Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams.
Assume that software has determined the p-value to be.02.
What would your decision be on this hypothesis test if everything is the same except that we change the level of significance for the test to.01?
Fail to reject the null hypothesis at the 1% level of significance.
Reject the null hypothesis at the 1% level of significance,

Answers

Answer 1

Answer:

The calculated value   t = 2.5>2.326 at 0.01 level of significance

The null hypothesis is rejected at a 0.01 level of significance.

Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving

Step-by-step explanation:

Step(i):-

Given that the average  of dietary fiber per serving μ = 3 grams

Given that the mean of the sample x⁻ = 3.4 grams

Given that the standard deviation of the sample (S) = 0.8 grams

Level of significance = 0.01

Critical value = 2.326

Step(ii):-

Null hypothesis: H₀:  μ = 3 grams

Alternative Hypothesis: H₁: μ ≠ 3 grams

Tets statistic

               [tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]t = \frac{3.4-3 }{\frac{0.8}{\sqrt{25} } }[/tex]

             t = 2.5

The calculated value   t = 2.5>2.326 at 0.01 level of significance

The null hypothesis is rejected at a 0.01 level of significance.

Final answer:-

Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving


Related Questions


Distributive Property step by step 3x(x-1) tHxs

Answers

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Distributive Property:                                                                                           3x(x) + 3x(-1)Multiply:                                                                                                                3x² - 3x

Are these ratios equivalent?
1 teacher to 9 students
5 teachers to 45 students

Answers

Answer: yes the ratios 1:9 and 5:45 are equivalent.

Step-by-step explanation:

1:9*5:5=5:45

U got any more math questions that I can answer? I’m really bored and I have to stay busy!

Solve the following right triangle. Round to the nearest tenth.

Answers

You can try 110 if it’s not that then try 920

What is the approximate value of this logarithmic expression?

Answers

9514 1404 393

Answer:

  B.  1.80

Step-by-step explanation:

The change of base formula can be used.

  [tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]

_____

Some calculators can compute the value for you directly.

−4x + 2y < 10 in slope intercept

Answers

Answer:

y < 2x + 5

Step-by-step explanation:

The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.

help. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?​

Answers

Answer:

d. what school do you go to?

Step-by-step explanation:

Using the commutative property, fill in the information necessary to make this a true statement. Solve: 5 × 8 = ×

Answers

Answer: 8*5

Step-by-step explanation: Because the comutative property says you can like, switch up the orders of the numbers in a thing and it is still trye. So 5*8=8*5.

The expression using the commutative property is

5 x 8 = 8 x 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The commutative property states that,

a x b = b x a

Now,

Using the commutative property,

5 x 8 is equal to 8 x 5.

Thus,

5 x 8 = 8 x 5

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Can someone solve for x? And maybe explain it in a simple way?

Answers

Answer:

x=10

Step-by-step explanation:

Because of the two parallel lines, the ratio between the sides must be the same.  Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio.  Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too.  If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.

12/18=x/(x+5)

then cross multiply and solve

12(x+5)=18x

12x+60=18x

60=18x-12x

60=6x

10=x

Answer:

x=10

Step-by-step explanation:

You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.

[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]

Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2

Answers

Answer:

23x +2

Step-by-step explanation:

20x + 3x + 2 = 23x + 2, also close ur curtains ouch

Based on the information given, the value of the expression is 23x + 2.

From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:

= (4 × 5)x + 3x + 2

= 20x + 3x + 2

= 23x + 2

Learn more about equations on:

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10% of ___ is 14

what is the number

Answers

Answer:

140 :)

Hope this helps

Step-by-step explanation:

Tell me if I am right

If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?

Answers

Answer:

1 taco is $4

Step-by-step explanation:

2t + 3d = 14              4t + 6d = 28

3t + 2d = 16              -9t -6d = -48

-5t = -20

t = 4

A tacos would cost $4.00.

Let the cost of tacos be T.Let the cost of drinks be D.

