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3 years ago

If the p-value = 0.008, what conclusion can be drawn?

Mathematics

1 answer:

Paladinen [302]3 years ago

3 0

Answer: option A is correct, we accept the null hypothesis.

Step-by-step explanation:

At a 5% level of significance, p = 0.05, therefore when p < 0.05, accept the null hypothesis (H°) and reject the alternative hypothesis (H¡). When p > 0.05, we reject the null hypothesis (H°) and accept the alternative hypothesis (H¡)

Given the p-value to be 0.008, this is less than the 5% threshold, that is, 0.05, hence we accept the null hypothesis.

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The inside diameter of a randomly selected piston ring is a random variable with mean value 8 cm and standard deviation 0.03 cm.

S_A_V [24]

Answer:

a) P(7.99 ≤ X ≤ 8.01) = 0.8164

b) P(X ≥ 8.01) = 0.0475.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 8, \sigma = 0.03$

(a) Calculate P(7.99 ≤ X ≤ 8.01) when n = 16.

n = 16, so $s = \frac{0.03}{4} = 0.0075$

This probability is the pvalue of Z when X = 8.01 subtracted by the pvalue of Z when X = 7.99. So

X = 8.01

$Z = \frac{X - \mu}{\sigma}$

Applying the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.01 - 8}{0.0075}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

X = 7.99

$Z = \frac{X - \mu}{s}$

$Z = \frac{7.99 - 8}{0.0075}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.9082 - 0.0918 = 0.8164

P(7.99 ≤ X ≤ 8.01) = 0.8164

(b) How likely is it that the sample mean diameter exceeds 8.01 when n = 25? P(X ≥ 8.01) =

n = 25, so $s = \frac{0.03}{5} = 0.006$

This is 1 subtracted by the pvalue of Z when X = 8.01. So

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.01 - 8}{0.006}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

P(X ≥ 8.01) = 0.0475.

4 0

3 years ago

The difference between 22 and x

lukranit [14]

Answer:

22-x

Step-by-step explanation:

you dont know what x is, so you would just do 22-x

3 0

3 years ago

Find the intersection point between the lines of equations:<br><br>2x-y+6=0 and 2x+3y-6=0

Ugo [173]

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

$\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0$

On subtracting the given equations we have,

$\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3$

Put this value in any equation , we have ,

$\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5$

Hence the lines will Intersect at ,

$\implies\underline{\underline{ Point=(-1.5, 3)}}$

8 0

2 years ago

Read 2 more answers

I need help with numbers 20,21,and22

julsineya [31]

Answer:

20) the answer is -43

21) the answer is 25

22)the answer is -5

Step-by-step explanation:

20) $\frac{p(p+n^{2})}{6}$

n=-7

p=-6

we have:

$\frac{-6*(-6+(-7)^{2})}{6}\\\\\frac{-6*(-6+49)}{6}\\\\\frac{-6*(43)}{6}\\\\\frac{-258}{6} \\-43$

21) mp-(p-(m-n))

m= -1 n=-6 p=-10

-1*-10-(-10-(-1-(-6)))

10-(-10-(5))

10-(-15)

10+15=25

22) $m-\frac{m+m}{2} - n$

m=1 n=5

1- $\frac{1+1}{2} -5$

1- 2/2 -5

1-1-5 =-5

6 0

3 years ago

Is this graph odd, even , or neither <br><br> Drop answers pls

valina [46]

Answer:

even

Step-by-step explanation:

6 0

3 years ago