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wariber [46]
2 years ago
7

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability

is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 of 100 buses resulted in a sample mean of 3850 bus miles and a sample standard deviation of 275 bus miles. Please show your work.
A. T-stat=

B. The critical values is/are?

C. Is there sufficient evidence to reject the null hypothesis using a=0.05.
Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

(A) T-stat = 1.82

(B) Critical value is 1.645

(C) Yes, there is sufficient evidence to reject the null hypothesis using a 0.05 significance level.

Step-by-step explanation:

(A) T-stat (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 3850 bus miles

population mean = 3800 bus miles

sd = 275 bus miles

n = 100

z = (3850 - 3800) ÷ 275/√100 = 50 ÷ 275/10 = 50 ÷ 27.5 = 1.82

(B) The test is a one-tailed test. The critical value is obtained from the standard normal distribution table. The critical value using a 0.05 significance level is 1.645

(C) Null hypothesis: The bus mechanical reliability is 3850 bus miles.

Alternate hypothesis: The bus mechanical reliability is less than 3850 bus miles.

Conclusion:

There is sufficient evidence to reject the null hypothesis because the test statistic (1.82) is greater than the critical value (1.645)

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andreev551 [17]
I think the answer is b i've never learned this sorry :(
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LUCKY_DIMON [66]

For the given situation we have a total of 259,459,200 permutations.

<h3>How many permutations are?</h3>

First, how we know that it is a permutation?

Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).

Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.

  • For the first position there are 15 options.
  • For the second position ther are 14 options (one runner already finished).
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  • And so on.

Then the total number of permutations (product between the numbers of options) is:

P = 15*14*13*12*11*10*9*8 = 259,459,200

If you want to learn more about permutations:

brainly.com/question/11732255

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2 years ago
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Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

Orbit = 406 200 000             km

d = 406 200 000

s = speed = 65000 km / hr

t = time = d / s

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Answer:

Step-by-step explanation:

v=√u*u- 2qs

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  2. 2\sqrt{5} x 20 - 2q40 = 8
  3. 40\sqrt{5} - 2q40 = 8
  4. - 2q40 = 8 - 40\sqrt{5}
  5. -80q = 8 - 40\sqrt{5}
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