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jarptica [38.1K]
3 years ago
13

1. Many Alpine ski centers base their calculations of revenues and profits on the belief that the average skier ski’s four times

a year with a population standard deviation of 2. To investigate this belief a random sample of 63 skiers was drawn and each participant was asked to report the number of times they skied last year. This yielded a mean of 4.84. Can we infer at the 10% significance level that the assumption of ski centers is wrong?
Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

We cannot infer at the 10% significance level that the assumption of ski centers is wrong

Step-by-step explanation:

The null hypothesis for this question can be stated as  

Null hypothesis H0:  =4  

Alternate hypothesis Ha:  

The test is two tailed

Standard Deviation –  

 = 2

z=(4.84-4)/(2/sqrt(63))

=3.33

Z(0.1/2)=1.645 is less than Z =3.334

Hence, we will reject H0  

Hence, the average growth skier ski’s four times a year is not true  

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4 0
3 years ago
Read 2 more answers
Y=10x+100 what is the independent and dependent variable in this equation
valentina_108 [34]

Answer:

In this equation X is independent variable while Y is dependent variable.

Step-by-step explanation:

Equation:

Y=10x+100

Independent variable in math:

A variable in an equation that may have its value freely chosen without considering values of any other variable.

Dependent variable in math:

A dependent variable is a variable in an expression, equation, or function that has its value determined by the choice of value of other variable.

<u>According to above definitions Y is dependent of x. As we changes the value of x the value of Y changes.</u>

For example if x = 1, Y will be 110.

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6 0
3 years ago
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece
nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that \sigma = 10

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{10}{\sqrt{n}}

\sqrt{n} = 1.96*10

(\sqrt{n})^2 = (1.96*10)^2

n = 384.16

Rounding up:

A sample size of 385 is needed.

7 0
3 years ago
Proponents of rational expectations theory argued that, in the most extreme case, if policymakers are credibly committed to redu
jarptica [38.1K]

Answer:

The answer is zero or option D.

Step-by-step explanation:

Proponents of rational expectations theory argued that, in the most extreme case, if policymakers are credibly committed to reducing inflation and rational people understand that commitment, and quickly lower their inflation expectations, the sacrifice ratio could be as small as 0.

5 0
3 years ago
Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth.​
sesenic [268]

Answer

Area of a circle is defined as

Area of a circle is defined asA = πr²

Area of a circle is defined asA = πr²Where

Area of a circle is defined asA = πr²WhereA is the area of the circle

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circle

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = r

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 in

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.p

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.pTherefore

Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.pThereforer = 10.55 inches

4 0
2 years ago
Read 2 more answers
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