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Pre-solved MyStatLab Statistics Homework Answers by Our Experts
Question 1: Mean, Median, and Standard Deviation
A sample of exam scores is:
70,75,80,85,90
Find:
a) Mean
b) Median
c) Sample standard deviation
Solution:
a) Mean = (70 + 75 + 80 + 85 + 90) / 5 = 80
b) Median = middle value (since data are in order) → 80
c) Sample standard deviation:
✅ Answer: Mean = 80, Median = 80, SD ≈ 7.91
Question 2: Probability (Independent Events)
A fair coin is flipped twice.
Find the probability of getting exactly one head.
Solution:
Possible outcomes = {HH, HT, TH, TT} → 4 outcomes.
Exactly one head = {HT, TH} → 2 outcomes.
✅ Answer: 0.5
Question 3: Normal Distribution
SAT scores are normally distributed with a mean of 1050 and a standard deviation of 150.
Find the probability that a student scores above 1200.
Solution:
✅ Answer: 0.1587 (≈ 15.87%)
Question 4: Confidence Interval for Mean
A sample of 25 students has a mean GPA of 3.2 with a standard deviation of 0.4.
Find the 95% confidence interval for the population mean.
Solution:
n = 25 → df = 24
✅ Answer: (3.035, 3.365)
Question 5: Hypothesis Testing (Two-Tailed t-test)
A professor claims that the average time to complete an exam is 50 minutes.
A sample of 16 students took on average 47 minutes with a standard deviation of 4 minutes.
At α = 0.05, test the professor’s claim.
✅ Answer: Reject H0. There is significant evidence that the mean time differs from 50 minutes.
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