Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

ID: 2906570 • 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).

k. Use Minitab Express to check the [manual] calculation of t and determine the p-value. . Click: STATISTICS, One Sample Choose the [bell-curve graph on the top row on the left, with ? and t . In "Sampl" enter C1. . Click "Opin . Click OK. ns" and confirm the "Alternative hypothesis:" is correct What is the p-value? Is the value of the test statistic from Minitab Express approximately the same as that found in (j)? [ Yes No Submit this Minitab Express hypothesis test result with your project.

Explanation / Answer

MTB > OneT C1;

SUBC>   Test 7;

SUBC>   Confidence 90;

SUBC>   Alternative 0;

SUBC>   GHistogram.

One-Sample T: C1

Test of ? = 7 vs ? 7

Variable   N   Mean StDev SE Mean      90% CI          T      P

C1        25 6.640 1.075    0.215 (6.272, 7.008) -1.67 0.107

Histogram of C1

MTB > OneT C1;

SUBC>   Test 7;

SUBC>   Confidence 95;

SUBC>   Alternative 0;

SUBC>   GHistogram;

SUBC>   GIndividual;

SUBC>   GBoxplot.

One-Sample T: C1

Test of ? = 7 vs ? 7

Variable   N   Mean StDev SE Mean      95% CI          T      P

C1        25 6.640 1.075    0.215 (6.196, 7.084) -1.67 0.107

Histogram of C1

MTB > OneT C1;

SUBC>   Test 7;

SUBC>   Confidence 99;

SUBC>   Alternative 0;

SUBC>   GHistogram.

One-Sample T: C1

Test of ? = 7 vs ? 7

Variable   N   Mean StDev SE Mean      99% CI          T      P

C1        25 6.640 1.075    0.215 (6.038, 7.242) -1.67 0.107

Histogram of C1