Mathematics College

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim

Answers

Answer 1

Answer:

Claim cannot be rejected

Step-by-step explanation:

We solve this by using hypothesis testing

H0: mean = 40

H1: mean ≠ 40

We have samples of 30, but we were not gives the population standard deviation. We used the t distribution

T score = 39.2-40/(7.5/√30)

= -0.5842

Degree of freedom = 30-1 = 29

Then p value = 0.5636

In conclusion, we fail to reject the null hypothesis since 0.5636 > 0.01 significance level.

So company's claim cannot be rejected

Related Questions

Solve for x.
2(3x – 4) + x – 1= –16

Answers

Answer:

x=-1

Step-by-step explanation:

it easy fhfhfhrbf

Answer:

-1

Step-by-step explanation:

6x-8+x-1=-16

7x-9=-16

7x=-7

x=-1

what is the product of 2 1/8 and 4 1/3 ? who ever answer correct will be marked brainlest

Answers

Answer:

9 5/24

Step-by-step explanation:

pls help having a hard time understanding I just need the answers

Answers

Answer:

Step-by-step explanation:

Basically, you can rule out all of the other answers by the following criteria:

A is wrong because any y= equation without an x is just a straight horizontal line

C is wrong because any x= equation is just a vertical line

D is wrong because both lines shown are positive lines, and both equations in answer D are negative

Therefore by process of elimination, the only answer that makes sense is B

If a = -9 and b = -4, what is the value of a + b ?

-5
5
-13
13

Answers

-13 you can just put -9 + -4 in a calculator and get -13

In quadrants 1 and 3 the x-coordinate of a point is positive?

Answers

no because one is negative and the other is positive so no it didn't

write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.

Answers

Answer:

f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)

Step-by-step explanation:

Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When she buys 3 calzones and 2 sodas, she pays 17. The prices for a calzone, LaTeX: cc, and for a soda, LaTeX: ss, can be found using a system of equations. Enter with NO dollar signs

Answers

Answer:

Step-by-step explanation:

Simplify each expression. (Will Give Brainlest)

Answers

Answer:

0.88

Step-by-step explanation:

-5.37 + 8.14 - 1.89

-5.37 + 6.25

= 0.88

Step-by-step explanation:

please i worked on paper worksheet

please see it

Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6

Answers

The answer is d sorry if I’m wrong

Help thank you to who ever does I will mark brainliest.

Answers

Answer:

V = 200.96 units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

The radius is 4 and the height is 12

V = 1/3 ( 3.14 ) ( 4)^2 * 12

V = 200.96 units ^3

ANSWER: 200.96 units

Suppose that 8,000 is placed in an account that pays 17% interest compounded each year assume that no withdraws are made from the account

Answers

Step-by-step explanation:

gakamajs8skwzaHzk

bak*ywnJz8s

I need help Brian listed if u awnser! right now!

Answers

Hope that helps the distance between his house and school is 3/4 .
if he is 1/3 from school, then the total distance he has to walk is 3 times more than what he has walked

Just do q1-4 and hurry...... he’s coming for me!

Answers

1.order of operations

2.12 or variable

3.error

4.Line(12¨

hope this helps

plz consider marking brainliest

Please helppppp

Shawna knows that the number of milligrams in a Childs dose of certain medicine is equal to two-thirds the weight of the child's in pound. How much of the medicine should Shawna give a child who weighs 45 pounds?

A: 15mg
B: 30mg
C: 35mg
D: 40mg

Answers

Answer:

I think B

Cuz : he said that the medicine is equal to two-thirds the weight of the child's in pound which means 2/3 multiple 45 is 30

Isn't it?

Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.

Answers

Answer:

Z statistic = 1.980

Pvalue = 0.024

Step-by-step explanation:

Sample size (n) = number of paychecks = 50

Number of overtime (x) = 32

Let Number of overtime = o

Claim : Overtime work is done more than 50% of the time ;

Null hypothesis:H0: o = 0.5

Alternative hypothesis : H1: o > 0.5

Using the T84 calculator :

Selecting the 1 proportion test under the Stat menu:

p0 = 50% = 0.5

x = 32 ; n = 50 ; >p0

The z test statistic value obtained is 1.980 (3 decimal places)

The P value = 0.024 (3 decimal places)

At α = 0.05 ;

P value < α ; therefore we reject the null

Hence, overtime work is done more than 50% of the time.

