A group of archeologists are analyzing the weights (in units of grams) of pennies minted after 20002000 to assess the consistency of their production. The specifications require that each penny weigh exactly 2.5002.500 grams. The following are the weights of a sample of 88 pennies: 2.520,2.510,2.490,2.530,2.510,2.495,2.505,2.5152.520,2.510,2.490,2.530,2.510,2.495,2.505,2.515. Using the sample data, construct a 99%99\% confidence interval for the true mean weight of pennies minted after 20002000. What does the confidence interval suggest about the weight specification of 2.5002.500 grams?

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1. Intro to Stats and Collecting Data(0)

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Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Non-Standard Normal Distribution
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Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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Two Means - Unknown, Unequal Variance
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7. Sampling Distributions & Confidence Intervals: Mean

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Problem 20Multiple Choice

A group of archeologists are analyzing the weights (in units of grams) of pennies minted after $2000$ to assess the consistency of their production. The specifications require that each penny weigh exactly $2.500$ grams. The following are the weights of a sample of $8$ pennies: $2.520 comma 2.510 comma 2.490 comma 2.530 comma 2.510 comma 2.495 comma 2.505 comma 2.515$ . Using the sample data, construct a $99 percent sign$ confidence interval for the true mean weight of pennies minted after $2000$ . What does the confidence interval suggest about the weight specification of $2.500$ grams?

$2.4934$ grams $is less than mu is less than 2.5254$ grams. This suggests that the population mean weight hits the specification, $2.500$ grams.

$2.4878$ grams $is less than mu is less than 2.6572$ grams. This suggests that the population mean weight is slightly higher than the specification, $2.500$ grams.

$2.5529$ grams $is less than mu is less than 2.8261$ grams. This suggests that the population mean weight is significantly higher than the specification, $2.500$ grams.

$2.2911$ grams $is less than mu is less than 2.4279$ grams. This suggests that the population mean weight is significantly lower than the specification, $2.500$ grams.

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