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nikdorinn [45]
3 years ago
15

X = 10 - y

Mathematics
1 answer:
victus00 [196]3 years ago
6 0
I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye bye
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Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey
tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 7 hours

Sample mean, \bar{x} = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s =  0.55 hours

First, we design the null and the alternate hypothesis

H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59

c) Now,

t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301

Since,                    

t_{stat} < t_{critical}

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that  mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0
3 years ago
Solve by completing the square<br> -x^2+8x-6=0
Svetllana [295]
-x² + 8x - 6 = 0
x = <u>-(8) +/- √((8)² - 4(-1)(-6))</u>
                     2(-1)
x = <u>-8 +/- √(64 - 20)</u>
                 -2
x = <u>-8 +/- √(44)
</u>              -2<u>
</u>x = <u>-8 +/- 2√(11)
</u>              -2
x = <u>-8 + 2√(11)</u>         x = <u>-8 - 2√(11)
</u>             -2                            -2<u>
</u>x = 4 - √(11)             x = -8 + √(11)
6 0
3 years ago
PLEASE HELP ME 16 POINTS PLEASE HELP
lorasvet [3.4K]

Answer:

A.

Step-by-step explanation:

6 0
3 years ago
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Unit rates can be helpful with creating a ratio table and plotting the equivalent ratios on a coordinate plane. Explain why. PLE
uysha [10]

Answer:

Unit rate is often a useful means for comparing ratios and their associated rates when measured in different units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one quantity per one unit of the second quantity. This value of the ratio is the unit rate.

3 0
2 years ago
Please help!!!!!
Naya [18.7K]
Your answer is 80. A triangle’s angles add up to 180 degrees. Therefore, you need to subtract 30 and 70 from 180 to find your answer: 180-(30+70)=80 or 180-70-30=80
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