A house cleaning service claims that it can clean a four bedroom house in less than 2 hours. A sample of n = 16 houses is taken
1 answer:
Response:
Option B is correct
Step-by-step breakdown:
(One-tailed test at a significance level of 5%)
n = 16 and x̄ = 1.97
s = 0.1
Standard error of the mean =
Difference in means =
t statistic = Difference in means/se = -1.2
degrees of freedom = 16 - 1 = 15
p-value = 0.124375
(B) do not reject the null hypothesis since the test statistic (-1.2) is > the critical value (-1.7531).
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Given that,
Julia completes a 20-mile bike ride in 1.2 hours.
The distance Julia covers is 20 miles and her time taken is 1.2 hours.
Therefore, Julia's speed = = 16.67 mph
Katie finishes the same 20-mile ride in 1.6 hours.
Katie’s distance is 20 miles and her time is 1.6 hours.
Hence, Katie's speed = = 12.5 mph
To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.
Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.
Consequently, Julia cycles 4.2 mph faster than Katie.
Answer:
3.5
Step-by-step explanation:
For a shape that is half a circle, use the formula: A = π
Calculate the radius, which is half of the diameter: r = d/2 = 3/2 = 1.5
Insert r = 1.5 into the formula.
A = π
A = (3.14)
Calculate the result with your calculator and round it off.
The final answer is 3.5