Based on previous sales, Ron predicted sales of 80 pen sets. He actually sold 100 pen sets. Find the error and absolute error fo
r the pen sets. 
2 answers:
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Answer:
No, at alpha equals 0.10, we do not have enough evidence to support the county's claim.
Step-by-step explanation:
We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.
A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.
<em><u>Let </u></em><em><u> = true mean speed of the vehicles.</u></em>
SO, <u>Null Hypothesis</u>, :
30 miles per hour {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}
<u>Alternate Hypothesis,</u> :
> 30 miles per hour {means that the mean speed of vehicles is greater than 30 miles per hour}
The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = ~
where, = sample mean speed of 15 vehicles = 31 mph
s = sample standard deviation = 4.7 mph
n = sample of vehicles = 15
So, <em><u>test statistics</u></em> = ~
= 0.824
<u><em>Hence, the value of test statistics is 0.824.</em></u>
<em />
<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>
<em />
Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.
Answer:
Simplified: 40
Step-by-step explanation:
To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says: We can do this same thing to simplify this expression. Next, we can simplify each of these terms.
simply becomes 4. In the other term, the
simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40