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Tanzania [10]
3 years ago
15

Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the populatio

n standard deviation is and that you have a sample of 55 observations. If you are going to conduct this test at the .01 level of significance what is the critical value?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

Answer:

The critical value of <em>t</em> at 0.01 level of significance is 2.66.

Step-by-step explanation:

The hypothesis for the two-tailed population mean can be defined as:

<em>H₀</em>: <em>μ </em>= <em>μ₀</em> vs. <em>H₀</em>: <em>μ </em>≠ <em>μ₀</em>

It is provided that the population standard deviation is not known.

Since there is no information about the population standard deviation, we will use a <em>t</em>-test for single mean.

The test statistic is defined as follows:

t_{cal.}=\frac{\bar x-\mu}{s/\sqrt{n}}\sim t_{\alpha/2, (n-1)}

The information given is:

<em>n</em> = 55

<em>α</em> =<em> </em>0.01

Compute the critical value of <em>t</em> as follows:

t_{\alpha/2, (n-1)}= t_{0.01/2, (55-1)}=t_{0.005, 54}=2.66

*Use a <em>t</em>-table for the value.

If the desired degrees of freedom are not provided consider he next highest degree of freedom.

Thus, the critical value of <em>t</em> at 0.01 level of significance is 2.66.

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Question 696338: Please I need help solving an algebra: solving proportions
CHARITY Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of much of a $100-allowance will he give to a charity?
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Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of a $100-allowance will he give to a charity?
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x/100 = 5/35
----
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What is the coefficient of the xy term in the expression below? <br> 2x + 3y - 4xy - 10
alukav5142 [94]

For this case we have the following expression:

2x + 3y-4xy-10

By definition, a coefficient is the term that accompanies one or more variables.

For example:

3x + 5

The coefficient of the linear term is 3.

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Answer:

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Step-by-step explanation:

First, set up the equation. Each shirt (x) is sold for $16:

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The cost is $4, with the setup fee as $60.

(16)(y) = (4)(y) + 60

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Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.

16y (-4y) = 4y (-4y) + 60

16y - 4y = 60

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Next, isolate the variable (y). Divide 12 from both sides.

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5 shirts must be sold.

To check, plug in 5 for y in the equation:

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Simplify.

16(5) = 4(5) + 60

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80 = 80 (True).

~


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