Estimating Margin of Error

A random sample of shoppers chose between two similar products, and the percent who chose Brand A was recorded. The table shows the results of 20 simulations. Based on the simulations, which of the following is the most likely margin of error for the sample?

• ±1
• ±4
• ±8
• ±16

The results of a survey suggested that 54% of the voters will vote for a particular candidate in an election. The results from 100 computer simulations of this situation are shown below. Based on the margin of error and these simulations, what is the range of the percentages of votes this candidate could receive?

• 0.43 to 0.63
• 0.48 to 0.58
• 0.54 to 0.74
• 0.59 to 0.69

In order to estimate the average age of a penny in circulation, Rebecca uses an advanced statistical technique to simulate the process of selecting 100 pennies and recording the ages. The graph shows the result of her simulations. Based on her work, which of the following is the best estimate for the margin of error that Rebecca should use when she comes up with her estimate for the mean age of a penny in circulation?

• 3
• 6
• 12.5
• 14.5

An art student learned how to make a paper frog using a paper folding technique. The student “hopped” the frog 100 times. The distances of the “hops” in centimeters are recorded in the graph below. Based on the graph, which value is the best estimate of the mean?

• 7 cm
• 7.75 cm
• 8.25 cm
• 9 cm

A sports-and-exercise shop sampled its customer base one weekend and asked 35 customers their age. Which interval estimate of the population mean has a margin of error of 1.7 ?

•  26.0 ≤ x̄ ≤ 30.0
• 26.8 ≤ x̄ ≤ 30.2
• 33.3 ≤ x̄ ≤ 37.6
• 24.0 ≤ x̄ ≤ 46.0

A university professor and his students did a study to determine the mean length of bass in a lake. Each time a bass was caught, its length was measured in inches, and then it was released. The distribution of the lengths is shown in the graph below. Based on this graph, which measurement represents the best estimate for the mean length of bass in the lake?

• 12 inches
• 17 inches
• 20 inches
• 23 inches

A class does a simulation of flipping a coin 20 times, and records the proportion of "Tails" obtained. By running the simulation 100 times, they create a distribution as shown. Use the sampling distribution to estimate the mean of the distribution. 

• 0.51
• 0.45
• 0.62
• 0.24

The label on an Animal Crackers box claims that there are 25 crackers in each box. Use the data from the 28 samples to estimate the average number of crackers in a box. 

• 20 crackers
• 4 crackers
• 18 crackers
• 22 crackers

The label on an Animal Crackers box claims that there are 25 crackers in each box. Use the data from the 28 samples to estimate the margin of error. 

• 2 crackers
• 4 crackers
• 20 crackers
• 28 crackers

The label on an Animal Crackers box claims that there are 25 crackers in each box. Is this a reasonable claim?

• No, because 25 is outside the range of values in the table. 
• No, because we collected 28 samples. 
• Yes, because all the samples had at least 25 crackers in them. 
• Yes, because 25 is within the range of values in the table.