Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern? Ha : μ < 25.3 H, a, : , μ, < 25.3 A Ha : μ > 25.3 H, a, : , μ, > 25.3 B Ha : μ < 24.5 H, a, : , μ, < 24.5 C Ha : μ > 24.5 H, a , : , μ, > 24.5 D Ha : μ ≠ 24.5

Answers

Answer 1

Answer:

[tex]H_a > \mu = 24.5[/tex]

Step-by-step explanation:

Given

[tex]n = 28[/tex] --- sample size

[tex]\bar x = 25.3[/tex] --- Mean

[tex]x = 24.5[/tex] --- Average

Required

Determine the alternate hypothesis

From the question, we understand that it is safe to drink water at 24.5 ppb or less.

This implies that the null hypothesis is:

[tex]H_0 \le \mu = \bar x[/tex]

i.e.

[tex]H_0 \le \mu = 24.5[/tex]

The opposite of [tex]\le[/tex] is [tex]>[/tex]

So, the alternate hypothesis will be:

[tex]H_a > \mu = \bar x[/tex]

[tex]H_a > \mu = 24.5[/tex]

Hence: (c) is correct


Related Questions

i need the answer asap

Answers

Step-by-step explanation:

A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5

now , let AB be 4x and AC be 5x such that

AC = AB + BC

AC - AB = BC

5x - 4x = BC

x = BC

ratio of AB : BC = 4:1

by using section formula

( mx2 + nx1 / m+n , my2 + ny1 / m+n )

where m = 4 and n = 1

B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )

B = ( 8 -3 / 5. ,. -24 + 4 / 5)

B = ( 5/5. ,. -20/5 )

B = ( 1. , -4 )

Please help! Due soon!

Answers

Answer:

a/..the first is 3/8

b/ 84/280

Answer:

a) 3/8

b) 3/10

Step-by-step explanation:

multiply the numerators and the denominators and then simplify.

a) is just 3*1 divided by 4*2, no simplification possible

b) is 4*21 divided by 7*40 is 84/280 and simplifies to 3/10 (divide by 28)

If the total surface area of a cube is 302.46 in2, which best describes the length of the side of the cube?

Answers

The surface area of a cube is calculated using the following formula

[tex]S=6a^2[/tex]

If the surface area is given then the side length can be found and vice versa.

We have thus

[tex]302.46=6a^2 \\ 302.46/6=a^2 \\ a=\sqrt{302.46/6}\approx5.8\mathrm{in}[/tex]

Hope this helps.


The H.C.F of 42,70 and 56

Answers

Answer: 14

Step-by-step explanation

Do the prime factorization & it will give you 14

Pineapple Street intersects Plum Street and Apple Street at their midpoints. Your home is at point P. You leave your home and jog down Plum Street to Kiwi Street, over Kiwi Street to Apple Street, up Apple Street to Pineapple Street, over Pineapple Street to Plum Street and then back home up Plum Street. How many miles did you jog?

Answers

Answer:

7.125 miles

Step-by-step explanation:

Using the triangle midsegment theorem:

Distance of pineapple street = 1/2(distance of kiwi street) = 0.5 * 1.4 = 0. 7 miles

Distance of plum Street = (2 * distance of P to Pineapple street) = 2 * 1.3 = 2.6 miles

Distance from Kiwi to pineapple = 1/2 * distance of apple Street = 0.5 * 2.25 = 1.125 miles

1.3 + 1.3 + 1.4 + 1.125 + 0.7 + 1.3

how I can write this sentences in a expresión .​

Answers

Answer:

4x + 8

Step-by-step explanation:

Carrie has $10 in a savings account. The interest rate is 10%, compounded annually.
To the nearest cent, how much will she have in 3 years?
Submit

Answers

Answer:

she will have 300 dollars

Step-by-step explanation:

Convert improper fraction to a mixed number
9/2

Answers

2 goes into 9 4 times. So 4 is your large number and you have 1 remaining, put that over the denominator and your answer is 4 1/2

