mean, median, mode, and more
Experiment or Observation
Survey
Sampling
Normal distribution
100
What is the mean of 0,2,4,8,16,36
11
100
A store owner wants to know if he sells more water or sports drinks. He records the number of sales for both products. What is the data- gathering technique used? A experiment B randomized survey C observational study D voluntary survey
Observational study
100
A math student wants to know if listening to Mozart while sleeping will improve his test scores. Which of these is the null hypothesis?
There will be no change in the test scores
100
A state senator wants to know what citizens think about the senate bill. The senator has people call in to take a survey. What type of sample is this?
SELF SELECTED
100
The probability distribution of the milk production of a dairy farmer’s cows is given below. Milk Production n gallons 8.5 9.0 9.3 Probability of n gallons 0.45 0.35 0.20 Which is the expected milk production for any one cow, in gallons?
8.835
200
This data represent the number of books Sarah read each month: 1, 1, 3, 3, 4. What is the approximate standard deviation of the data set?
1.2
200
A store owner wants to know if his shoppers like backpacks or shoulder bags. He sells only backpacks for one month. Then he sells only shoulder bags and records the results. What is the data-gathering technique used? A experiment B randomized survey C observational study D voluntary survey
Experiment
200
An runner wants to know if wearing new shoes will improve his overall running speed. What is the null hypothesis?
There will be no effect on the runner's Speed
200
A city mayor wants to know what citizens think about the new school. The mayor randomly chooses 20 people from each borough to respond. What type of sample is this?
Stratified Sample
200
The probability distribution for the number of sales for a salesman each day is given below. Daily Sales Total n sales 5 7 9 Probability of n sales 0.40 0.35 0.25 What is the expected number of sales for this salesman?
6.7
300
A bird watcher keeps track of how many birds she sees each day: {2, 2, 2, 4, 4, 2}. What is the standard deviation of the data set?
0.94
300
A store owner wants to know if his shoppers like LED screens or plasma screens. He sells only LED screens for one month. Then he sells only plasma screens and records the results.What is the data-gathering technique used? A experiment B randomized survey C observational study D voluntary survey
Experiment
300
Does each survey indicate the majority’s preference? Explain. 6. A local news team polls a city’s residents about whether resurfacing the city’s major roads or upgrading the city’s public transportation system ought to be the priority in the municipal budget. The polls shows that 54% think the roads should be the priority, while 46% think the public transportation system should be the priority. The survey’s margin of error is +/-3%.
Yes; 54% +/- 3% +/- 51% to 57% and 46% +/- 3% , 43% to 49%. The intervals do not overlap, so the survey indicates that the majority think roads should be the priority.
300
A city mayor wants to know what citizens think about the city park. The mayor randomly chooses streets and asks every person that lives there. What type of sample is this?
Cluster
300
The probability distribution of the number of piglets per litter on a farm is given below. Piglet Births per Litter n piglets 4 5 6 Probability of n piglets 0.2 0.4 0.4 What is the expected number of piglets per litter on this farm?
5.8
400
A golfer keeps track of how many times he hits the ball into the water each day: {4, 6, 2, 0, 6, 6}. What is the standard deviation of the data set?
2.31
400
The teacher predicts quiz scores will drop for the test group. The groups’ scores are shown below. Control 95 85 77 72 78 82 76 81 Test 77 65 66 52 49 18 58 45 1. The null hypothesis states there is no difference between the two groups being tested. What is the null hypothesis for this experiment true or false?
True
400
Identify the population and the sample. Fifty teenagers are randomly selected and asked whether they have siblings.
population: teenagers; sample: the 50 selected teenagers
400
The gym teacher wants to know how many students attend games. She asks 80 students throughout the day. What is the sample?
the 80 students the gym teacher asks
400
Scores on a test are normally distributed with a mean of 80 and a standard deviation of 5. A randomly selected student scored below 80.
50% or 0.5
500
What is the mean of the data set {0, 3, 5, 6, 12, 100, 3, ?4}?
15.625
500
A researcher wants to test the effect of listening to classical music while sleeping has on students’ math test scores. The table below shows his data. Control 88 77 76 82 68 73 75 92 81 Test 80 79 78 70 88 95 62 82 79 Compare the results of the control group and the test group. Do you think that the researcher has enough evidence to reject the null hypothesis?
The measures of the control group are min: 68, Quart. 1: 74, med: 77, Quart. 3: 85, max: 92, and the measures for the test group are min: 62, Quart. 1: 74, med: 79, Quart. 3: 85, max: 95. There is little difference in the two groups. The researcher cannot reject the null hypothesis, which means listening to classical music while sleeping has no effect on math scores.
500
To determine how many cats have blue eyes, the eye colors of 10 cats at each of 10 animal shelters in different states are recorded.
population: cats; sample: the 100 cats whose eye colors are recorded
500
The foreign language teacher wants to know how many students speak a second language. She asks 50 students throughout the day. Which of these is the sample? F 50 students G All the students that speak a second language H All the students that do not speak a second language J All the students in the school
50 Students
500
Find the probability. rolling 2 and tossing heads when rolling a number cube and tossing a coin
1__ 12