A researcher is interested in consumer preferences among three brands of yogurt. A sample of 90 people is obtained,

and each individual is asked to taste each brand and then select his/her favorite. The resulting frequency data are as

follows:

Brand A

Brand B Brand C

37

21

32

Do the data indicate any significant preferences among the three brands? Test at the .05 level of significance.

State the null hypothesis (1 point), the expected frequency for each category (3 points), the value of chi-

square (4 points), the df (1 points), the critical value of chi-square (2 points), and the decision regarding

significance (1 points).

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis: all three brands are equally likely to their expected value

The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.

The expected frequency = [tex]f_e[/tex]  

The observed frequency = [tex]f_o[/tex]

[tex]f_e[/tex]                    [tex]f_o[/tex]                      [tex](f_o- f_e)^2[/tex]                       [tex]\dfrac{(f_o - f_e)^2}{f_e}[/tex]

37                   30                       49.00                        1.633

21                    30                        81.00                        2.700

32                   30                         4.00                         0.133

                                                                [tex]X^2 = \sum\dfrac{(f_o-f_e)^2}{f_e} = 4.47[/tex]

Degree of freedom = [tex](n-1)[/tex]

= 3 -1

= 2

At ∝ = 0.05 and df = 2

The critical value [tex]X^2_{0.05, 2}= 5.99[/tex]

Decision rule:

Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.

Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.


Related Questions

WHATS 10/7 divided by 4

Answers

Answer:

10/28

Step-by-step explanation:

Guys help me please I need the solution. Find x and y

Answers

X would be 4 I believe

Which statements are true? Select each correct answer.
A ​ −2 ​ is farther from zero on the number line than ​ −1 ​ , so |−2|>|−1| .
B The absolute value of −2 is positive.
C The absolute value of −2 is less than the absolute value of 2.
D Since −2 is 2 units to the left of 0, |−2|=−2 .

Answers

Answer:

A and B

Step-by-step explanation:

Jazmin is making bags of candy for hollween. Each time she makes a bag she puts in 1/2 pound. If she has 5 pounds of candy how many times can she do this

Answers

Answer:

10

Step-by-step explanation:

could someone help me? thank you <3

Answers

Answer:

<

Step-by-step explanation:

because -4 is greater than -7

Help please!!! will give brainliest

Answers

Answer:

Step-by-step explanation:kytiyfkutfdc

An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?

Answers

Answer:

[tex]150[/tex] potatoes

Step-by-step explanation:

Since the assistant can peel [tex]18[/tex] potatoes in [tex]6[/tex] minutes, we know that he can peel [tex]\frac{18}{6}=3[/tex] potatoes in [tex]1[/tex] minute. Therefore, he will be able to peel [tex]3*50=150[/tex] potatoes in [tex]50[/tex] minutes. Hope this helps!

snog used unitary method to find the answer.

ALITER:-

Given,

Potatoes peeled in 6 minutes = 18

Let, potatoes cooked in 50 minutes = k

Here, more the time passes, the more the assistant peels potatoes.

∴ It is a case of direct variation,

where,

x/y = k (constant)

So, 18/6 = k/50 (potatoes peeled/time)

⇒ k = 3 × 50 = 150 (answer).

40,000 is 10 times as much as

Answers

Answer:

40000=10x4000

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

Just divide 40,000 by 10 and you get 4,000!

I hope this helps and have a great day!


Work out 5/7
of 100.
Give your answer correct to the nearest whole number.

Answers

Answer: 71

Step-by-step explanation: 100x (5\7) = 71.4

Answer:

71.5

Step-by-step explanation:

5/7 of 100=(5×100)÷7=500÷7=71.5

[Calculus] analyze speed from position. Show steps, please!

Answers

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE​

Answers

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

is 11/12 equivalent or greater to 11/13​

Answers

Answer:

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Step-by-step explanation:

Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.

Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Verification :-

[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]

[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]

A triangle has two sides of length 4 and 13. What is the smallest possible whole-number length for the third side?

no trolls!

Answers

Answer:

9 i think but make sure

Step-by-step explanation:

well, a squared+b squared=c squared

       13 squared-4 squared is 9 squared

Which expression is equivalent to 4/6/3/2

Answers

Answer:

the 3rd one

Step-by-step explanation:

I had this question on edgunity

Kim, Mary and Erin made a total of 24 dozen cookies. Mary made twice as many cookes as Erin and Kim made 2 more dozen cookies than Erin. How many cookies did Erin make

Answers

Answer:

Erin made 5.5 dozen cookies.

