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WINSTONCH [101]
3 years ago
8

A politician is running for a state representative position. She wants to know what her chances of winning are.

Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:Yeet

Step-by-step explanation:

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Elena is doing a fund-raising mailing for her after-school drama club. She decides to include a brochure in 80% of the letters s
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First of all, Elena is kinda dumb why put brochures on only 80%? Nevertheless, 400 letters will not contain a brochure. If you need an explanation just comment that you need one on this.
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If lines p and q are perpendicular and the slope of line p is 2 what is th slope of line q
miss Akunina [59]

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3 years ago
Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.00
Bingel [31]

Answer:

We conclude that the standard deviation of the diameter of a golf ball is less than 0.005 inch.

Step-by-step explanation:

We are given that a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.005 inch.

Assume that the population is normally distributed: 1.678, 1.681, 1.676, 1.684, 1.676, 1.679, 1.681, 1.681, 1.677, 1.676, 1.681, 1.683.

Let \sigma = <u><em>population standard deviation of the diameter of a golf ball.</em></u>

SO, Null Hypothesis, H_0 : \sigma \geq 0.005 inch     {means that the standard deviation of the diameter of a golf ball is more than or equal to 0.005 inch}

Alternate Hypothesis, H_0 : \sigma < 0.005 inch     {means that the standard deviation of the diameter of a golf ball is less than 0.005 inch}

The test statistics that would be used here <u>One-sample Chi-square test statistics</u>;

                            T.S. =  \frac{(n-1)s^{2} }{{\sigma^{2} }}  ~ \chi^{2} __n_-_1

where, s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 0.00281 inch

           n = sample size = 12

So, <u><em>the test statistics</em></u>  =  \frac{(12-1)\times 0.00281^{2} }{{0.005^{2} }}  ~ \chi^{2} __1_1

                                     =  3.47

The value of chi-square test statistics is 3.47.

Also, the P-value of test statistics is given by the following formula;

                P-value = P( \chi^{2} __1_1 < 3.47) = 0.0182

Since, the P-value of the test statistics is less than the level of significance as 0.0182 < 0.05, so we reject our null hypothesis.

<u>Now, at 0.05 significance level the chi-square table gives critical value of 4.575 at 11 degree of freedom for left-tailed test.</u>

Since our test statistic is less than the critical value of chi-square as 3.47 < 4.575, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that the standard deviation of the diameter of a golf ball is less than 0.005 inch.

7 0
3 years ago
What is the equation for the axis of symmetry of a parabola?
nlexa [21]

Answer:

The graph of the parabola is represented by the quadratic function

y = a( x - p )2 + q which has an axis of symmetry represented by the equation of the vertical line x = p.

Step-by-step explanation:

4 0
3 years ago
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