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Pani-rosa [81]
3 years ago
14

The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online stu

dents is older than 26.6. She randomly surveys 56 online students and finds that the sample mean is 29.4 with a standard deviation of 2.1. Conduct a hypothesis test.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

hope this help good luck

Step-by-step explanation:

a. H0: μ = 26.6

b. Ha: μ > 26.6

c. Let x = the mean age for online students at De Anza College.

d. Student’s t-distribution

e. 9.98

f. p-value = 0.0000

g. Check student’s solution.

h. i. Alpha: 0.01        

ii. Decision: Reject the null hypothesis.        

iii. Reason for decision: The p-value is less than 0.01.        

iv. There is sufficient evidence to conclude that the mean age of online students at De Anza College is greater than 26.6 years.i. (28.8, 30.0)

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The parabola y = x² - 4 opens: <br> A.) up <br> B.) down<br> C.) right<br> D.) left
fomenos

Answer:

Up

Step-by-step explanation:

Here the easy rules to remember the orientation of the parabolas are

a) If x is squared it opens up or down. And its coefficient of {x^{2}[tex] is negative it opens down.b) If y is squared it opens side ways right or left. It its coefficient of [tex]y^{2}

Hence in our equation of parabola

y = x^ 2-4

x is squared and its coefficient is positive , hence it opens up towards positive y axis.

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Select the correct answer. Select the place where the digit 5 sits in this number. 952,832,744 A. hundred millions B. one billio
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Count the amount of digits from right to left:

The digit 5 appears at the eighth position.

Remember that the 7th position is for millions. So, the eighth position is for ten millions.

Therefore, the place where the digit 5 sits in the number 952,832,744 is ten millions.

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Combining the like terms, the simplified polynomials are given as follows:

a) 4x² - 14x + 17

b) -5x² - 20x + 8

<h3>How are polynomials simplified?</h3>

Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.

Item a:

4(x - 2)(x + 1) - 5(2x - 5)

Applying the distributive property:

4(x² - x - 2) - 10x + 25

4x² - 4x - 8 - 10x + 25

Combining the like terms:

4x² - 4x - 10x - 8 + 25

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Item b:

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-5x² - 20x + 8

More can be learned about the simplification of polynomials at brainly.com/question/24450834

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