We are curious about the average number of Facebook friends that college students have. We take a simple random sample of 40 students and record the number of Facebook friends each student has. 1. Is the 99% Confidence Interval narrower or wider than the 95% (300.26, 416.54)? Why?  2. Your friend claims that he heard that the average number of Facebook friends was 300 in 2010. You suspect that the average has increased. Write down the null and alternative hypotheses you would need to perform a hypothesis test.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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We are curious about the average number of Facebook friends that college students have. We take a simple random sample of 40 students and record the number of Facebook friends each student has.

1. Is the 99% Confidence Interval narrower or wider than the 95% (300.26, 416.54)? Why? 

2. Your friend claims that he heard that the average number of Facebook friends was 300 in 2010. You suspect that the average has increased. Write down the null and alternative hypotheses you would need to perform a hypothesis test.

Descriptives
Statistic
Std. Error
FBfriends
Mean
358.40
28.745
99% Confidence Interval for Lower Bound
280.56
Mean
Upper Bound
436.24
5% Trimmed Mean
358.64
Median
368.50
Variance
33049.887
Std. Deviation
181.796
Minimum
23
Maximum
728
Range
705
Interquartile Range
274
Skewness
-.053
.374
Kurtosis
-.841
.733
Transcribed Image Text:Descriptives Statistic Std. Error FBfriends Mean 358.40 28.745 99% Confidence Interval for Lower Bound 280.56 Mean Upper Bound 436.24 5% Trimmed Mean 358.64 Median 368.50 Variance 33049.887 Std. Deviation 181.796 Minimum 23 Maximum 728 Range 705 Interquartile Range 274 Skewness -.053 .374 Kurtosis -.841 .733
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