Step-by-step explanation:

Total cookies made by Kim, Mary and Erin = 24 dozen cookies

Let Erin make cookies = x dozens

Mary made cookies = 2x dozens

Kim made cookies = x+2 dozens

Now, we need to find how many cookies did Erin made.

We can write:

[tex]x+2x+x+2=24[/tex]

Solving the equation we get:

[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]

So, Erin made cookies = x = 5.5 dozens

Mary made cookies = 2x =2(5.5) = 11 dozens

Kim made cookies = x+2 =5.5+2 = 7 dozens

Therefore, Erin made 5.5 dozen cookies.

The function f(x)=2x-6 and g(x) is shown in the table

Answers

Answer:

Multiply then add them and them that's your answer.

Step-by-step explanation:

HELP QUICK FREE BRAINLYEST FOR RIGHT ANSWER

what is 10*5-2+279-57/3*4=?

Answers

1234 ok ok ok ok hehe

Answer:

251 because yes and yes hope it helps

can you help me
3(x+2)=2(x+5)

Answers

Answer: x = 4

Step-by-step explanation:

3(x+2)=2(x+5)

3x + 6 = 2x + 10

x + 6 = 10

x = 4

the answer to your question is x=4

the product of 2 and the difference of a number and 9

Answers

Answer: 2(x-9)

Step-by-step explanation:

You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project? A3 B.6 C. 18 D. 27

I need to know the explanation on how to find the answer out as well, please and thank you.

Answers

Answer:

C

Step-by-step explanation:

3x=210 what's x equal

Answers

x=70, 21 divide 3=7 and then add a 0 from the 210 and get 70.

Answer:

x = 70

:-))

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

Given the following data, find the weight that represents the 54th percentile. Weights of Newborn Babies 7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Answers

Answer:

7.35

Step-by-step explanation:

Given the data:

7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Rearranged data :

5.5, 5.5, 6.1, 6.4, 6.5, 6.7, 6.9, 7.1, 7.6, 7.7, 7.7, 8.0, 8.1, 9.3, 9.4

The 54th percentile :

(54/100) * (n + 1) th term

n = sample size = 15

0.54 * (15 + 1)

0.54 * 16

8.64th term

(8th term + 9th term) / 2

(7.1 + 7.6) / 2

14.7 / 2

= 7.35

please anwser this for me!!

Answers

Answer:

Concept: Functions

In order to be a function, the values must satisfy the qualities stated below.No element in the domain and range of x corresponds to more than one representative value: ie x=2 and y= 8 but it cannot be that x=4 also.No element in the range can represent multiple values Hence we see in the chart that each x represent to a unique y and vise versa.So we determined that this is a function
Yes its a function........

Which is the answer HELP PLEASE

A. 205°
B. 215°
C. 210°
D. 220°

Answers

Answer:

A lol

Step-by-step explanation:

ramona has $21 that she can spend on food for her dog. dry dog food costs 7.50 per small bag

Answers

Answer:

Ramona can buy 2 bags.

Step-by-step explanation:

7.5 x 3 = 22.5. This is over her budget.

Therefore Ramona can buy 2 bags.

You didn't specify what the question was asking for, I'm guessing that this is it.

A sidewalk will be put in around the block. The sidewalk will cover an area of 67,500 square feet and the length will be three times the width. The area is represented by the equation: . Solve for w.

Answers

A = L X W your answer is 43!

area of rhombus is 60m sq.if its perimeter is 40 m sq. find its altitude​

Answers

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m

What’s 65+56+4+-4
;)

Answers

Answer:

119

Step-by-step explanation:

pls help asap no trolls!

Answers

Answer:

YX < YW < XW

Step-by-step explanation:

12v +(v+57) + (v+39) = 180

14v + 96 = 180

14v = 84

v = 6

3 angles from smallest to largest: 72° (12v) (XW) , 63° (v+57)(YW) , 45° (YX)

side length: YX < YW < XW

12x-20=n(3x-5) what does n equal​

Answers

The answer is 4 do you need a step by step explanation or no
the answer is 4 because 12x-20 =4(3x-5)
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