A research team conducted a study of VARIABILITY in students' test performance. Researchers assume that individual records are normally distributed with unknown mean and variance. They collected a sample of n = 25 test scores with summaries shown below. Sample Mean = X = 75.2 and Sample SD = S = 15 1. At the significance level, a = 0.01, do researchers have sufficient evidence that the POPULATION VARIANCE would be ABOVE 120? • Show critical value • Evaluate Test Statistic • Formulate Rejection Rule • State your decision

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A research team conducted a study of VARIABILITY in students' test performance. Researchers assume
that individual records are normally distributed with unknown mean and variance. They collected a
sample of n = 25 test scores with summaries shown below.
Sample Mean =
X = 75.2 and Sample SD = S = 15
1. At the significance level, a = 0.01, do researchers have sufficient evidence that the POPULATION
VARIANCE would be ABOVE 120?
• Show critical value
• Evaluate Test Statistic
• Formulate Rejection Rule
• State your decision
2. At the significance level, a = 0.01, do researchers have sufficient evidence that the POPULATION
VARIANCE would be BELOW 540?
• Show critical value
• Evaluate Test Statistic
• Formulate Rejection Rule
• State your decision
Solution
Transcribed Image Text:A research team conducted a study of VARIABILITY in students' test performance. Researchers assume that individual records are normally distributed with unknown mean and variance. They collected a sample of n = 25 test scores with summaries shown below. Sample Mean = X = 75.2 and Sample SD = S = 15 1. At the significance level, a = 0.01, do researchers have sufficient evidence that the POPULATION VARIANCE would be ABOVE 120? • Show critical value • Evaluate Test Statistic • Formulate Rejection Rule • State your decision 2. At the significance level, a = 0.01, do researchers have sufficient evidence that the POPULATION VARIANCE would be BELOW 540? • Show critical value • Evaluate Test Statistic • Formulate Rejection Rule • State your decision Solution
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