Departmental Store Agora claims that their mean weekly sales of Aerosol were at most 2,400 packages over the past 6 months and population distribution is unknown. The manager wants to check if the sales have decreased in recent times. He obtained a random obtained sample of sales data from 61 stores and found that the sample mean is 3,593 packages with sample standard deviation 4919. At 7% significance level, using critical value approach see if the claim is true or not.

Answers

Answer 1

Answer:

There is enough statistical evidence to suggest that the department's claim is not true

Step-by-step explanation:

The mean weekly sales μ₀ ≤ 2,400 packages

The period over which the weekly sales were measured = Over the last 6 months

The number of stores in the sample, n = 61 stores

The sample mean, [tex]\overline x[/tex] = 3,593

The sample standard deviation, s = 4919

The significance level = 7% = 0.07

The critical value approach

The null hypothesis, H₀; μ ≤ μ₀

The alternative hypothesis, Hₐ; μ > μ₀

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

We get;

[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]

With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t,  = 1.495598

The p-value at the test statistic is between 0.01 and 0.005

Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.

Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages


Related Questions

Which expression simplifies to 5v3?

Answers

Answer:

D.

Step-by-step explanation:

Answer:

D. V15

Step-by-step explanation:

Someone please help me

Answers

Answer:

y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)

Step-by-step explanation:

these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.

help? could someone help me with this?

Answers

Answer:

A, C, And F

Step-by-step explanation:

2w^2 - 15w + 19 = 0

Quadratic Formula

Answers

Answer:

x=5.886 , x=1.614

Step-by-step explanation:

Given data

2w^2 - 15w + 19 = 0

a= 2

b= -15

c= 19

The expression for the Quadratic Formula is

x=(-b±√(b²-4ac))/(2a)

substitute

x=(-(-15)±√((-15)²-4*2*19))/(2*2)

x=(15±√225-152))/(4)

x=(15±√73))/(4)

x=(15±8.544))/(4)

x=(15+8.544))/(4) , x=(15-8.544))/(4)

x=23.544/4 , x=6.456/4

x=5.886 , x=1.614

hey! i’ll give brainliest pls help.

Answers

Answer:

hello there!

The correct option should be the second option and the fourth option!

Step-by-step explanation:

comets usually come from the kuiper belt, and the oort cloud.

anyways, hope this helped! qwq

the oort cloud and the kuiper belt - hope this helped!

|(2,9)
J (79)
00 -
H(25)

Answers

Answer:

what  :(

Step-by-step explanation:

Please help and add explanation

Answers

Answer:

y=-3x+10

Step-by-step explanation:

Since you know that the equation of the line is perpendicular to 1/3, you have to find the inverse of 1/3. You swap the denominator and numerator and make the number negative. In this case, it will be -3. Now that you know the slope is -3, you can use the equation y-y1=m(x-x1) where m is the slope. We know that the point (2,4) is in the graph so we can plug it into the equation. y-4=m(x-2). We know that the slope is -3 so we can plug it into the equation. y-4=-3(x-2). Simplify this to get y-4=-3x+6. Simplify this to get y=-3x+10. This means that the answer is y=-3x+10.

If this has helped you please mark as brainliest

Please help me with this problem.

Answers

Answer:

c)

Step-by-step explanation:

her score represents the median and the median divides the data into halves (lower 50% and upper 50%)

Solve the following:
There are 500 students in school . 40% of them are boys and rest are girls. What is the percentage of girls? Also find the numbers of boys and girls in the school.​

Answers

Answer:

300 girls, 200 boys

Step-by-step explanation:

To find boys: 500 x 0.4 = 200

To find girls: 500 x 0.6 = 300

60% girls

What solution to the system? Write the x-value and the y-value
10x+7y=1
-5x-7y=24

Answers

Answer:

y = - 7 and x = 5

Step-by-step explanation:

10x + 7y - 5x - 7y = 1 + 24

5x = 25

5x ÷ 5 = 25 ÷ 5

x = 5

- 5(5) - 7y = 24

- 25 - 7y = 24

- 25 + 25 - 7y = 24 + 25

- 7y = 49

- 7y ÷ - 7 = 49 ÷ - 7

y = - 7

PLS HELP ASAP
In how many ways can a starting team of 5 players be chosen from a team of 14 players?

