1. The principal randomly selected six students to take an aptitude test. Their scores were: 81.6 72.0 81.1 86.4 70.2 83.1 The sample standard deviation is s = 6.47 but you will have to calculate the sample mean. (a) Determine a 90% confidence interval for the mean score for all students. (b) Raise the level of confidence to 99%, and show the effect on the confidence interval.

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1. The principal randomly selected six students to take an aptitude test. Their scores were:
81.6 72.0 81.1 86.4 70.2 83.1
The sample standard deviation is s = 6.47 but you will have to calculate the sample
mean.
(a) Determine a 90% confidence interval for the mean score for all students.
(b) Raise the level of confidence to 99%, and show the effect on the confidence interval.
(c) Explain the math behind why this effect happens. Look at your formulas and
explain what is different and how this impacts your answers.
Transcribed Image Text:1. The principal randomly selected six students to take an aptitude test. Their scores were: 81.6 72.0 81.1 86.4 70.2 83.1 The sample standard deviation is s = 6.47 but you will have to calculate the sample mean. (a) Determine a 90% confidence interval for the mean score for all students. (b) Raise the level of confidence to 99%, and show the effect on the confidence interval. (c) Explain the math behind why this effect happens. Look at your formulas and explain what is different and how this impacts your answers.
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