A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are​ satisfied, determine if there is a price difference between the two stores.

alpha = 0.05 level of significance.

Store 1 Store 2
Product A 5.92 5.85
Product B 7.53 7.93
Product C 3.75 3.98
Product D 1.81 1.71
Product E 1.71 1.96
Product F 2.86 2.58
Product G 4.79 4.74
Product H 3.18 3.69
Product I 3.02 2.87
Product J 3.77 3.68

Required:
a. Use technology to calculate the​ P-value.
b. Draw a conclusion based on the hypothesis test.

Answers

Answer 1

Answer:

The P-value  is 0.04542 which is less than 0.05

Since the calculated value of t does not fall in the critical region so we accept H0 that there is no price difference between the two stores.

Step-by-step explanation:

          Store 1        Store 2        Difference (Store 2-1)        d²

Product A 5.92       5.85             -0.07                                 0.0049

Product B 7.53         7.93               0.4                                    0.16

Product C 3.75             3.98           0.23                             0.0529

Product D 1.81              1.71             -0.1                               0.01

Product E 1.71                1.96           0.25                         0.0625

Product F 2.86               2.58          - 0.28                    0 .0784

Product G 4.79                4.74           -0.05                     0.0025

Product H 3.18                3.69             0.51                     0.2601

Product I 3.02                2.87               - 0.15                         0.0225

Product J 3.77                  3.68                -0.09                      0.0081

∑                                                                 0.65                      0.6619  

1. The degrees of freedom = n-1= 10-1= 9

2. The significance level is 0.05

3.The test statistic is

t= d`/sd/√n

4. The critical region is ║t║≥ t (0.025,9) = 2.262

The null and alternate hypotheses is

H0 : ud= 0 against Ha: ud≠ 0 (two tailed test)

5. Calculations

d`= ∑di/n= 0.65/10= 0.065

Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]

Sd²= 1/9[0.6619-(0.65)²/10] = [0.6619-0.4225/9]= 0.0266

Sd= 0.163

Therefore

t= d`/ sd/√n

t= 0.065/ 0.163/√10

t= 0.3987/3.1622=0.1261

6. Conclusion

Since the calculated value of t does not fall in the critical region so we accept H0 that there is no price difference between the two stores.

Now the P- value:

The P-value is the rejection region. In this test it is on both sides and would add up to be (2.262 + 2.262)/100= 4.542/100

The P-value  is 0.04542 which is less than 0.05


Related Questions

) During the first year Sherry worked as a lifeguard, she was paid at a rate of $12.75 per hour. At the beginning of her second year, she received a 5 percent raise. Which of the following strategies gives the amount of Sherry’s raise?
A) Divide $12.75 by 5 to find the number of cents in Sherry’s raise.
B) Divide $12.75 by 2 to find the number of cents in Sherry’s raise.
C) Divide by 10 by moving the decimal point in $12.75 one place to the left, then divide the result by 5 to find the number of dollars in Sherry’s raise.
D) Divide by 10 by moving the decimal point in $12.75 one place to the left, then divide the result by 2 to find the number of dollars in Sherry’s raise

Answers

Answer:

A

Step-by-step explanation:

We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the number of bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, the number of apples is even, the number of bananas is a multiple of 5, the number of oranges is at most 4, and the number of pears is 0 or 1.

a. What if the 30 were replaced by n?
b. Is there a formula for the number of bags with n pieces of fruit that obey these rules?

Answers

Step-by-step explanation:

For each type of fruit, the corresponding generating function will be:

For apples the generating function will be:

For banana the generating function will be:

For orange the generating function will be:

[tex]\sum_{e 3=0}^{\infty} x^{e^{3}} &=1+x+x^{2}+x^{3}+x^{4}+\ldots \ldots \\

&=\frac{1-x^{5}}{1-x}[/tex]

For pears the generating function will be :

Then the generating function is the product of the factors:

[tex]={c}

n+2-1\\

n \\[/tex]

Therefore, we get

From the given question data,

[tex]h_{n} &=n+1 \\

&=30+1 \\

&=31[/tex]

CONCLUSION:

For h_{n} the value n=30 is the answer.

The price of apples at a farm is $3.85 per pound. Which equation can be used to determine c, the total price of n pounds of apples? (5 points)

a
\large c=\frac{3.85}{n}

b
c = 3.85n

c
c = 3.85 + n

d
c = 3.85 − n

Answers

Answer:

 

c = 3.85n

Step-by-step explanation:

I GOT IT RIGHT ON THE TEST ON GOD NO CAP RANGE ROVER SPORTS TRUCK

Stephen Curry makes 43.5% of his 3 point shots. In a typical season, Curry takes around 700 3 point shots. Assume Curry takes 700 3 point shots in the 2020 season, and those shots are independent and can be modeled using the binomial theorem. (Hint: Don't forget the continuity correction!)
a. Find the probability that Curry makes less than 300 3 point shots.
b. Find the probability that Curry makes more than 350 3 point shots.

