Swati recorded this data set, which contains an outlier. 163, 97, 184, 199, 169, 175 What numbers represent the lower and upper
2 answers:
You might be interested in
Answer:
(a) Null Hypothesis, :
or
Alternate Hypothesis, :
or
(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.
Step-by-step explanation:
We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.
A different random sample of 1,100 drivers found 96.9% compliance."
<em />
<em>Let </em><em> = proportion of drivers that were in compliance initially</em>
<em> = proportion of drivers that were in compliance one year later</em>
(a) <u>Null Hypothesis</u>, :
or
{means that there is not any statistical difference in these two proportions measured initially and then one year later}
<u>Alternate Hypothesis</u>, :
or
{means that there is a statistical difference in these two proportions measured initially and then one year later}
The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;
T.S. = ~ N(0,1)
where, = sample proportion of drivers in compliance initially = 98.9%
= sample proportion of drivers in compliance one year later = 96.9%
= sample of drivers initially = 1,250
= sample of drivers one year later = 1,100
(b) So, <u><em>the test statistics</em></u> =
= 3.33
<u>Now, P-value of the test statistics is given by;</u>
P-value = P(Z > 3.33) = 1 - P(Z 3.33)
= 1 - 0.99957 = <u>0.00043</u>
Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.
<em>Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis.</em></u>
Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.
rule says that 28 % of your total income should be spent on Housing finances and 36 % of your gross total income should be spend for Debts.
Annual Salary = $ 60,750
Maximum mortgage payment=28% of $ 60,750
Maximum ,mortgage payment allowed for someone with an annual salary of $60,750= $ 1,701.00→→→Option (C)
Answer:
a) distance halfway = 16.49 [m], displacement halfway = 10.5 [m]
b) distrance traveled increases when the child completes one circuit of the track.
Step-by-step explanation:
a) Distance is a scalar quantity that tells you how much space a body has covered when moving. Displacement is a vector quantity that tells you how far from its initial position and object is after moving.
In this case, the child goes around the track only halfway from point 1 to point 2. We know the circunference or perimeter of a circle to be 2*PI*radius. We also know the child only when halfway, so we need to divide the perimeter by 2, thus we get distance = PI*radius
- distance halfway = (PI)*(5.25) = 16.49 [m]
And now that we know the definition of displacement, we can easily see that the child went from point 1 to point 2 which is located at a distance of 1 diameter from point 1:
- displacement halfway = D = 2*radius = 2(5.25) = 10.5 [m]
b)What happens to the distance when the child completes one circuit? The distance will increase beause he is now completing the circuit so he is covering more ground in his movement:
- distance circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]
32.99 is more than 16.49 so we are certain that the distance increases.
