Mathematics, 29.10.2020 16:50 maggie9459

If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate the average stopping distance of all Model A tires with a 94% confidence interval.

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Answer from: JadeK4853

Complete Question

The complete question is shown on the first and second uploaded image

The estimate of the average stopping distance of all model A tires with a 94% confidence interval is

$132.94 < \mu < 144.86$

Step-by-step explanation:

From the question we see that

The sample size is n = 8

The population standard deviation is $\sigma = 6.7$

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{ 145 + 152 + \cdots + 133}{8}$

=> $\= x = 138.9$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 94 ) \%$

=> $\alpha = 0.04$

Generally the degree of freedom is mathematically represented as

df = n - 1

=> df = 8 - 1

=> df = 7

Because the n < 30 we will making use of the t table

Generally from the t distribution table the critical value of $\frac{\alpha }{2}$ at a degree of freedom of df = 7 is

$t_{\frac{\alpha }{2}, 7 } = 2.517$

Generally the margin of error is mathematically represented as

$E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }$

=> $E = 2.517 * \frac{6.7 }{\sqrt{8} }$

=> E =5.96

Generally 94% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $138.9 -5.96 < \mu < 138.9 + 5.96$

=> $132.94 < \mu < 144.86$

If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate

Answer from: Quest

answer: it's upside down and i can't read it

step-by-step explanation:

Me with this . im really bad at these types of problems!

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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If the population standard deviation of the stopping distance is provided as σ = 6.7 feet. Estimate...

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