A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of
trout and salmon caused by a microscopic parasite) coming from two separate watersheds. For each
watershed, the biologist will collect a random sample of trout and record the proportion infected in the
sample. The biologist intends to estimate the difference for all trout in the two watersheds. Assuming all
conditions for inference are met, which of the following is the most appropriate method for the biologist to
use to analyze the results?
A
A one-sample z-interval for a population proportion
B
A one-sample z-interval for a sample proportion
с
A one-sample z-interval for a difference in sample proportions
D
A two-sample z-interval for a difference in population proportions
E
A two-sample z-interval for a difference in sample proportions

Answers

Answer:

D

Step-by-step explanation:

Because, the biologist wants to find the difference between the population of trouts from two watershed,

A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of trout and salmon caused by a microscopic parasite) coming from two separate watersheds.

The biologist will collect a random sample of trout and record the proportion infected in the sample The biologist intends to estimate the difference for all trout in the two watersheds

According to the given question, the most appropriate method for the biologist will be -A two-sample z-interval for a difference in population proportions

Because,Biologist wants to compare the proportions of rainbow trout infected with whirling disease and find the difference between the population of the trouts from two watershed .

Therefore , Statement D is the Correct

Learn more about Similar questions here : https://brainly.com/question/1904003

A computer game originally sold for $40 but is now on sale for 30% off. What is the sale price of the computer game?​

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

30% of 40 is 12, 40-12=28, the answer is 28.

Find the equation of the line that contains the given point and with the given slope. Write the equation in slope-intercept form, if possible, and graph the line (2,1); slope =3

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the straight lines.

y-y1 = m(x-x1) + C

====> y - 1 = 3(x - 2)

====> y-1 = 3x -6

====> y = 3x - 5

hence the equation is y = 3x - 5

a party rental company has chairs and tables for rent the total cost to rent 2 chairs and 3 tables is 29 dollars the total cost to rent 6 chairs and 5 tables is 53 dollars what is the cost to rent each chairs and each tables​

Answers

Answer:

78

Step-by-step explanation:

Is 13/6 rational or irrational ?

Answers

Answer:

Rational is the answer

hope this helps

have a good day :)

Step-by-step explanation:

If it's written as a fraction it's rational

which inequality is NOT true if y= -5​

Answers

Answer:

2y -10 > 13

Step-by-step explanation:

Each box contains 40candy bars
Each box cost $30
How much does the school have to charge for,each candy bar to make a profit $10 per box

Answers

Answer:

1.33 (round it up to the nearest dollar which is 1)

Step-by-step explanation:

profit = price charged - cost of goods

$10 = ? - $30

$ 30 = for one box

40 bars = one box

40 / 30 = 1.33 (round it up to the nearest dollar)

you can check this out by:

1 x 40 bars = 40

40 - 30 (the price of each box) = 10

Can someone help please I don’t have much time???

Answers

Answer:

1) x<2.5 2) x<2.5 (both are smaller numbers than 2.5)

Step-by-step explanation:

I'm sure there is a easier way to figure this question out but how I did is by simply imputing numbers smaller or bigger into where the x is. For example, I imputed 3 into -4x+5>-5. So, -4(3)+5>5, = -7>5, this is false, so x must be smaller than 2.5 in order for this to be true.

Assume that you have a balance of $4000 on your Discover credit card and that you make no more charges. Assume that Discover charges 21% APR and that each month you make only the minimum payment of 2.5% of the balance.

What will the balance be after 6 years? (Round your answer to the nearest cent.)

Answers

Answer:

Step-by-step explanation:

Credit card interest is what are you are charged when you don't pay your credit card bill in full each month. It works as a daily rate calculated by dividing your annual percentage rate by 365, and then multiplying your current balance by the daily rate. That amount is then added to your bill.

How many different ways are there to select a group of 7 out of 9 people for a committee in which there
are 7 distinct roles?

Answers

Answer:

P(9,7) =  181440

Step-by-step explanation:

The roles are distinct so order matters. So we must use the permutation formula.

P(n,r)=n!/(n−r)!

