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Arlecino [84]
4 years ago
15

A running group has 38 members. Each group member completed half marathon (13.1 miles). The average time to complete is 110 minu

tes. Based on average time what is the total number of minutes it took all members to complete course.
Mathematics
1 answer:
Vikki [24]4 years ago
8 0

Answer:

They took 4,180 minutes total to complete the course.

Step-by-step explanation:

The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:

total time = average*number of members = 110*38 = 4180 minutes

They took 4,180 minutes total to complete the course.

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Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.

The standard errors are given by:

s_A = \frac{1.79}{\sqrt{18}} = 0.4219

s_B = \frac{1.95}{\sqrt{18}} = 0.4596

For the distribution of differences, the <u>mean and the standard error</u> are given by:

\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76

s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239

The interval is given by:

\overline{x} \pm ts

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.

Then:

\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058

\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

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How much is 3ft in a 1 yrd
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Find the distance between the two points. (round to the nearest hundredths)
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Answer:

d = 5.10

Step-by-step explanation:

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Rounding to the nearest hundredth

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