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In general, high school and college students are the most pathologically sleep-d

ID: 2906567 • Letter: I

Question

In general, high school and college students are the most pathologically sleep-deprived segment of the population. Their alertness during the day is on par with that of untreated narcoleptics and those with untreated sleep apnea. Not surprisingly, teens are also 71 percent more likely to drive drowsy and/or fall asleep at the wheel compared to other age groups. (Males under the age of twenty-six are particularly at risk.) The accompanying data set represents the number of hours 25 college students at a small college in the northeastern United States slept and is from a random sample. Enter this data into C1 of Minitab Express. 6 7 6 7 6 7 7 7 8 6 6 6 8 8 8 5 4 6 7 8 5 8 7 6 7 For the analyses that follow, we shall use 90%, 95%, and 99% as the confidence levels for the confidence interval. 5% as the level of significance (?) for the hypothesis test. 7 hours sleep as the null hypothesis (according to The Sleep Foundation).

f, Manually calculate the numerical values for the lower and upper bounds of the 90%, 95% and 99% confidence interval estimates of . Show your work below and then add the respective values to the summary table on the next page. ConfidenceArea in each t Critical Value Lower Bound Upper Bound Level, C 0.90 or 90% Tail, (1-C)/2 Tail, (1-c)V2 0.95 or 95% 0.99 or 99%

Explanation / Answer

mean = 6.64

sd = 1.07548

n = 25

formulas

confidence level area t-critical lower upper 90 0.05 1.713872 6.271353 7.008647 95 0.025 2.068658 6.19504 7.08496 99 0.005 2.807336 6.036153 7.243847