39. The diagram shows Luciana and Tanner's location

A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a populat

eimsori [14]

Answer:

$t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =P(t_{15}>2)=0.0320$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.

Step-by-step explanation:

1) Data given and notation

$\bar X=25$ represent the sample mean

$s=2$ represent the standard deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

Confidence =0.95 or 95%

$\alpha=0.05$

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is higher than 24, the system of hypothesis would be:

Null hypothesis: $\mu \leq 24$

Alternative hypothesis: $\mu > 24$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

Since is a one-side upper test the p value would be:

$p_v =P(t_{15}>2)=0.0320$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.

3 0

3 years ago

A stock with a beta greater than 1.0 has returns that are ________ volatile than the market, and a stock with a beta of less t

djverab [1.8K]

Answer:

more, less

Step-by-step explanation:

Beta is a measure of volatility. It is used in calculating the cost of equity using the CAPM (Capital Asset Pricing Model formula).

A beta greater than 1 signifies that the returns from an investment is expected to be higher than the returns from the general market as the risk inherent in that investment is higher.

Similar to the economic concepts of elasticity, a change in one variable (in this case, beta of the stock) setting about a greater than proportionate change in another variable (returns from the stock).

Thus, a stock with beta of less than 1, will be less volatile than the market.

I hope this helps you understand the concept better.

8 0

3 years ago

1. f(x) = x(x-6)(x+3)

maks197457 [2]

Answer:

x3squared-3x2squared-18x

Step-by-step explanation:

1 Expand by distributing terms.

({x}^{2}-6x)(x+3)(x

2

−6x)(x+3)

2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

{x}^{3}+3{x}^{2}-6{x}^{2}-18xx

3

+3x

2

−6x

2

−18x

3 Collect like terms.

{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx

3

+(3x

2

−6x

2

)−18x

4 Simplify.

{x}^{3}-3{x}^{2}-18xx

3

−3x

2

−18x

5 0

3 years ago

Question:

pishuonlain [190]

There is no rectangle shown.

To find area, you multiply the rectangle’s length by its width. If it comes out to be a decimal and you need to round it by the nearest tenth, then you round it to the right of the decimal point.

Ex: 2.34 -> 2.3

Then, to find how much square inches are equal to square ft, you divide the square inches by 12, I believe.

8 0

2 years ago

Marcia bought a 50 foot roll she used two 8 and 5/6 how much if left

inna [77]

Answer:

vvvvv

Step-by-step explanation:

I suspect two 8 means 8x2, but if it means 2+8, I'll add another answer.

1. 8x2= 16 + 5/6(.83) = 16.83 = 50-16.83= 33.17

ORRRRR

2. 2+8=10+.83= 10.83 = 39.17

8 0

3 years ago