AnswersCommon Core Math 7 - MA3107 CRVariation in Predictions and Estimates

Variation in Predictions and Estimates Answers

2 verified answers
1
Free Preview

Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples. Survey DataSample 145243Sample 222657Sample 346341Sample 452436Using his four samples, between what two numbers will Ardem’s actual population mean lie?

A
1 and 6
B
2 and 5
C
3.6 and 4.4
D
4.0 and 4.4
2
Free Preview

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.
3

Julia surveyed her friends to find the number of hours they spend on homework during the week. The data from her survey is displayed in the first table. She then took a random sample of five responses from the population as shown in the second table. Compare the mean of the population with the mean of the given sample. Population Data45313223573630150436Sample Data54621What is the difference between the mean of the sample and the mean of the population?

A
0.2
B
0.3
C
0.4
D
0.5
4

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.
5

Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. SampleSample Mean(pounds)124022363245424352386242Which statements are true? Select three choices.

A
The variation in the sample means makes it possible to make predictions about the population mean.
B
The actual population mean is greater than 236.
C
The actual population mean is less than 245.
D
The actual population mean is greater than 245.
E
The population mean is the average of the sample means.
6

Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were taken? Sample NumberSample Mean111.8212.5315.1414.3513.0612.9

A
10.2
B
11.5
C
12.9
D
15.4
7

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
9

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.
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

Did you find these answers helpful?