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Over [174]
3 years ago
8

Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar

d deviation of 0.75 hours. You survey a SRS of 100 adult Americans and determine that the mean sleep time is 5 hours. Which Hypothesis Test should be used here?
a. One-sample t-test for means.
b. One-sample z-test for means.
c. One sample z-test for proportions.
d. One sample t-test for proportions.
e. Chi-squared goodness of fit test.
Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer:

b) One sample z-test for means

Step-by-step explanation:

Normal Distribution

we have μ₀ (population mean from previous studies)

sample size    n  =  100

standar deviation of population   σ  = 0.75

And it was determined from sample, that μ = 5 : so we want to know if, at some significance level that value (which is smaller than population mean ) could help in relation to decide about rejecting hypothesis  H₀

We should use a z one tail-test for means (left tail)

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Answer:

x = .98

Step-by-step explanation:

-.5(17x - 24) = 3.4x - 6 + 6.3x

-8.5x + 12 = 9.7x - 6

-18.2x = -18

18.2x = 18

x = .98

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<span>C.) When interest compounds quarterly</span>
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Find an angle measure of angle A and B <br> A (5y-3) <br> C (3y+27)
Mashcka [7]

The measure of angle A and C will be 94.5° and 85.5°.

<h3>How to calculate the angle?</h3>

(5y - 3) + (3y + 27) = 180

Collect like terms

5y + 3y - 3 + 27 = 180

8y = 180 - 27 + 3

8y = 156

y = 156/8 = 19.5

(5y - 3) = (5 × 19.5) - 3 = 94.5

(3y + 27) = (3 × 19.5) + 27 = 85.5

Therefore, the measure of angle A and C will be 94.5° and 85.5°.

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2 years ago
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the proba
Fittoniya [83]

Question:

A = {2, 3, 4, 5}

B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?

A. 0.15

B. 0.20

C. 0.25

D. 0.30

E. 0.33

Answer:

Option B: 0.20 is the probability of the sum of the two integers.

Explanation:

The sample space for selecting 2 numbers is given by

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We need to determine the probability that the sum of two integers will be equal to 9.

Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.

Hence, the sets are (2,7),(3,6),(4,5),(5,4)

Thus, the total number of sets whose sum is equal to 9 = 4

The probability that the sum of the two integers will equal 9 is given by

P=\frac{4}{20}

P=\frac{1}{5}

P=0.20

Thus, the probability that the sum of the two integers will equal 9 is 0.20

Hence, Option B is the correct answer.

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Answer:

you determine net force of an object by using this formula:

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