Variation in Predictions and Estimates Answers

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

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

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

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?

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.

The table displays the mean name length for seven samples of students. SampleMean Name Length15.427.136.345.256.064.976.2What can be said about the variation between the sample means?

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?

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?

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?

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?