Answers

Answer:

a. Find the probability that Curry makes less than 300 3 point shots.

The polynomial equation x3 - 4x²+2x+10 - 42 -5x-3 has complex roots 3 + 21. What is the other root? Use a graphing
calculator and a system of equations.
O-3
O-1
O 3
O 10

Answers

9514 1404 393

Answer:

  B.  -1

Step-by-step explanation:

The graphing calculator shows the left-side function intersects the right-side function at x = -1.

was it warmer at 3:00 p.m. or 9:00 p.m.​

Answers

Answer:

3:00pm

Step-by-step explanation:

Cause the sun is out

3 p.m.

This is the answer

Evaluate the function f(x) = {1 - 3x} for f (-2).

A: 5
B: 7
C: 6
D: 4​

Answers

Answer:

f(-2)=(1-3×-2)

f(-2)=1+6

f(-2)=7 ans

given that log 8=0.931,log9=0.9542.fimd the value of log60​

Answers

9514 1404 393

Answer:

  log(60) = 1.7781

Step-by-step explanation:

60 = 3·2·10 = (√9)(∛8)(10)

log(60) = (1/2)log(9) +(1/3)log(8) +1 = 0.9542/2 +0.9031/3 +1

log(60) ≈ 1.7781 . . . . accurate in all digits shown

_____

It appears that the problem statement has a missing digit in the log of 8. It is actually about 0.9031, so that is the value we used above.

There is a line whose slope is 10 and whose y -intercept is 6. What is its equation in slope -intercept form?

will give brainiest! <3

Answers

Answer:

The equation is y = 10x + 6.

Step-by-step explanation:

In a slope-form equation, y = mx + b, m represents gradient and b is y-intercept. Given that slope is 10 and y-intercept is 6. So the equation will be y = 10x + 6.

Answer:

y = 10x + 6

Step-by-step explanation:

slope-intercept (a.k.a. y-intercept) form is y = mx + b

m represents the slope and b represents the y intercept, so when writing in slope-intercept form, just replace m and b with that information.

F(2)=?
Find it please

Answers

Answer:

- 2

Step-by-step explanation:

f(2) = - 2

In your own words, explain what treating your credit card like cash means.

Answers

Answer:

It means that you need to not use a lot of money on your credit card. When you have cash, you can only use the money that you have while on a credit card, you don't really have a limit to your use of money.

:)

Step-by-step explanation:

Treating your credit card like cash means always spending the money from a credit card carefully, as we do in cash. Because spending exceeding money can cause you in debt.

What are credit cards and cash?

A credit card is a card that is used to spend money that is paid afterward. These cards are issued by banks so that we can spend money when we want to.

It suggests you shouldn't put a lot of money on your credit card. When you have cash, you can only spend what you have, whereas, with a credit card, you have no restrictions on how much money you can spend.

Therefore, treating your credit card like currency entails always spending money from a credit card with caution, just as we do with cash. Because spending too much money can lead to debt.

To learn more about credit cards, refer to the link:

https://brainly.com/question/29107455

#SPJ2

The price of a television is marked down for a weekend sale. After the sale is over, the price of the television is back to its original price. Are the percent of decrease and the percent of increase the same? Explain your thinking​

Answers

9514 1404 393

Answer:

  No. The bases for computing percentages are different.

Step-by-step explanation:

Suppose the original price is $100 and it is marked down 20%. Then the amount of markdown is 0.20×$100 = $20. The marked-down price is then $100 -20 = $80.

After the sale, the price increase of $20 is computed using the base price of $80:

  increase % = $20/$80 × 100% = 25%

The percentage decrease and increase are different because they are computed using different numbers as the reference.

__

Additional comment

The closer to zero the percentages are, the closer they are to being the same. A 1% markdown will equate to a 1.010101...% markup, for example.

Plz plz plz plz help me out

Answers

Answer: 60

Step-by-step explanation:

you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.

Answer:

60 passengers.

Step-by-step explanation:

From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.

How do you find the Area of a pentagon

Answers

Answer:

Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don't know the perimeter, calculate it from the side length: p = 5s, where s is the side length.

Step-by-step explanation:

Answer:

I think base times hight

The cost of pens varies directly as the number of dozens purchased. If 4 dozen cost $10.60, then how much will 7 dozen pens cost?

