Mathematics, 31.05.2020 03:57 alex12everett

An automobile manufacturer has given its car a 31.131.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car performs over the manufacturer's MPG rating. After testing 110110 cars, they found a mean MPG of 31.331.3. Assume the population variance is known to be 3.613.61. Is there sufficient evidence at the 0.10.1 level to support the testing firm's claim?

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Answer from: pandadude123

$z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104$

Now we can calculate the p value with this probability:

p_v =P(z1.104)=0.135

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Step-by-step explanation:

Information given

$\bar X=31.3$ represent the sample mean

$\sigma=\sqrt{3.61}= 1.9$ represent the population deviation

n=110 sample size

$\mu_o =31.1$ represent the value to verify

$\alpha=0.1$ represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true mean for this case is higher than 31.1 MPG, the system of hypothesis would be:

Null hypothesis: $\mu \leq 31.1$

Alternative hypothesis: $\mu 31.1$

Since we know the population deviation the statistic would be given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104$

Now we can calculate the p value with this probability:

p_v =P(z1.104)=0.135

Answer from: Quest

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation:

Answer from: Quest

answer: what

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An automobile manufacturer has given its car a 31.131.1 miles/gallon (MPG) rating. An independent te...

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