STATS 1.10 Normal Distribution

Quiz
•
Mathematics
•
12th Grade
•
Hard
Standards-aligned
Gary Blanpied
Used 4+ times
FREE Resource
33 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The distribution of the number of transactions per day at a certain automated teller machine (ATM) is approximately normal with a mean of 80 transactions and a standard deviation of 10 transactions. Which of the following represents the parameters of the distribution?
Tags
CCSS.HSS.ID.A.4
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the distribution?
80 years
115 years
120 years
125 years
130 years
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
At a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately normal with mean 276 seconds and standard deviation 38 seconds. Which of the following is closest to the proportion of orders that are processed in less than 240 seconds?
0.17
0.25
0.36
0.83
0.95
Tags
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the calculus final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the chemistry final and 84 on the calculus final. Relative to the students in each respective class, in which subject did this student do better?
The student did better in chemistry.
The student did better in calculus.
The student did equally well in each course
There is no basis for comparison, since the subjects are different from each other .
There is not enough information for comparison, because the number of students is not known.
Tags
CCSS.HSS.ID.A.4
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Some descriptive statistics for a set of test scores are shown above. For this test, a certain student has a standardized score of z = -1.2. What score did this student receive on the test?
266.28
779.42
1008.02
1083.38
1311.98
Tags
CCSS.HSS.ID.A.4
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
A sleep time of 15.9 hours per day for a newborn baby is at the 10th percentile of the distribution of sleep times for all newborn babies. Assuming the distribution is normal with standard deviation 0.5 hour, approximately what is the mean sleep time, in hours per day, for newborn babies?
15.1
15.3
16.1
16.5
16.7
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The caffeine content of 8-ounce cans of a certain cola drink is approximately normally distributed with mean 33 milligrams (mg). A randomly selected 8-ounce can containing 35 mg of caffeine is 1.2 standard deviations above the mean. Approximately what percent of 8-ounce cans of the cola have a caffeine content greater than 35 mg?
1%
8%
12%
16%
99%
Tags
CCSS.HSS.ID.A.4
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