AnswersCommon Core Math 7 - MA3107 CRVariation in Predictions and Estimates

Variation in Predictions and Estimates Answers

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The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample #Sample Mean Number of Goals17243548Is a valid prediction for the mean of the population possible using these samples?

A
No, there are not enough samples.
B
Yes, the sample means are all less than 10.
C
Yes, the variation of the sample means is small.
D
No, the variation of the sample means is too great.
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Nadya put the data she collected during her survey in a table. Then she found the mean of each of the four rows of data. Population Data24545242434324434432Find the mean from each row of data. Between what values will the mean of the actual population be found?

A
3.2 and 3.4
B
3.2 and 4
C
3.4 and 4
D
3 and 4
3

Una was asked to write about predicting population means by taking the means of samples. She recorded a list of some statements generated from her classmates.Which statements are true? Select three choices.

A
The best prediction of the population mean is the value that falls between the least and greatest sample means.
B
It is unlikely that the population mean will be the least or greatest mean from the samples.
C
If the means of different samples are close in number, or have small variation, then they cannot be used to make predictions for the actual population.
D
A more accurate prediction of the population mean can be made by decreasing the number of random samples.
E
To find the range of the sample means, subtract the least value from the greatest value.
4

Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below.SampleMeanSample 112Sample 216Sample 313Looking at the table of sample means, which value is the best estimate of the mean of the population?

A
10
B
12
C
14
D
16
5

Dima asked her seventh-period class how many times they attended a summer camp since first grade. She put her data in the table and used the shaded rows to find three sample means. Summer Camp Attendance3104142305011204144232014What is the range of the values for the sample means?

A
1
B
1.2
C
1.8
D
2
6

Why will random samples from a given population not have the same mean?

A
Sample means will vary because the data values selected for samples are not randomly chosen.
B
Sample means will vary because for each sample the same data values are selected.
C
Sample means will vary because the data values are randomly selected from different populations.
D
Sample means will vary because the data values selected for each sample will be different.
7

Ms. Murray asked her twenty students how many national parks each of them had visited. National Parks VisitedPopulation Data21304543221520340534Calculate the mean number of parks visited by a student from the population. Round the answer to the nearest whole number.

A
1
B
2
C
3
D
4
8

Peter wants to estimate the mean value rolled on a fair number cube. He has generated four samples containing five rolls of the number cube as shown in the table below. Which sample will result in the greatest mean?Sample DataSample 145243Sample 222656Sample 346342Sample 452436

A
Sample 1
B
Sample 2
C
Sample 3
D
Sample 4
9

Charles asked his teammates how many hours they practiced swimming during the week. He recorded his data in the table below and used the shaded columns to calculate three sample means. What is the range of the values for the sample means? Hours of Swim Practice45363835476245352346

A
1
B
2
C
3.75
D
4.75
10

The table displays the mean for seven random samples. SampleSample Mean123.2226.7324.9424.6528.0626.3723.4Which value is the best estimate of the mean of the population?

A
22.9
B
24.2
C
28.2
D
29.1

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