Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth

The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me

julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 200 mg

Sample mean, $\bar{x}$ = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis for a two tailed test

$H_{0}: \mu = 200\\H_A: \mu \neq 200$

We use Two-tailed t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799$

c) Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930$

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

4 0

3 years ago

Hi! Does any one know how to do proportions? If so can you please help me out with these 2 problems? please show work on how you

Nataly [62]

Answers:

1.) 18 lemons
2.) 80 minutes

Explanation:

Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.

Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.

If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.

For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.

This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).

If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.

Hope this helps :)

6 0

3 years ago

Clint is in study hall reading The hunger games. After 20 minutes, he is on page 151. After 45 minutes, he is on page 181. How m

alexdok [17]

Answer:

The number of pages had Clint read prior to study hall were 127 pages.

Step-by-step explanation:

Given:

Clint after 20 minutes is on page 151.

And, after 45 minutes he is on page 181.

Now, to find the pages Clint read prior to study hall.

The time difference = 45 minutes - 20 minutes.

= 25 minutes.

Difference between the pages = 181 - 151

= 30 pages.

If Clint is reading each page at same speed.

Then, in 25 minutes he can read = 30 pages.

So, in 1 minute he can read = 30 ÷ 25 = 1.2 pages.

Thus, in 20 minutes he can read $=1.2\times 20$

$=24 pages.$

Now, number of pages Clint had read prior to study hall = 151 - 24

= 127 pages.

Therefore, the number of pages had Clint read prior to study hall were 127 pages.

7 0

3 years ago

NEED HELP FAST!!!

baherus [9]

We know the y intercept is 16 because y=16 when x=0.

Find slope by calculating change in y over change in x.
(12-16)/(2-0)
-4/2
-2

Plug both values into slope intercept form. y=mx+b where m is slope and b is the y intercept.

Final answer: y=-2x+16

4 0

3 years ago

Write each number in standard notation.

Zarrin [17]

Answer:

See Bottom!

Step-by-step explanation:

17) 9

18) 2.0000

19) 20000000000

20) 00.804

21) 266.0000000000

22) 15.00

23) 77.5

24) 830.0000000000

5 0

3 years ago

Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.