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3 years ago

Which of the following about the normal distribution is not true?

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer:

Normal distribution is a Continuous distribution.

Step-by-step explanation:

Normal Distribution:

The following information is true about normal distribution.

Theoretically, the mean, median, and mode are the same.

Its parameters are the mean, mu, and standard deviation, sigma.

About two thirds of the observations fall within plus or minus 1 standard deviation from the mean.

But normal distribution is not a discrete distribution. It is a continuous distribution.

The normal distribution is a continuous probability distribution. This has several implications for probability.
The probability that a normal random variable X equals any particular value is 0.

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A random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used. A survey of 500 randomly selecte

vodka [1.7K]

Answer:

We conclude that the mean Ohio score is below the national average.

Step-by-step explanation:

We are given that a random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used.

A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation is 3.

Let $\mu$ = mean Ohio scores.

So, Null Hypothesis, $H_0$ : $\mu$ $\geq$ 21.1 {means that the mean Ohio score is above or equal the national average}

Alternate Hypothesis, $H_A$ : $\mu$ < 21.1 {means that the mean Ohio score is below the national average}

The test statistics that would be used here One-sample z test statistics as we know about population standard deviation;

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

where, $\bar X$ = sample mean Ohio score = 20.8

$\sigma$ = population standard deviation = 3

n = sample of Ohio = 500

So, test statistics = $\frac{20.8-21.1}{\frac{3}{\sqrt{500}}}$

= -2.24

The value of z test statistics is -2.24.

Now, at 0.1 significance level the z table gives critical value of -1.2816 for left-tailed test. Since our test statistics is less than the critical values of z as -2.24 < 1.2816, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean Ohio score is below the national average.

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4 years ago

Help please!!

Semenov [28]

D. No because two points with the same x value have different y values. A function cannot have one x equal different y

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3 years ago

Convert -3pi/10 to degrees

ipn [44]

we know there are 180° in π radians, how many degrees then in -3π/10 radians?

$\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ x&-\frac{3\pi }{10} \end{array}\implies \cfrac{180}{x}=\cfrac{\pi }{~~-\frac{3\pi }{10}~~}\implies \cfrac{180}{x}=\cfrac{\frac{\pi}{1} }{~~-\frac{3\pi }{10}~~} \\\\\\ \cfrac{180}{x}=\cfrac{\pi }{1}\cdot \cfrac{10}{-3\pi }\implies \cfrac{180}{x}=-\cfrac{10}{3}\implies 540=-10x\implies \cfrac{540}{-10}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -54=x~\hfill$

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4 years ago

For the equation, y=-x+4 tell whether its graph passes through the first quadrant. Explain how you know. Please help asap!

marysya [2.9K]

Yes it does because when you graph it the next point would be (1,0).

4 0

3 years ago

Easy Question! 5pts + branliest for the correct answer!

Advocard [28]

Answer:

Step-by-step explanation:

For the two digit numbers it has to end in a zero or five and be greater than 9 and below 100.

There are 18 multiples of 5 that are 2 digit

For multiples of 7... it's easier to write it out because the total number will will less than 20.

There are 13 multiples of 7 that are 2 digits

Now you have to subtract the multiples of 7 that end in a 0 or 5

That give you 11 multiples

Add 11 and 18 to get 29

5 0

3 years ago

Read 2 more answers

Which of the following about the normal distribution is not​ true?

Which of the following about the normal distribution is not true?