Determine whether you would reject or fail to reject the null hypothesis in the following situations: a. t = 2.58, N = 21, two-tailed test at α = 0.05 b. t = 1.99, N = 49, one-tailed test at α = 0.01 c. μ = 47.82, 99% CI = (48.71, 49.28) d. μ = 0, 95% CI = (-0.15, 0.20) pg. 160

Answers

Answer 1

a. t = 2.58, N = 21, two-tailed test at α = 0.05:

To determine whether to reject or fail to reject the null hypothesis, we need to compare the calculated t-value to the critical t-value from a t-distribution with N - 1 degrees of freedom at the given alpha level.

For a two-tailed test at α = 0.05 with 21 degrees of freedom, the critical t-value is approximately ±2.080.

Since the calculated t-value of 2.58 is greater than the critical value of 2.080, we would reject the null hypothesis.

b. t = 1.99, N = 49, one-tailed test at α = 0.01:

For a one-tailed test, the critical value is based on the tail of the distribution where the alternative hypothesis is located.

At α = 0.01 and 49 degrees of freedom, the critical value for a one-tailed test is approximately 2.404.

Since the calculated t-value of 1.99 is less than the critical value of 2.404, we would fail to reject the null hypothesis.

c. μ = 47.82, 99% CI = (48.71, 49.28):

The confidence interval (CI) gives us a range of values that the population mean is likely to be within. In this case, we have a 99% CI, which means that there is a 99% chance that the true population mean falls between 48.71 and 49.28.

Since the null hypothesis typically states that the population mean equals a certain value, in this case, 47.82, we can conclude that we would reject the null hypothesis.

d. μ = 0, 95% CI = (-0.15, 0.20):

The confidence interval in this case gives us a range of values that the population mean is likely to be within. Since the null hypothesis typically states that the population mean equals a certain value, in this case, 0, we can conclude that we would fail to reject the null hypothesis, since the interval includes 0.

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Answer:

1/15

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1/5 divided by 3

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 -------

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Answer: 5¹/₄ cups of dog food

Step-by-step explanation:

There are seven days in a week.

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Answer:

Hope this helps! Have a great day!

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

[tex]y = \frac{x}{2}-\frac{13}{2}[/tex]

Rewrite

[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]

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y-intercept: [tex](0, -\frac{13}{2})[/tex]

good luck, hope this helps :)

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Answers

Answer:

Kindly check explanation

Step-by-step explanation:

A common problem with most research designs is bias, which could be introduced win several ways one if which is the favored selection of certain variables rather than being randomized. In the scenario above, the sampling time frame introduces a bias into the design as the tune span of pesticide use does not allay with that of the exposure history of the respondent. Therefore an entire lifetime evaluation of one variable and just 20 years evaluation of the other introduces a sampling bias into the research design. Similarly, evaluation the type of pesticide usage over certain time period may need to be considered as the effect of very old pesticides may differ from those used very recently.

If A = 56, then find c

Answers

Answer:

Since A= 56 then B=56 so A+B=112

The whole tringle must be 180 degrees

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Hey there!

The answers are as follows:

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m∠1 = 60

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9.)

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Have a terrifcly amazing day!

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A. A solution to the equation x
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B. A solution to the equation x
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D. A solution to the equation x
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I’m pretty sure it’s D

Answer:

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Step-by-step explanation:

a x + b y is equal to 12​

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Answer:

y= -a*x + 12

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Step-by-step explanation:

ax+by=12 (subtract "ax" from both sides so that the one on the left will become zero and we will have "by" )

by= -ax+12(divide both side by "by" so that we will have the equation as "y=mx+b")

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Answers

The initial amount was 200 dollars.

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Answers

Answer:

D. 28,923

Step-by-step explanation:

We are given four numbers and are asked to find out which number is odd.

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Answer:

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Answer:

Step-by-step explanation:

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A

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Ć
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P
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11
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b
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On a team, 4 girls and 2 boys scored a total of 28 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 2 boys is 12. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy Each girl scored points.​

Answers

Answer:

Each girl earned 2 points

Each boy earned 5 points

Step-by-step explanation:

Let x represent the number of points one girl earned

Let y represent the number of points one boy earned

4x + 2y = 28

4x - 2y = 12

8y = 40

y = 5 points

4x + (2)(5) = 28

4x + 20 = 28

4x = 8

x = 2 points

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Step-by-step explanation:

Help due tonight

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Answers

Answer:

I have solved it in elimination method if you need it in another method let me know.

Step-by-step explanation:

3x+y=21

-x-y=5

2x=26

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38

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Range is the largest number minus the smallest number

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which function defines the sequence -16,-22,-28,-34 where f(10)= -70

Answers

Answer:

f(n) = -6n - 10.

Step-by-step explanation:

This is arithmetic sequence with first term a1 = -16 and common difference d = -6.

So f(n) = a1 + d(n - 1)

= -16 - 6(n - 1)

= -16 - 6n + 6

= -6n - 10.

Checking:

f(10) = -6(10) - 10 = -70.

The function that defines the sequence is f(n) = -6n - 10.

What is an Arithmetic Sequence ?

A sequence of numbers which have a relation between them and the consecutive numbers increase or decrease by a fixed amount is called as an Arithmetic Sequence.

The sequence given is -16,-22,-28,-34

This is arithmetic sequence

first term a1 = -16

common difference d = -6.

The nth term of an arithmetic sequence is given by

f(n) = a1 + d(n - 1)

f(n) = -16 - 6(n - 1)

f(n)= -16 - 6n + 6

f(n)= -6n - 10.

To verify this

f(10) = -6(10) - 10 = -70.

Therefore , The nth term is given by f(n)= -6n - 10.

To know more about Arithmetic Sequence

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What is the value of: (3.3) + (-1) - (-1.7)

Answers

Answer:

4

Step-by-step explanation:

3.3 + -1 is 2.3

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write the equation of the line in fully simplified slope-intercept form.

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Step-by-step explanation:

świnka pepapomoże to zmieniam o tym zakładem ubezpieczeń i bankowości elektronicznej na tablecie i

Y= -4x -5 hope this helps do the work yourself next time
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