Translating the word problem into an algebraic equation, we have;

[tex]2T \; + \; 3D = 14[/tex]   ......equation 1

[tex]3T \; + \; 2D = 16[/tex]   ......equation 2

To find how much a tacos cost, we would solve the above system of equations by using the substitution method.

From eqn 1, we would make D the subject of formula;

[tex]D = \frac {14 \; - 2T}{3}[/tex]  .....equation 3

Substituting eqn 3 into eqn 2, we have;

[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]

Lowest common multiple (LCM) = 3

[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]

Cross-multiplying, we have;

[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]

Tacos, T = $4.00

Therefore, the cost of a tacos is $4.00.

For more insight, visit: https://brainly.com/question/15257233

A bag of potatoes weighs 15 pounds. How many kilograms is this?​

Answers

Answer:

6.8 kg

Step-by-step explanation:

1 pound = 0.4536 kg

15(0.4536) = 6.804

I don’t know how to do this at all

Answers

9514 1404 393

Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

xwt and vwy, the third one is correct

what is the area of the composite figure

Answers

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

Are 20,30, and 16 the sides of a right triangle? Please show workkk

Answers

Yes 20,30, and 16 is the sides of a right triangle

1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost

Answers

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

[tex]$C= 0.12x+0.08y$[/tex]

Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]

Domain : [tex]$3 \leq x\leq 7$[/tex]

Range : [tex]$0\leq y\leq4$[/tex]

Evaluate the expression: –5 + 280 + 62.

Answers

Answer:

the answer is 337

Step-by-step explanation:

-5 + 280 + 62

= 337

Answer:

337

Step-by-step explanation:

-5 plus 280 is 275

275 + 62 is...

337

What is the volume? 3 m 1 m cubic meters​

Answers

Answer:

9 cubic meters

Step-by-step explanation:

V = lwh

V = 1 by 3 by 3

Answer:

9 cubic meters

Step-by-step explanation:

1x3x3=9

How is solving a two-step INEQUALITY similar to and different from solving a two-step EQUATION?

Answers

Answer:

there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .

the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol

Step-by-step explanation:

just explained it above

hope I helped ! pls mark me brainlest if I got it right thanks :)

10. A tractor costs $13,650 and depreciates in value by 14% per year. How much will the tractor be worth after
10 years?
a $2,597.86 b. $13,510.00 c. $3,020.77 d. $50,603.57

Answers

The answer is B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Factor 7/10 out of 7/10z+21.

7/10z+21=

Answers

Answer:

1/100 (1471 z + 2100)

0.01 (1471 z + 2100) the result I got

and the Factorization over the splitting field:

14.71 z + 21

which table shows a relationship between the values of x and y that represents a linear function?

Answers

The second one where 0,0 and 3,1 and 9,9


What is the area of the parallelogram
shown above?
[?] square feet

Answers

Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²

The length of a rectangle is 4 inches less than its width and the area is 21 square inches. Find
the smallest dimension of the rectangle.

Answers

7 as width and 3 as length

Find the least common multiple (LCM) for the pair of numbers 6 and 18 ​

Answers

Answer:

the lcm is 6

Step-by-step explanation:

6 divided by 3 is 1

18 divided by 3 is 6

6 becomes 3 and 2

Answer:

18

Step-by-step explanation:

Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM

According to a survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour (to 4 decimals)

Answers

Answer:

the probability is 0.0067

Step-by-step explanation:

The computation of the probability of receiving no e-mails during an hour is shown below;

Let us assume x be the number of emails received during an hour

Now the probability of receiving no e-mails is

= e^-5 × 5^0÷ 0!

= e^-5 × 1  ÷ 1

= e^-5

= 0.00674

= 0.0067

Hence, the probability is 0.0067

ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study

Answers

Answer:

Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!

Step-by-step explanation:

is this a function? please explain if possible...​

Answers

It is a function. Every x value is different.

Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?

Answers

Answer:

42.3

Sorry I haven't been answering your questions I'm just behind on homework.

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