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Alekssandra [29.7K]
3 years ago
5

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Use a 0.05 s

ignificance level to test for a difference between the measurements from the two arms. What do you conclude? Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal.
Right arm
102
101
94
79
79
Left arm
175
169
182
146
144
Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer:

The p value is lower than the significance level given \alpha=0.05, so then we can conclude that we can reject the null hypothesis that no difference between the two measures. So there is a significant difference between the measurements from the two arms.

Step-by-step explanation:

We assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. So for this case is better apply a paired t test.  

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=test value with right arm , y = test value with left arm

x: 102, 101, 94, 79, 79  

y: 175, 169, 182, 146, 144  

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

The first step is calculate the difference d_i=y_i-x_i and we obtain this:

d: 73, 68, 88, 67, 65

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{361}{5}=72.2

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =9.311

The 4 step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{72.2 -0}{\frac{9.311}{\sqrt{5}}}=17.339

The next step is calculate the degrees of freedom given by:

df=n-1=5-1=4

Now we can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(4)}>17.339) =6.49x10^{-5}

The p value is lower than the significance level given \alpha=0.05, so then we can conclude that we can reject the null hypothesis that no difference between the two measures. So there is a significant difference between the measurements from the two arms.

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Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

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Find the point on the plane 4x+3y+z=10 that is nearest to​ (2,0,1). What are the values of​ x, y, and z for the​ point? x= 28 /
MariettaO [177]

Answer:

\frac{1}{\sqrt{26}}.

Step-by-step explanation:

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Step-by-step explanation:

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Lines AB and BC intersect at point B. Ray BD bisects angle ABC. (4x-24) B (x+6) What is the value of x?
Verizon [17]

If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23

The line AB and BC are intersecting at point B.

Ray BD bisect the  angle ABC

∠ABD = x+8 degrees

∠ABD=∠DBC = x+8

Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal

∠ABD+∠DBC= 4x-30 degrees

Because both are vertically opposite angles

Substitute the values in the equation

x+8 + x+8 = 4x-30

2x+16 = 4x-30

2x-4x = -30-16

-2x = -46

x = 23

Hence, if line AB and BC are intersecting at point B and ray BD bisect  the angle ABC, then the value of x is 23

The complete question is

Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?

Learn more about angle here

brainly.com/question/28451077

#SPJ1

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