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4 years ago

PLEASE ANSWER THESE QUESTIONS!!!!! I WILL MARK YOU AS BRAINLIEST!!!!!! :) :)

Mathematics

1 answer:

Dimas [21]4 years ago

6 0

Answer:

I really don't know how to work this problem sorry. I just wanted to say something so you didn't think that I was Ignoring you

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The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt

AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average height = 175 cm

$\sigma$ = population standard deviation = 20 cm

n = sample of men = 40

Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ]

= [ $175-1.96 \times }{\frac{20}{\sqrt{40} } }$ , $175+1.96 \times }{\frac{20}{\sqrt{40} } }$ ]

= [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.

3 0

3 years ago

Solve the inequality for x.

ZanzabumX [31]

Answer:

X > 6

Step-by-step explanation:

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3 years ago

Compare the costs of bike trips from the two companies shown. for both, the cost is a linear function of the number of days. Wh

iren [92.7K]

Answer:

scenic pathways has no sign up fee and a greater cost per day

Step-by-step explanation:

their per day cost is 45 so subtract 45 from day one to get day 0(the sign up fee)

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4 years ago

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Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?

Stels [109]

Right 2 up 3 because when the change happens within x the opposite result happens but for vertical it remains the same . So the answer is right 2, up 3

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3 years ago

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Find a polynomial function that has zeros of -3 and +6

slamgirl [31]

X^2-3x-18
If your zeros are -3 and +6 your factors should be (x+3) and (x-6) then you would multiply it out to get your polynomial which is x^2-3x-18

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3 years ago