Solve the proportion equation. X 10 45 9 = X = (Type a whole number or a decimal.)

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t

Amanda [17]

Answer:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

$df = n-1= 22-1=21$

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

$\bar X=33.9$ represent the sample mean

$s=4.1$ represent the sample standard deviation

$n=22$ sample size

$\mu_o =26$ represent the value that we want to test

$\alpha=0.025$ 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)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:

Null hypothesis: $\mu \geq 36$

Alternative hypothesis: $\mu < 36$

The statistic is given by:

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

And replacing we got:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

Now we can calculate the critical value but first we need to find the degreed of freedom:

$df = n-1= 22-1=21$

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0

2 years ago

A DVD player that normally cost $160 is on sale for 70% of its normal price.What is the sale price of the DVD player.

maw [93]

160 $ = 100%
x $ = 70%

100 x = 11200
x = 112

160,00 - 112,00 = 48,00$

7 0

2 years ago

Anyone play fortnite because my mom took it from me And I don’t have anything to do now and the reason she took it was because s

Nat2105 [25]

Does this have anything to do with school? Do you need help sir?

6 0

2 years ago

Would anyone please be able to help me??

Svetllana [295]

Answer:

Area of first shape = 97cm^2

Area of second shape = 506cm^2

Area of third shape =143 cm^2

First shape :

i. Area if rectangle in the fig. = l*b

= 12*4

= 48 cm^2

Now, in the same fig. we construct a line and make it a square,

ii. Area of square = s*s

= 7*7

= 49 cm^2

Area of whole shape = 48cm^2 + 49cm^2

= 97 cm^2

Second Shape :

i. Area of the rectangular shape(above one)

= l*b

= 29*14

= 406 cm^2

ii. Area of the rectangle (stick like shape)

= l*b

= 20*(29-24)

= 20*5

= 100 cm^2

Area of whole shape = (100 + 406) cm^2

= 506 cm^2

Third shape :

i. Area of the triangle = 1/2 *b* h

= 1/2 * 13 * 6

= 39 cm^2

ii. Area of the square = s*s

= 13*8

= 104 cm^2

Area of whole shape = (104 + 39) cm^2

= 143 cm^2

Hope it helps!

4 0

2 years ago

Read 2 more answers

Estimate the difference by rounding to the nearest thousand and 35,792-24,700 to

coldgirl [10]

36,000-25,000= 11,000

8 0

3 years ago

Solve the proportion equation. X 10 45 9 = X = (Type a whole number or a decimal.) ​

Solve the proportion equation. X 10 45 9 = X = (Type a whole number or a decimal.)