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sergiy2304 [10]

3 years ago

10

The Jemenez family took a four day road trip.They traveled 300 miles in 5 hours on Sunday, 200 miles in 3 hours on Monday, 150 m

iles in 2.5 hours on Tuesday,and 250 miles in 6hours on Wednesda. On which day did they average the greatest miles per hour?

1 answer:

Sergio039 [100]3 years ago

3 0

On average, the day they were going the most miles per hour would be Monday.

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Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

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Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

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If we multiply the inequality by 4 on all the terms we got:

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