Answers

Answer:

So are we doing permutations

Step-by-step explanation:

P(14,5)14*13*12*11*10

There are 240,240 ways to order the team.

There are 240 ways a starting team of 5 players can be chosen from a team of 14 players.

What are permutations?

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

Suppose there are n items.

Suppose we have

[tex]i_1, i_2, ..., i_k[/tex]

sized groups of identical items.

Then the permutations of their arrangements is given as

[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]

P(14,5) = 14 x 13 x 12 x 11 x 10

           = 240

There are 240 ways to order a team of 14 players.

Learn more about permutations here:

https://brainly.com/question/16107928

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An NBA fan named Mark claims that there are more fouls called on his team any other team, but the commissioner says that the number of fouls called against his team are no different than any other team. Mark finds that the average number of fouls in any game in the NBA is 11.5. He takes a random sample of 34 of games involving his team and finds that there are an average of 12.2 fouls against his team, with a standard deviation of 1.6 fouls. What is the correct conclusion

Answers

Answer:

Fouls > Average Fouls

Step-by-step explanation:

Null Hypothesis [ H0 ] : Fouls = Average Fouls ie 11.5

Alternate Hypothesis [ H1 ] : Fouls > Average Fouls

t =  ( x - u ) / ( s / √n )

where x = actual observed mean = 12.2 here , u = assumed population mean = 11.5 , s = sample standard deviation = 1.6 , n = sample size = 34

So, t = (12.2 - 11.5 ) / ( 1.6 / √34 ) = 0.7 /  ( 1.6 / 5.83 ) = 0.7 / 0.275 = 2.55

t tabulated value for α = 5% right tailed = 1.645 , ie < calculated value 2.55 So , we reject the null hypothesis, & conclude that 'Fouls > Average Fouls'

Does the question have no solution, one solution, or a infinite number of solutions?
2x + 3y = 6
2x + 3y = 7

Answers

Answer:

No solution

Step-by-step explanation:

I used this online calculator to find the answer. It shows the steps and everything.  https://www.symbolab.com/solver?or=gms&query=2x%2B3y%3D62x%2B3y%3D7

Answer:

no solution

Step-by-step explanation:

find the area of the kite.

A. 27 square units
B. 40 square units
C. 18 square units
D. 36 square units

Answers

Answer:

36 unit^2.

Step-by-step explanation:

The area is the sum of the 2 triangles with each having base between the points (-2,4) and (-2,-4).

The base is4 - -4 = 8.

Area of a triangle = 1/2 * base * height.

Area of the kite = 1/2 * 8 * 3 + 1/2 * 8 * 6

= 12 + 24

= 36.

PLEASE HELP ASAP!!!

Answers

Answer:

4. x=0 x=5

5. x=-4 x=8

From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year. The owner believes the weights of the apples will be heavier than usual and therefore the crop will be more profitable. This will allow the owner to expand the orchard. The owner takes a random sample of 30 apples and records their mean weight. What is the consequence of a Type I error in this situation?

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually greater than 140 grams.
The owner believes the crop will not be more profitable and does not expand the orchard when the true mean weight of the apples is actually greater than 140 grams.
The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.
The owner believes the crop will not be more profitable and does not expand the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Answers

Answer:

C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Step-by-step explanation:

Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

What are the hypotheses test?

At the null hypotheses, it is tested if the weights are not heavier, that is:

[tex]H_0: \mu = 140[/tex]

At the alternative hypotheses, it is tested if they are heavier, that is:

[tex]H_1: \mu > 140[/tex]

A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

More can be learned about Type I and Type II errors at https://brainly.com/question/25225353

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Help me plssss I rlly need the answer to this

Answers

149___________________
72 degrees
Step by step explanation : 103-31=72

hi! please help. thank you!

