An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675, which test would you use?

a. Z-test of a population mean

b. Z-test of a population proportion

c. t-test of population mean

d. t-test of a population proportion

Answers

Answer 1

Answer:

The Z-test of a population mean is used here because it is given that the population standard deviation is $75. The correct option is a).

Given :

The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
A sample of 30 days reveals a daily average revenue of $625.

Let $\mu$ is the daily average revenue. So:

Null Hypothesis is, $\rm H_0:\mu=$675$

The Alternate Hypothesis is, $\rm H_a : \mu\neq $675$

Here, the Z-test of a population mean is used because it is given that the population standard deviation is $75.

$\rm Test \;Statistics = \frac{\bar{X}-\mu}{(\sigma)/(√(n) )}$

where $\rm \bar {X}$ is the sampleaverage revenue, $\sigma$ is the standard deviation and n is the sample size.

Therefore, the correct option is a).

For more information, refer to the link given below:

brainly.com/question/13245779

Answer 2

Answer:

Answer:

We would use Z-test of a population mean.

Step-by-step explanation:

We are given that an entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625.

And we have to test the hypothesis that the daily average revenue was $675.

Firstly, as we know that testing is always done on the population parameter.

So, let $\mu$ = daily average revenue over the pat 5 years

So, Null Hypothesis, $H_0$ : $\mu$ = $675

Alternate Hypothesis, $H_a$ : $\mu \neq$ $675

Here, null hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is correct.

And alternate hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is not correct.

The test statistics that will be used here is Z-test of a population mean because here we have knowledge of population standard deviation of $75.

Test statistics = $(\bar X-\mu)/((\sigma)/(√(n) ) )$ ~ N(0,1)

where, $\bar X$ = sample average revenue = $625

$\sigma$ = population standard deviation = $75

n = sample of days = 30

Therefore, to test the null hypothesis that the daily average revenue was $675, we should use Z-test of a population mean.

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What are the solutions of this quadratic equation?
x2 − 10x = -34

Answers

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

$x = ( -b \pm √(b^2 -4ac))/(2a)$

Here a = 1

b = -10

c = 34

The roots of the equation are

$x = ( 10 \pm √((-10)^2 -4*34))/(2)$

$\rm x = ( 10 \pm √(-36))/(2)\n\n\nx = 5 \pm 6i$

To know more about Quadratic Equation

brainly.com/question/2263981

#SPJ5

Here it is, step by step:

x^2 - 10x = -34
x^2 - 10x + 34 = 0
We cannot easily factor anything, so we resort to the quadratic equation. The work is attached as an image.

The girls' swim team is hosting a fund raiser. They would like to raise at least $500 . They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items. Write a system of inequalities that models what is going on in this problem. Graph it and find a solution.

Answers

Answer:

x: # of candles

y: # of flower arrangements

Inequality 1: x + y ≤ 200

Inequality 2: 5x + 6y ≥ $500

Step-by-step explanation:

Is -2/3 a rational, irrational, whole, natural, or integer number?(ik its a integer. you can also choose more then one)

Answers

Answer:

it is an integer! yes ik u know that but most teachers want it to be in the smallest group u can put it in but other than that it is a real number and it is rational! A whole number is a number that is a counting number like 0,1,2,3 a natural number is a whole number without 0 like 1,2,3 a irrational number is a number that is a repeating decimal which this number isn't

If this is correct please mark me as the brainiest

Step-by-step explanation:

You have a plate of 50 cookies. Ten have chocolate chips and 14 have pecans. On the cookies mentioned in the preceding sentence, 6 have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has chocolate chips or pecans

Answers

Answer:

The probability is 0.36

Step-by-step explanation:

For calculated the probability that a cookie has chocolate chips or pecans, we need to divide the number of cookies that has chocolate chips or pecans between the total number of cookies.

So, the number of cookies that has chocolate chips or pecans is calculate as: A + B - C

Where A are the number of cookies that have chocolate chips, B are the number of cookies that have Pecans and C are the number of cookies that have both chocolate chips and pecans. Then, the number of cookies that has chocolate chips or pecans is:

10 + 14 - 6 = 18

Finally, the total number of cookies is 50 so the probability is:

$(18)/(50) =0.36$

[Calc1] Help with 2 questions?

(B) What is the least squares regression line

(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.

Answers

Answer:

B) y = -9.98×10⁻⁵ x + 13.95

C) 0.1

Step-by-step explanation:

Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.

The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998. Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.

Can someone pls help me pls

Answers

Answer:

Answer attached

Step-by-step explanation:

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