Answers

18.55 is the answer to this question

Answer:

18.55

Step-by-step explanation:

17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
the radius of the base of the cone

Answers

Answer:

[tex]r = 3.74cm[/tex]

Step-by-step explanation:

Given

Hemisphere

[tex]Radius = 7cm[/tex]

Cone

[tex]Height = 49m[/tex]

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

[tex]V_1 = \frac{2}{3}\pi r^3[/tex]

Substitute 7 for r

[tex]V_1 = \frac{2}{3}\pi * 7^3[/tex]

[tex]V_1 = \frac{2}{3}\pi * 343[/tex]

[tex]V_1 = \frac{686}{3}\pi[/tex]

Volume (V2) of a cone is:

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Because the lead is cast into a cone, then they have the same volume.

So, we have:

[tex]\frac{686}{3}\pi = \frac{1}{3}\pi r^2h[/tex]

[tex]686 = r^2h[/tex]

Substitute 49 for h

[tex]686 = r^2 * 49[/tex]

Divide both sides by 49

[tex]r^2 = \frac{686}{49}[/tex]

[tex]r^2 = 14[/tex]

[tex]r = \sqrt{14[/tex]

[tex]r = 3.74cm[/tex]

Hence, the radius of the cone is 3.74cm

Scott bought 6 shirts that each cost the same amount. Before sales tax was added, his total bill was $80.94. How much did each shirt cost

Answers

Answer:$13.49

Step-by-step explanation:

$80.94 / 6 = $13.49

The answer is thirteen dollars and forty nine cents. $13.49

PLEASE HELP I NEED THIS ASAP!!!!!

Answers

Answer:

last one

Step-by-step explanation:

ik dis promise I think

plz have me as brainiest

Ethan plots points showing equivalent ratios on the coordinate plane below. 40 30 20 10 He makes this table to show the equivalent ratios. 2. 4 2 у 10 20 35 40​

Answers

Answer:

The answer would be 6

Step-by-step explanation:

i am taking the test and got 6 as the correct answer.

Answer:

6

Step-by-step explanation:

Given the drawing as shown below and that p || q, which of the following cannot be supported by the evidence shown?

A - B - C - D -

Answers

Answer:

D

Step-by-step explanation:

The angle of B is not near angle D at all. They're supplementary, not the same.

Perform the indicated operations:

Answers

Answer:

B. x+1 / x+9

Step-by-step explanation:

3i(4 - I) + i(6 + 2i)

Answers

Answer:

-1 + 18i

Step-by-step explanation:

⟺ Distribute 3i and i in the expressions.

[tex]12i-i^2+6i+2i^2\\i^2+18i[/tex]

⟺ The define of complex number is

[tex]i^2=-1[/tex]

Thus, convert i² to -1

[tex]-1+18i[/tex]

Help on this one please

Answers

Hope this might help

In a random survey of 50 students at Great Middle school,32 said chocolate was their favorite flavor of yogurt.The school has 450 students.How many of them are likely to select chocolate as their favorite flavor?

Answers

Answer:

288 I think

Step-by-step explanation:

450 divided by 50 is 9

9 times 32 is 288

I might be wrong

just in case

sorry!

The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones

Answers

Answer:

RIP chadwick

Step-by-step explanation:

Twelve hours because he’s a fast panther

please somebody help me please i really need help plz don't wanna fail it please help really need help please will mark the brainliest and more points please help please please please please help please please​

Answers

Answer:

what does the first one say? its too hard to read

what is the value of 6/15 ÷ 2/3? write your answer in simplest form​

Answers

Answer:

pretty sure its 3/5

Step-by-step explanation:

....................

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{6}{15}[/tex] = [tex]0.4[/tex]

[tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex]

[tex]0.4[/tex] ÷ [tex]0.6666666667[/tex] = [tex]0.6[/tex]

[tex]or[/tex]

[tex]\frac{6}{15}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]?[/tex]

[tex]\frac{2}{3}\cdot\frac{5}{5}[/tex] = [tex]\frac{10}{15}[/tex]

[tex]\frac{6}{15}\div\frac{10}{15}[/tex] = [tex]?[/tex]

[tex]\frac{3}{5}[/tex] = [tex]Answer[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

if angle 1 = 70 degrees, find the angle 3.

Answers

the total will be 120 degrees <3. Hope this helped !.

20.3 = -2.9c
c=?
I am really in a hurry. If you know how to finish it, please tell me how to do it. Thank you.

Answers

C would equal the number 7

Aline's
y -intercept
is7,anditsslopeis
–1
3
. What
isitsequationin
slope -intercept
form?

Answers

Answer:

y = -1/3 + 7

Step-by-step explanation:

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