Find the slope of the line whose equation is 5y = x - 3. 5 -3 -3/5 1/5

At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening

pav-90 [236]

Answer:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

$p_v =2*P(z>4)=0.0000633$

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$\sigma=3.5$ represent the population standard deviation

$n=49$ sample size

$\mu_o =21$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:

Null hypothesis: $\mu = 21$

Alternative hypothesis: $\mu \neq 21$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z>4)=0.0000633$

Conclusion

When we compare the significance level $\alpha=0.1$ we see that $p_v$ so we can reject the null hypothesis at 10% of significance. So the the true mean is difference from 21 at this significance level.

8 0

3 years ago

What is the probability that a randomly chosen person from this group is a

SVEN [57.7K]

Answer:

0.26 or C

Step-by-step explanation:

Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26

5 0

2 years ago

Please help :) will give brainliest

Natasha_Volkova [10]

Answer:

(x-2)(3x²-4 )

Step-by-step explanation:

First, you multiply 3x and 8 to equal 24x²
Then, you find the variables that equal -10x (-2x, and -12x)
then replace the -10x with the two variables you found (3x²-2x-12x+8)
Sperate the variable (3x²-2x) and (-12x+8)
Find the GCF of both x(3x-2) and -4(3x-2) (the binomial in the parentheses MUST BE THE SAME
Replace one of the parentheses with x-4
Answer: (x-2) (3x-4)