Answers

Answer:

Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:

[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]

Step-by-step explanation:

Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:

[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]

1) [tex](7\cdot x - 3) + 3 = (2\cdot x + 7) + 3[/tex] Associative property/Compatibility with addition

2) [tex]7\cdot x + [3 + (-3)] = 2\cdot x + (7 + 3)[/tex] Associative and commutative properties/Definition of subtraction

3) [tex]7\cdot x + 0 = 2\cdot x + 10[/tex] Existence of the additive inverse/Definition of addition

4) [tex]7\cdot x = 2\cdot x + 10[/tex] Modulative property/Result

Which alternative is the reciprocal of 2? *
A.-2
B. -1/2
C. 1/2
D.2

Answers

Answer:

I think the answer is C

Help help yes plsssssssss

Answers

5x-3=c Is your answer

Dave made two boxes. The sides of the second box are each of the sides of the first box How are the volumes of the two boxes related?​

Answers

Answer:

1/9

Step-by-step explanation:

I figured it out

A PlayStation 5 originally sells for $499.99. If you can only find them on eBay for $899.99, what is the percent of increase from the original price?

Answers

Answer:

There would be an 80% increase from 499.99 to 899.99.

[tex]\frac{x+1}{x-4} -\frac{x+1}{x^{2} ^}-7x+12[/tex]

Answers

(x+1)/(x-3) hope this helps!

connie sells lemonade for $0.25 per small cup and $0.75 per large cup. if she sells 20 small cups how many large ones must she sell to make $8.00

Answers

Answer:34

Step-by-step explanation:

pls helllllllllllllpppppppppp mmmmmmmmeeeeee

Answers

Answer:

Hello! answer: 36

Step-by-step explanation:

6 × 7 = 42 3 × 2 = 6 42 - 6 = 36 therefore the area is 36 hope that helps!

Answer:

40cm^2

perimeter:24cm

Step-by-step explanation:

Area: First of all, you can see that the missing height of the shape is 3cm. By adding 4 and 3, you get 7. Then, by multiplying 7 and the length of the shape (6cm), you get 42cm^2. After that, you have to multiply 2cm and 3cm to get the blank area in the bottom right corner to get 6cm^2. Finally, you can subtract 42cm^2(the whole area) by 6cm^2 (the blank area) to get 40cm^2.

Perimeter: Okay! To get the first missing measurement (the one on the left), you have to imagine 4cm being moved to that side. 3cm is parallel to the missing blank space under the 4cm. This means you have to get 7cm (you add 4 and 3). To get the other missing measurement (bottom of the shape) you must see that 6cm would be parallel to the bottom. Since 2cm is also parallel to the bottom, you would have to subtract 2 from 6 to get the bottom of the shape's length, which is 4. Finally, you would have to add 6, 4, 3, 2, 4 and 7 together to get 24cm.

Help help me please with this no links please

Answers

Answer:

N is perpendicular to M

Step-by-step explanation:

Because N and P are parallel, p is perpendicular to M, N is also perpendicular to M

there are 5 green balls, 1 yellow ball,and 4 red balls in a bag. what are the probabilities?
choosing a red:
not choosing yellow:
choosing a blue:​

Answers

Answer:

it is green balls=5

red balls =4

red +green

5+9

=14

Find the volume of the cone, round your answer to the nearest hundredth. Use 3.14
for t.
9
-2-0
units

Answers

Answer: 37.7un^3

Step-by-step explanation:

Volume = 1/3πr^2h

=1/3×π×22×9

=12π

= 37.699111843078 feet3

Miguel weighs himself and discovers he weighs 83,600 grams. How many kilograms does Miguel weigh?

Answers

the answer is 83.6 , move the decimal

The solution is, 83.6 kilograms does Miguel weigh.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

here, we have,

given that,

Miguel weighs himself and discovers he weighs 83,600 grams.

now.,, we have to find that how many kilograms does Miguel weigh.

we know that,

1000 grams = 1 kg

so, we have,

he weighs 83,600 grams

so,

as, 1000 grams = 1 kg

so, 1 gram = 1/1000 kg

we get,

83,600 grams =  1/1000 * 83,600 kg

i.e. 83,600 grams = 83.6 kg

Hence, 83.6 kilograms does Miguel weigh.

To learn more on unit conversion click:

brainly.com/question/19420601

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PLEASE HELP
WILL GIVE BRAINLIEST

Answers

Answer:

Decimal form: 7.25

Mixed Number: 7 1/4

Step-by-step explanation:

9 3/4 = 39/4 (times 9*4 then add 3, keep the denominator).

2 1/2 = 5/2 (times 2*2 then add 1, keep the denominator).

39/4 - 5/2

29/4 (simplify)

ANSWER- 7 1/4

Answer:

7 1/4

Step-by-step explanation:

I learned this in like 5th grade lol.

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