A study on the correlation between sleep quality and academic performance of SHS students is done by some PRACRES students. A random sample of 8 students is taken and the data for the number of hours of sleep per night (in hours) is recorded below: 4 4.5 5 5 5.5 6
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STATISTICS AND PROBABILITY
MULTIPLE CHOICE
A study on the
| 4 | 4.5 | 5 | 5 | 5.5 | 6 | 6.5 | 7 |
A. Find the sample mean and the sample standard deviation.
a. 5.44, 1.02
b. 5.44, 0.95
c. 5.5, 0.95
d. 5.5, 1.10
B. Determine a 90% confidence interval for the true average, assuming the number of hours of sleep follows a
a. [4.73,5.15]
b. [4.59, 6.29]
c. [4.85,6.03]
d. [4.76, 6.12]
C. Based on the computed interval, is there a reason to believe the claim that the true average
number of hours of sleep is equal to 6.0 hours
a. Yes, because 6.0 is a possible value based on the computed confidence interval.
b. No, because 6.0 is not a possible value based on the computed confidence interval.
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