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klio [65]
3 years ago
8

​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample of 125 adult​ males,

the mean pulse rate is 68.3 bpm and the standard deviation is 11.4 bpm. Find the value of the test statistic.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

0.6865

Step-by-step explanation:

test statistic is given by the formula

test statistic =\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}

where \bar{x}= mean of the sample

μ= mean

n= sample space

σ= standard deviation

we have given mean of sample  \bar{x} =69

mean μ=68.3

σ=11.4

sample space=125

putting all these value in formula of test statistic

test statistic=\frac{69-68.3}{\frac{11.4}{\sqrt{125}}}

=0.6865

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A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates
KIM [24]

Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:

P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}     (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)

We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

Then, if we calculate every probability using eq. 1, we get:

P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

P(x ≤ 4) = 0.028968

Finally, P(x ≥ 5) is:

P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

3 0
2 years ago
Determine the range of the function $f(x) = -4x^2-8x-6$. Enter your answer in interval notation.
saveliy_v [14]

Answer:[tex]y=-4x^2 -8x-6

Step-by-step explanation:

6 0
3 years ago
I need help with this one I’m not so sure about my answer (〒﹏〒) <br> 8+10v–4v
Ket [755]

Answer:

8+6v

Step-by-step explanation:

Hey There!

So all you have to do is combine like terms (10v and -4v)

10v-4v=6v

So your answer would be 8+6v

6 0
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ohaa [14]

Please find the attachment for a better understanding of the explanation to this question.

As we can see from the diagram attached, the X axis represented by XX' and the Y axis represented by YY' intersect each other at the origin represented by O. Further, we notice that this intersection is at the angle 90 degrees or in other words the intersection is perpendicular. Thus, we have seen that the the x and y axes in the xy plane intersect perpendicularly. And hence, the answer is TRUE.

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3 0
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Gelneren [198K]
A solid estimate would be 790,000,000
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