Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let $\mu$ be the population mean .

We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.

i.e. Null hypothesis : $H_0:\mu=140$

Alternative hypothesis for two tail hypothesis has sign (≠).

i.e. Alternative hypothesis : $H_1 : \mu\neq140$

∴ The hypotheses for a two-tailed test of the claimed potassium content:

H0: μ = 140 mg vs. H1: μ ≠ 140 mg

3 0

3 years ago

What is the probability that a phone number generated using the digits 1, 2, 2, 4, 5, 5, 6, and 2 is the number 654-5222

pochemuha

Answer:

336 ways

Step-by-step explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

$\frac{8!}{3!\times2!}$ = $\frac{40320}{6\times2}$

= 336 ways

7 0

2 years ago

Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that

svetoff [14.1K]

Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,

y = mx + b

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D.

6 0

3 years ago

Use the function below to find f(–4). f(x) = 2x

Tcecarenko [31]

Replace x with -4 so it would be:
f(-4)= 2(-4)=-8
-8 is your answer

6 0

3 years ago

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