# The z confidence interval and test are based on the sampling distribution of the sample mean x¯ . The National Survey of Student Engagement (NSSE) asks college seniors to rate how much their experience at their institution has contributed to their ability to think critically and analytically. Ratings are on a scale of 1 to 7 , with 7 being the highest or best rating. Suppose scores for all seniors in 2013 are Normal with mean μ=3.3 and standard deviation σ=0.8 .(a) You take an SRS of 100 seniors. According to the 99.7 part of the 68–95–99.7 rule, about what range of ratings do you expect to see in your sample? (Enter your answer rounded to one decimal place.)lower bound:upper bound:

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The z confidence interval and test are based on the sampling distribution of the sample mean x¯ . The National Survey of Student Engagement (NSSE) asks college seniors to rate how much their experience at their institution has contributed to their ability to think critically and analytically. Ratings are on a scale of 1 to 7 , with 7 being the highest or best rating. Suppose scores for all seniors in 2013 are Normal with mean μ=3.3 and standard deviation σ=0.8 .

(a) You take an SRS of 100 seniors. According to the 99.7 part of the 68–95–99.7 rule, about what range of ratings do you expect to see in your sample? (Enter your answer rounded to one decimal place.)

lower bound:

upper bound:

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Step 1

Given:

Mean μ=3.3 and standard deviation σ=0.8

First need to understand empirical rule:

Step 2

On a normal distribution about 68% of data will be within one standard deviation of the mean, about 95% will be with...

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