Answer:
Step-by-step explanation:
Katie plans to paint the entire surface of the box. What is the surface area of the prism that Katie will paint? (Note: 12 inche
s = 1 foot)
1 answer:
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Answer:
(A) For this research we made use of the paired t test.
(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and 1972 as against the alternate Hypothesis Hₐ.
From the output data we have, since the P value is 0.024 and is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.
Note:Kindly find an attached copy of the complete question below.
Step-by-step explanation:
Solution
Recall that:
The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women (LFPR).
We are more interested in if there was a difference between female participation 1968 and 1972, a rapid change in women.
so we will check values for 19 randomly selected cities for 1968 and 1972,
Now,
(a) Which of this test is most appropriate for this data
The test which will be more suitable for these data will be paired to test t.
Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.
In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.
(b)By using the test you selected, explain your conclusion
Now, to test the data paired t test, we have already the null Hypothesis H₀: In this case there is no difference between the average labor force participation rate for women between the years of 1968 and 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and 1972.
However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.
In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.
Note: kindly find an attached copy of the complete question to this solution
below.
Answer:
407 mi/h
Step-by-step explanation:
Given:
Speed of plane (s) = 470 mi/h
Height of plane above radar station (h) = 1 mi
Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.
Consider a right angled triangle representing the above scenario.
We can see that, the height 'h' remains fixed as the plane is flying horizontally.
Speed of the plane is nothing but the rate of change of horizontal distance of plane. So,
Now, applying Pythagoras theorem to the triangle, we have:
Differentiating with respect to time 't', we get:
Now, when the plane is 2 miles away from radar station, then D = 2 mi
Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,
Now, plug in all the given values and solve for . This gives,
Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.
