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Orlov [11]
3 years ago
13

A national organization has been working with utilities throughout the nation to find sites for large wind machines that generat

e electricity. Wind speeds must average more than 10miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site under construction for a wind machine.
To determine whether the site meets the organization's requirements, consider the test, H0:u = 10 vs Ha:u >10, where u is the true mean wind speed at the site and a=.10. suppose the onserved significance level(p-value) of the tesr is calculated to be p=0.2807. imterpret this result based on the p value of 0.2807.
a. since p value greatly exceeds a=.0.10 there is strong evidence to reject the null hypothesis
b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis
c. the probability of rejecting the null hypothesis is 0.2807
d. we are 71.93% confident that u=10.
Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

p_v =P(t_{(n-1)}>t_{calc})=0.2807  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.

And the best conclusion for this case wold be:

b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis

Step-by-step explanation:

Data given and notation  

\bar X represent the sample mean

s represent the sample standard deviation

n sample size  

\mu_o =10 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 10, the system of hypothesis would be:  

Null hypothesis:\mu \leq 10  

Alternative hypothesis:\mu > 10  

We assume that we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) and we got t_{calc}

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1  

Since is a one sided test the p value would be:  

p_v =P(t_{(n-1)}>t_{calc})=0.2807  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.

And the best conclusion for this case wold be:

b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis

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Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta
bonufazy [111]

Answer:

1 mile = 1,609 meters is the key to converting the rates of the two swimmers

Step-by-step explanation:

there are 60 seconds in a minute and 60 minutes in an hour

so 1.8 meters/sec x 60 sec/min x 60 min/hr = 6480 meters/hr

now we convert meters to miles

6480 meters/1 hr x 1 mile/1609 meters = roughly 4 miles/hr (4.027)

or we can convert the other rate to meters/sec

2.5 mi/hr x 1hr/60 min x 1min/60 sec = 0.00069444 mi/sec

then convert miles to meters

0.00069444 mi/sec x 1609meters/ 1mi = roughly 1.1 meters/sec (1.117)

5 0
3 years ago
The original price of an article was reduced by 20% the new price was 1,500.00. what was the original price of the article​
just olya [345]

Answer:

$1,875

Step-by-step explanation:

(if 500 is 80%, divide 1500 by 4 to get 20%)

1500 divided by 4 is 375

375 plus 1500 is 1875

5 0
3 years ago
Let a = {1, 2, 3, 4, 5} b = {1, 3, 5} c = {4, 6}. find the cardinality of the given set. 33. n(a) 34. n(b) 35. n(a ⋃
bearhunter [10]

1) n(a) = 5


The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5


2) n(b) = 3


Simlarly, in this case you need to count how many elements belong to the set, the answer is 3


3) n(a ⋃ c) = 6


The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.


4) n(a ⋂ c) = 1


The intersection of two sets is a set composed by the elements belonging to both sets. So, 1,2,3 and 5 don't belong to the intersection, because they belong to the first set alone, while 6 doesn't belong to the intersection because they don't belong to the first one. So, a ⋂ c = {4}, and thus n(a ⋃ c)=1.

4 0
3 years ago
Read 2 more answers
How do I round 47,283 to the nearest 100,000
rosijanka [135]

The answer is zero.

Explanation:

The 4 is in the ten-thousands place.

Write the number 47,283 with an additional zero in the 100,000 place.

047,283

To round to the nearest 100,000, all digits to the right of the 100,000 place become zero. That means that the digits 47283 all become zero. Since 4 is less than 5, the digit to its left is not raised by 1, so the 100,000 place digit remains zero, and you end up with 000,000, which is simply 0.

Answer: 0

7 0
3 years ago
This is what I need help with can someone please give me it it's a homework I don't get
Katena32 [7]
The answer looks like it's A.
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