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ser-zykov [4K]
2 years ago
14

X = 37.6 I believe. Am I correct or no?​

Mathematics
1 answer:
I am Lyosha [343]2 years ago
7 0
I believe you are correct
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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
2(8a + 5b) -(2a + 3b) Part A: Simplify the expression shown above, and include all necessary work to support your answer. Part B
Alex17521 [72]

Answer:

Total cost = <em>$</em> 4.55

Step-by-step explanation:

2(8a + 5b) -(2a + 3b)

<em>Part A: Simplify the expression shown above</em>

Exapanding the brackets;

16a + 10b - 2a - 3b

Collecting like terms;

16a - 2a + 10b - 3b

14a + 7b

<em>Part B: If a represents apples that cost $0.25 each and b represents bananas that cost SO. 15 each, what is the total cost based on the expression above?</em>

a = 0.25

b = 0.15

14a + 7b

Inserting the values into the equation;

14 (0.25) + 7(0.15)

Total cost = <em>$</em> 4.55

6 0
2 years ago
Write the expression in radical form. b^4/5
Gnoma [55]

Answer:

\sqrt[5]{b}^{2}

Step-by-step explanation:

7 0
2 years ago
Given that <img src="https://tex.z-dn.net/?f=a%5Cneq%20b" id="TexFormula1" title="a\neq b" alt="a\neq b" align="absmiddle" class
xz_007 [3.2K]

Answer:

Step-by-step explanation:

√a+√b=√(a+b)

squaring

a+b+2√a√b=a+b

or 2√a√b=0

which is possible only if a=0 or b=0

Both a and b can't be zero as a≠b

8 0
2 years ago
Which is equivalent to 2^3·2^-5? A) 2-15 B) 2-8 C) 2-2 D) 22
IceJOKER [234]
I hope this helps you

6 0
3 years ago
Read 2 more answers
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