Someone please help me
2 answers:
Answer:
The volume of this triangular prism is equal to 336
Step-by-step explanation:
In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...
Therefore the area of this triangular prism is equal to 336
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Answer:
We conclude that the the manufacturer's advertising campaign is not correct.
P-value of test = 0.067.
Step-by-step explanation:
We are given that an independent testing service road-tested 36 of the automobiles. The sample showed an average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon.
We have to conduct a test to determine whether or not the manufacturer's advertising campaign is legitimate.
<u><em>Let </em></u><u><em> = population average gasoline of new small cars in highway driving.</em></u>
SO, <u>Null Hypothesis</u>, :
50 miles per gallon {means that the manufacturer's advertising campaign is not correct}
<u>Alternate Hypothesis</u>, :
> 50 miles per gallon {means that the manufacturer's advertising campaign is correct}
The test statistics that will be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample average gasoline = 51.5 miles per gallon
= population standard deviation = 6 miles per gallon
n = sample of automobiles = 36
So, <em><u>test statistics</u></em> =
= 1.50
<em>Now at 0.05 significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is less than the critical values of z as 1.50 < 1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>
<u>Also, P-value is given by the following formula;</u>
P-value = P(Z > 1.50) = 1 - P(Z 1.50)
= 1 - 0.93319 = <u>0.067 or 6.7%</u>
Therefore, we conclude that the the manufacturer's advertising campaign is not correct as its new small cars average less than or equal to 50 miles per gallon in highway driving.