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viktelen [127]
3 years ago
12

A Walton College of Business graduate, wants to start a hot dog stand on Dickson Street. He needs to raise $15,000 for start-up

supplies and equipment. He believes that in order to be successful, he would need to sell more than 300 hot dogs on average per night. He creates a survey and stands on Dickson Street asking people to state whether or not they would buy a hot dog. He notices that the demand increases significantly after midnight. Sixty people complete his survey and based on their feedback, he purchases the supplies and equipment. He opened his stand and after the first two weeks he wants to analyze his sales. He is open 5 days a week and finds the average number of hot dogs sold is 335 with a standard deviation of 50. Is he meeting his original goal to be successful? Assume a 5% level of significance for this question. "The critical value is" _________?
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

Yes, he is meeting his original goal to be successful.

The critical value is 1.833

Step-by-step explanation:

H0: mu = 300

Ha: mu > 300

The test is a one-tailed test because the alternate hypothesis is expressed using greater than.

Test statistic (t) = (sample mean - population mean) ÷ (sample sd/√n)

sample mean = 335

population mean = 300

sample sd = 50

n = 2×5 = 10

t = (335 - 300) ÷ (50/√10) = 35 ÷ 15.81 = 2.21

Degree of freedom = n-1 = 10-1 = 9

Significance level = 5%

Critical value corresponding to 9 degrees of freedom and 5% significance level is 1.833.

Conclusion:

Reject the null hypothesis because the test statistic 2.21 is greater than the critical value 1.833.

His original goal to be successful is contained in the alternate hypothesis, therefore, he is meeting it.

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Cos 35º sin 55° + cos 55° sin 35°
Tresset [83]

Answer:

1

Step-by-step explanation:

CosASinB + SinACosB

Sin(A+B)

Sin(35+55) = Sin(90) = 1

5 0
3 years ago
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Find center,foci and vertices of ellipse for 4x2+y2+2x-10y=6
grandymaker [24]

Answer:

center:

(-0.25, 5)

foci :

(-0.25, 0.158771) | (-0.25, 9.84123)

vertices :

(-0.25, -0.59017) | (-0.25, 10.5902)

wolframramalpha

8 0
1 year ago
I have done 14 projects so far, and gotten 100% on all of them.
mariarad [96]
100x14=1400
1400 divided by 15=93.3
So your grade would still be a low A
5 0
2 years ago
A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 22 inches and a height of 66 inches
icang [17]

Answer:

The height of the new cones will be 16.5 inches.

Step-by-step explanation:

We know that,

The volume of a cone is,

V=\frac{1}{3}\pi r^2 h

Where, r is the radius of the cone,

h is the height of the cone,

In the original cone,

r = 22 inches,

h = 66 inches,

Thus, the volume would be,

V_1=\frac{1}{3}\pi (22)^2(66)

Also, for the new cone,

r = 44 inches,

Let H be the height,

So, the volume of the new cone would be,

V_2=\frac{1}{3}\pi (44)^2(H)

According to the question,

V_2=V_1

\implies \frac{1}{3}\pi (44)^2(H)=\frac{1}{3}\pi (22)^2(66)

\implies H=\frac{22^2(66)}{44^2}=(\frac{22}{44})^2\times 66 = \frac{66}{4}=16.5

Hence, the height of the new cones will be 16.5 inches.

7 0
3 years ago
Write an equation in point slope and slope intercept form of a line that passes through the given point and has the given slope
Evgesh-ka [11]

Answer:

Point-Slope: y+4=-\frac{1}{2}(x+3)

Slope-Intercept: y=-\frac{1}{2}x-\frac{11}{2}

Step-by-step explanation:

The point-slope formula is y-y_{1}=m(x-x_{1}  ). The slope-intercept formula is y=mx+b. Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

y-(-4)=-\frac{1}{2}(x- (-3))

y+4=-\frac{1}{2} (x+3)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

y+4=-\frac{1}{2}x-\frac{3}{2}

y=-\frac{1}{2}x-\frac{11}{2}

6 0
3 years ago
Read 2 more answers
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