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s344n2d4d5 [400]
2 years ago
7

​claim: the mean pulse rate​ (in beats per​ minute) of adult males is equal to 6969 bpm. for a random sample of 125125 adult​ ma

les, the mean pulse rate is 69.269.2 bpm and the standard deviation is 10.910.9 bpm. find the value of the test statistic. the value of the test statistic is nothing. ​(round to two decimal places as​ needed.)
Mathematics
1 answer:
RoseWind [281]2 years ago
4 0

Answer:

t=0.21

Step-by-step explanation:

Given  \bar x=69.2, s=10.9, n=125and a population mean \mu=69.

#We state our hypothesis as:

H_o:\mu=69\\\\H_a:\mu\neq 69

The evidence available should validate either the null or alternative hypothesis.

#We calculate the test statistic as:

t=\frac{\bar x-\mu_}{s/\sqrt{n}}\\\\\\=\frac{69.2-69}{10.9/\sqrt{125}}\\\\\\=0.2051

\approx0.21

Hence, the test statistic is t=0.21

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Step-by-step explanation:

a. 20^2 + 15^2 = 25^2

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The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

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