRAJBPJ "PRAJBPJ - 239669 - Calculate the P(..." |
Calculate the P(X<60). Assume X is be normally distributed with a mean of 50 and a standard deviation of 5. Round answer to the nearest hundredth. Link to z-table. © STATS4STEM.ORG |
12) Problem #PRAJBPG "PRAJBPG - 239667 - The amount of ann..." |
A)
The amount of annual snow fall at a Maine ski resort is normally distributed with a mean of 42 inches and a standard deviation of 3 inches. Link to z-table. a.) Calculate P(X < 41). Round answer to the nearest hundredth. © STATS4STEM.ORG |
B)
b.) Calculate P(X > 46). Round answer to the nearest hundredth. |
C)
c). Calculate P(X < 41 or X > 46). Round to the nearest hundredth. |
13) Problem #PRAJBN7 "PRAJBN7 - 239658 - Tom Brady's touch..." |
Tom Brady's touchdown passes are normally distributed with a μ of 33 and a σ of 2.5. Find P(30.5 < x < 38). Round to the nearest hundredth. © STATS4STEM.ORG |
14) Problem #PRAJBN8 "PRAJBN8 - 239659 - The number of sca..." |
The number of scales on a goldfish are normally distributed. We know that the P(X < 1387)=0.017 and μ=1482. Find σ. Round answer to the nearest hundredth. © STATS4STEM.ORG |
15) Problem #PRAJBNX "PRAJBNX - 239650 - The average numbe..." |
The average number of calories consumed per day is 2000. The distribution is normal and 68% lies in the middle of the distribution between 1850 and 2150. What is the notation for this distribution? © STATS4STEM.ORG |
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16) Problem #PRAJBNW "PRAJBNW - 239649 - Researchers recor..." |
Researchers recorded the time it took various kindergarden students to finish a maze. The data was normally distributed with a mean of 180 seconds and a standard deviation of 8 seconds. Find the z-score for a student that takes 204 seconds to complete the maze. Round answer to the nearest hundredth. © STATS4STEM.ORG |
17) Problem #PRAJBMU "PRAJBMU - 239616 - Does this distrib..." |
Does this distribution appear normal? If not, is it skewed to the left or to the right? © STATS4STEM.ORG |
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18) Problem #PRAJBMR "PRAJBMR - 239613 - In a normal distr..." |
In a normal distribution, what percent of the observations fall within 1 σ of the mean? © STATS4STEM.ORG |
19) Problem #PRAJBM3 "PRAJBM3 - 239623 - Does this d..." |
A)
Does this distribution appear normal? If not, is it skewed to the left or to the right? © STATS4STEM.ORG |
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B)
Estimate the mean of the distribution. |
20) Problem #PRAJBMW "PRAJBMW - 239618 - On a density curv..." |
On a density curve, the equal-areas point is called the __________ and the balance point is call the ___________. © STATS4STEM.ORG |
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21) Problem #PRAJBMN "PRAJBMN - 239610 - What is the area ..." |
22) Problem #PRAJBMP "PRAJBMP - 239611 - The mean and medi..." |
The mean and median of a symmetric distribution are _______________. © STATS4STEM.ORG |
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23) Problem #PRAJBPC "PRAJBPC - 239663 - The length of woo..." |
A)
The length of wood bats in the MLB is normally distributed with a mean of 33.5 and a standard deviation of 0.25. Calculate P(X<33). Round answer to the nearest hundredth. Link to z-table. © STATS4STEM.ORG |
B)
Calculate P(33 < x < 33.6). Round to the nearest hundredth. |
24) Problem #PRAJBPD "PRAJBPD - 239664 - Which color histo..." |
Which color histogram is normally distributed with a mean of 6 and a standard deviation of .78? © STATS4STEM.ORG |
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25) Problem #PRAJBPE "PRAJBPE - 239665 - The number of fea..." |
A)
The number of feathers on a blue jay are normally distributed with a mean of 84 and a standard deviation of 4. a). Calculate P( X > 86). Round answer to the nearest hundredth. Link to z-table. © STATS4STEM.ORG |
B)
b.) Calculate P(X < 78). Round to the nearest hundredth. |
26) Problem #PRAJH5K "PRAJH5K - 245870 - Based on ..." |
Based on the the normal probability plot above, we can assume that the data is: © STATS4STEM.ORG |
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27) Problem #PRAJH5M "PRAJH5M - 245871 - Based on ..." |
Based on the the normal probability plot above, we can assume that the data is: © STATS4STEM.ORG |
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28) Problem #PRAJ732 "PRAJ732 - 266003 - Using the 68-95-..." |
Using the 68-95-99.7 rule, what value x is at the 84th percentile? © STATS4STEM.ORG |
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29) Problem #PRAP5GQ "PRAP5GQ - Problem #382677" |
Which notation best represents the density curve shown below for random variable X? © STATS4STEM.ORG |
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30) Problem #PRAP5GR "PRAP5GR - Problem #382677" |
Which notation best represents the density curve shown below for random variable X? © STATS4STEM.ORG |
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31) Problem #PRAP5GS "PRAP5GS - Problem #382677" |
A)
Which notation best represents the density curve shown below for random variable X? © STATS4STEM.ORG |
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B)
Refer to the density curve above, without doing any math, what is the z-score of 260? |
C)
Without doing any math, what is the z-score of 200? |