given f(x)=2x-5, find x when f(x)=9

Answers

Answer:

x = 7

Step-by-step explanation:

9 = 2x - 5

add 5 to both sides

14 = 2x

divide by 2 to get x by itself

x = 7

PLEASE ANSWER ASAP WILL GIVE 20 POINTS IF CORRECT PLS ANSWER NOW
What is the product of 3.4 × 10^-14 and 1.8 × 10^28?
6.12 × 10^14
9.4 × 10^14
5.2 × 10^42
6.12 × 10^42

Answers

Answer:

Its 6.12 × 10^42

Step-by-step explanation:

U have to break it into pieces.. Np Merry Christmas

Move point F to various positions so the measure of ZA is approximately 15°, 30°, 45°, 60°, and 75°, and record the ratios of the sides of A5C anu
ADE

Answers

Answer:

Step-by-step explanation:Correct answer

Rick has $20. He spent $10 on food, $6 on a movie ticket, and saved the rest.

( need to answer both pls )

A. How much money did he save.
B. What fraction of the total amount did he save.

Answers

Answer:

A. $4

4/20 or 1/5

Step-by-step explanation:

Explain how to use the unit-factor method to convert 120 pounds to kilograms.

Answers

Answer:

Step-by-step explanation:

lets remember that 1kg=2.2 lb

2.2 lbs................................1 kg

120lbs...................................? kg

120/2.2=54.54 kg

3. El Sr. López desea invertir en un préstamo de $33,000 al 2.3% de interés anual
durante cinco años, capitalizados trimestralmente. Determina la cantidad de dinero
que acumulará la cuenta a partir del capital inicial.

Answers

A=P(1+(r/n))^nt
A: total
P: capital inicial
r: el interés anual
n: mensualmente/trimestralmente/etc.
t: después de _ años/meses/etc.

A=3300(1+(0.023/4))^4(5)

~ $37,009.63

**No sé si esta es la manera que tú lo resuelves, pero así lo aprendí yo en mi clase de matemáticas.

5,10,20,40,80 determine if the pattern illustrates geometric sequence or not..

Answers

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.

multiply 4-6i and -4+2i

Answers

Answer:

-4 + 32i

Step-by-step explanation:

use the distributive property to multiply

remember: i^2 = 1

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

-16 + 8i + 24i - 12i^2

-16 + 32i - 12(- 1)

-16 + 32i +12

-4 + 32i

Answer:

4 - (6 * i)) * ((-4) + (2 * i)) =

-4 + 32 i

Step-by-step explanation:

How long is a guy wire reaching from the top of a 21ft. Pole to a point on the ground 15ft. From the pole

Answers

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

Spencer randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $21,032 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Spencer found a z test statistic of -1.35.

Given the data provided, what is the p-value of the z-test statistic?

Answers

Answer: 0.0885

Step-by-step explanation:

To find : p-value of the z-test statistic.

p-value of the z-statistic depends on the alternative hypothesis.

Here , Alternative hypothesis : µ < $21,706 , which is a left tailed hypothesis.

So we will check the area to the left side of the z-statistic.

Since z= -1.35

P(Z<z) =P(Z<-1.35)= 1- P(Z<1.35)

= 1- 0.9115

= 0.0885

Hence, the required p-value = 0.0885

Answer:

0.0885

Step-by-step explanation:

Which of the following is a proper fraction?

a. 3

4 b. 4

3

c. 4

13 d. 5

Answers

Complete question is;

Which of the following is a proper fraction?

a. 3/4

b. 4/3

c. 4¾

d. 3¼

Answer:

a. ¾

Step-by-step explanation:

Proper fraction is one in which the numerator is less than the denominator while improper fraction is one whereby the numerator is greater than the denominator.

From this definition, the one that is proper fraction is only ¾.

Answer:

jllfdlkdjklfsdkldsjlkdsj

Step-by-step explanation:

this is payback

HELLPPPPPPPPP PLEAAASSSEEEEE

Answers

Option number 3 should be the correct answer

plz help! will give brainliest! really easy!

Answers

Answer:

Step-by-step explanation:

I explained it in the comments of the other one

In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140

Answers

Answer:

110,........................

What is the distance between the points (22 , 14) and (7 , 14) in the coordinate plane?

Answers

Step-by-step explanation:

Distance between the points = sqrt[(22-7)² + (14-14)²] = 15.

Answer:

it is 15 something sorrry if i am wrong

Step-by-step explanation:

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