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Basile [38]
2 years ago
14

Which of the following statements are true of irrational numbers?

Mathematics
1 answer:
Blababa [14]2 years ago
7 0
The fourth answer is correct, the rest are incorrect.
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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
Evaluate a + b for a = 12 and b = 6.
den301095 [7]

Answer:

Here,

a= 12

b = 6

Then,

a+b

= 12 + 6

= 18

.°. 18 is the solution

3 0
3 years ago
Read 2 more answers
4 7/8 + (-6 1/4) how do I find common denominators?
kap26 [50]
Find a number that both of the denominates make the same number for example if one denominator is 1/7 and the other is 2/6 then you

2/6 * 7 = 14 over 42 then the other one would be 1/7 *6 which would be 6 over 42 you find common denominators by finding a number both of the bottom ones can equal. hope this helps  
4 0
3 years ago
Please help me with this! worth 50 points! I need you to write it for me....
suter [353]

yes because 6 x 2.49=14.49 and that's less than 20 so you'll have a little over 5 dollars to spare.

3 0
3 years ago
12. A carpenter made two tables. The first table is 4 feet
Arte-miy333 [17]

Answer:

a. True

b. True

c. False

d. False

Step-by-step explanation:

<u>First Table</u>

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

<u>Second Table</u>

The second table is half as long  as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one  fourth the area of the first table.

Area of Second Table =\frac{1}{4} X Area of first table

5w=\frac{1}{4} X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second  table is 2 feet.

(b) The area of the second  table is 10 square feet.

6 0
2 years ago
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