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garri49 [273]
2 years ago
15

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi

ty to see if there is evidence that students study an average of more than 20 hours each week. A random sample of 35 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 35 students studied each week was 21.1 hours. The sample standard deviation of 4.3 hours.
Find the p-value.
The p-value should be rounded to 4-decimal places.
Mathematics
1 answer:
Ann [662]2 years ago
3 0

Answer:

0.0698

Step-by-step explanation:

Given :

Population mean, μ = 20

Sample mean, xbar = 21.1

Sample standard deviation, s = 4.3

Sample size, n = 35

The hypothesis :

H0 : μ = 20

H0 : μ > 20

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (21.1 - 20) ÷ (4.3/√(35))

T = 1.1 ÷ 0.7268326

Test statistic = 1.513

Using the Pvalue calculator :

df = n - 1 = 35 - 1 = 34

Pvalue(1.513, 34) = 0.06976

Pvalue = 0.0698 (4 decimal places)

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Tony leaves his house and rides his bike due north at 12 mph. At the same time, Jake leaves the same house and rides due west at
ElenaW [278]
Tony is 24 miles from the house.
Jake is 10 miles from the house.
They are 26 miles apart.
6 0
3 years ago
The United States consumes 2.6 billion cases of bottled water per year. Assume that each case holds 24 ½-liter bottles. Each cas
rusak2 [61]
So first find the circumfernece of the earth which is 24,901 times 5280 
use a calculator 
24,901 times 5280=131,477,280ft
1 ft=12 inches so 131,477,280 times 12=157,727,360 in
so 157,727,360 divide by the legnth of the case=1,577,727,360/15.1=104,485,255.62914 cases to go around the earth once so 
million=1000 thousand
billion=1000 million
billion=1,000,000,000
2.6 billion=2,600,000,000
so 2,600,000,000/104,458,255.62914=24.88 or rounded up <u>they would go around the earth close to </u><u>25</u><u> times</u>





AREA OF THE BASES
base=legnth times width so 15.1 times 8.3 =125.33 in^2
multiply 125.33 in^2 by 2,600,000,000 and get 325,858,000,000 in^2 or 3.25858 times 10^11=area of the bases

PERIMETER OF THE BASES
perimeter of the bases 2Legnth+2Width times 2.6 billion
2(15.1)+2(8.3)=46.8
46.8 times 2.6 billion=121,680,000,000 inches  or 1.2168 times 10^11= perimeter of all the bases

VOLUME
24 1/2 liter bottles means 24 times 1/2=12 liters in each pack 
2.6 billion times 12=<u>31,200,000,000</u> liters or 3.12 times 10^10
4 0
3 years ago
Write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.
Dovator [93]
I am not good at this so ii wont be able to solve it for ya but i can help you.

So to find the line of best fit you have to pick to pick to points on your scatter plot. Then with those two points you add the y points together then add the x points together. Your equation with be what you got in all y over x. That is your slope. I hope this helped you!
3 0
3 years ago
Un camion transporta aceite de oliva en un deposito con forma de cilindro de 1m de radio y 5m de altura . Si en cada viaje que r
goldfiish [28.3K]

Answer:

15.71 metros cúbicos de aceite transportará el depósito del camión.

Step-by-step explanation:

Un camión transporta aceite de oliva en un deposito con forma de cilindro de 1 m de radio y 5 m de altura.

Para calcular la cantidad de aceite que transportará se debe calcular el volumen del depósito, siendo con forma de cilindro. El volumen de dicha figura es calculada como V=π*r²*h, donde r es el radio y h es la altura.

En este caso, el volumen del depósito cilíndrico es:

V=π*( 1 m)²*5 m

Resolviendo:

V=15,71 m³

<u><em>15.71 metros cúbicos de aceite transportará el depósito del camión.</em></u>

4 0
3 years ago
If you roll a single six-sided die, what is the probability of rolling an odd number?
Kazeer [188]

Answer:

3\6 or ½ or 0.5

Step-by-step explanation:

Hope this helps,

just a cheerful teen willing to help...

6 0
2 years ago
Read 2 more answers
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