solution_quiz2

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Statistics

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Feb 20, 2024

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STAT212 STATISTICS II Fall 2023 Quiz 2 Name: 1. In a study, a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola are collected independently, and the compression strength (lb) is measured on them. The data is summarized below. Assuming the strength is normally distributed, and population variances are the same, use ANOVA to test whether the two population means are different, using ࠵? = 0.05 ? Sample size Mean Standard deviation Strawberry drink 8 540 16 Cola 9 554 20 2. Contestants on a game show spin a wheel like one shown here. Each of the four outcomes on this wheel is equally likely and outcomes are independent from one spin to the next. A contestant alleges that the wheel is not fair. In order to check on the fairness of the wheel, the data in the table below were collected for 100 spins of this wheel. Based on these data, can you conclude that the wheel is fair?
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