P(9,7) = 9! / 2! = 9*8*7*6*5*4*3 = 181440

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

a

Step-by-step explanation:

the answer is a

A= (0,-4) B=(2,-1) C=(4,-3)

I want the answer, Due now.

Answers

Answer: 60

Step-by-step explanation:

180 degrees because of the line so 180-120 = 60

Answer:

Its 60⁰ I'm positive....

For Problems 2-5, use the thermometer to the right,
Each sentence is stated incorrectly, Rewrite the sentence to correctly describe each
situation
The temperature is 10 degrees Fahrenheit below zero,
b. The temperature is –22 degrees Celsius below zero,

Answers

yeah so basically the answer is

Someone pls answer this!! 10
POINTSSSSSSSS

Answers

It’s 36cm because all sides are equal

Answer:

perimeter of square = 4×side.

36cm=4×side.

36/4=side.

9cm=side

There are 9 movies ranked on the summer's "must see movie list." What is the probability that you guess the summer's top two must see movies if you randomly guess?

Answers

Answer:

1/36 = 0.0278 = 2.78% probability that you guess the summer's top two must see movies if you randomly guess

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the movies are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

Top two movies, so only one outcome, which means that [tex]D = 1[/tex]

Total outcomes:

Two movies from a set of 1. So

[tex]T = C_{9,2} = \frac{9!}{2!(9-2)!} = 36[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{36} = 0.0278[/tex]

1/36 = 0.0278 = 2.78% probability that you guess the summer's top two must see movies if you randomly guess

Answer:

1.39%

Step-by-step explanation:

This is a permutation problem because order matters.

There are 9! ways to rank the summer's must-see movies.

There are (9−2)!=7! ways to choose two movies as the top two must-see movies.

P = 7!/9! = 1/72 = 0.0139

To express our answer as a percent, we multiply by 100:

0.0139 x 100 = 1.39%

Help plssssss I’ll boost u in thingy

Answers

Answer:

137.67

Step-by-step explanation:

hello !

first, we find the midpoint of each interval in the score column (you can look for it by adding the two numbers and then dividing it by 2). then, we multiply the midpoint to the frequency:

1 - 7 is 4 = 4 * 17 = 68

8 - 10 is 9 = 9 * 15 = 135

11 - 15 is 13 = 13 * 13 = 169

16 - 20 is 18 = 18 * 6 = 108

23 - 35 is 29 = 29 * 6 = 174

36 - 50 is 43 = 43 * 4 = 172

now, we look for the mean, which we get by adding the sums and dividing the total with 6.

[tex]\frac{68+135+169+108+174+172}{6} = 137.6666667[/tex] or, when rounded to two decimal places, is equal to 137.67.

Complete the solution of the equation. Find the value of y when x equals 2. -8x - 5y = -1 Enter the correct answer. DOA DONE ?​

Answers

Answer: -3

Step-by-step explanation:

-8x - 5y = -1

-8(2) -5y = -1

-16 -5y = -1

-5y = 15

y = -3

4. A regular hexagon is shown below. Find the value of x. (11x + 21) ​

Answers

Answer:

We need the picture

Step-by-step explanation:

What is the slope of a line that passes through (-4, 8) and (3, -6)?
a.1/2
b.-2
c.-1/2
d.2

Answers

[tex]m=\frac{8-(-6)}{-4-3}=\frac{14}{-7}=-2[/tex] so B.

Hope this helps.

Will give BRAINLIEST

Answers

Answer:

Y=4x

Step-by-step explanation:

Answer:

1/4 per hour

Step-by-step explanation:

1 bracelet in 4 hours

1 divided by 4 = 1/4

1/4 bracelets per hour

a triangle has vertices A(2,6), B(-2,8) and C(-1, 0). a. show that the triangle I a right-angled triangle. b. calculate the area of the triangle.​

Answers

Answer:

122122

Step-by-step explanation:

Proszę o jak najszybszą odpowiedź ​

Answers

Answer:sorry I don’t speak proeze najsztbsza but do you know the way

Step-by-step explanation:

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