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Lorico [155]
3 years ago
12

A dealer advertises that a certain brand of tire averages 50,000 miles of use before needing to be replaced. Testing this claim,

an investigator finds that a sample of 19 randomly selected tires from this dealer had an average lifespan of 48,700 miles with a standard deviation of 4,500 miles. Assume tire life spans are approximately normally distributed. At the α = 0.05 level, find if the investigator can prove the dealer is exaggerating the average lifespan of their tires by performing the hypothesis test.
Mathematics
1 answer:
erik [133]3 years ago
7 0

Answer:

100k miles

Step-by-step explanation:

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Liz has a 24 inch ribbon she cuts nine 2 inch pieces from her original ribbon. how much of the original ribbon is left?
Tpy6a [65]
6 inches from the original piece of ribbon is left.
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After a discount of 5% the sales price of a game system is $106.78 what is the original price
Mrac [35]
106.78/.05=2135.6
21356*.05=106.78
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3 years ago
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Alex777 [14]

Answer:

\frac{1}{2}x + 16 = 36

40 comic books

Step-by-step explanation:

Let x be the Jill comic books.

Given:

Jill sold half of her comic books and then bought sixteen more. She now has 36.

\frac{1}{2}\ (Jill\ books) + 16\ more\ books = 36

\frac{1}{2}\ (x) + 16 = 36

\frac{1}{2}x + 16 = 36

Therefore the algebraic equation of the given statement.

\frac{1}{2}x + 16 = 36--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

\frac{1}{2}x + 16 -16 = 36 -16

\frac{1}{2}x = 20

Multiply by 2 both side of the above equation.

2\times \frac{1}{2}x =2\times 20

x = 40

Therefore, Jill had 40 comic books.

8 0
3 years ago
Experience raising New Jersey Red chickens revealed the mean weight of the chickens at
Nikolay [14]

Answer:

p-value = 0.1277

Step-by-step explanation:

p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.

Firstly we find the mean and standard deviation of the given data set.

⇒ Mean = \frac{4.41 +4.37+ 4.33+ 4.35 +4.30 +4.39 +4.36+ 4.38+ 4.40+ 4.39}{10}

⇒ Mean = 4.368

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

⇒ Standard Deviation = 0.034

Applying t- test:

Let out hypothesis is:

H₀: μ = 4.35

H₁: μ ≠ 4.35

Now,

Here, μ = Population Mean = 4.35

\bar{x}= Sample Mean = 4.368

σ = Standard Deviation = 0.034

n = 10

t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}} }

Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.

Then the p-value at 99% level of significance.

⇒ p-value = 0.1277

6 0
3 years ago
A farmer bought 16 sheep, with 100 dollar insurance on each of them. He then bought a $25 heater. If he paid $925, how much did
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Hope I helped!
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3 years ago
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