The maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4
parts per million (ppm). A consumer health group measured the level of the chemical in a
random sample of tomatoes obtained from one producer.
The levels, in ppm, are shown below.
0.31 0.47 0.19 0.72 0.56
0.91 0.29 0.83 0.49 0.28
0.31 0.46 0.25 0.34 0.17
0.58 0.19 0.26 0.47 0.81
Does the data provide sufficient evidence to support the claim that the mean level of the
chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm?
Use a 0.05 significance level to test the claim that these sample levels come from a population
with a mean greater than 0.4 ppm. Use the P-value method of testing hypotheses. Assume that
the standard deviation of levels of the chemical in all such tomatoes is 0.21 ppm.
Choose the correct null and alternative hypotheses associated with this experiment.

Answers

Answer 1

Null hypothesis (H0): The mean level of the chemical in tomatoes from this producer is equal to or less than the recommended level of 0.4 ppm.

Given that, the maximum acceptable level of a certain toxic chemical in vegetables has been set at 0.4 parts per million (ppm).

Alternative hypothesis (H1): The mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.

To test the claim, we will use a one-tailed hypothesis test with a significance level of 0.05. The test statistic is calculated by subtracting the mean of the sample from the mean of the population, and dividing the result by the standard deviation of the population.

Test statistic = (Sample mean - Population mean) / Standard deviation of population

Test statistic = (0.465 - 0.4) / 0.21

Test statistic = 2.38

Since the test statistic is positive, we can reject the null hypothesis. The P-value for this test statistic is 0.0095, which is less than 0.05.

Therefore, the data provides sufficient evidence to support the claim that the mean level of the chemical in tomatoes from this producer is greater than the recommended level of 0.4 ppm.

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Related Questions

Which distribution has the greatest spread? A. distribution 1 B. distribution 2 C. distribution 3 D. distribution 4

Answers

Answer:

D I think so

Step-by-step explanation:

HOPE IT HELPS


There were 57 cars in a parking lot at 9:00 AM and 36 different cars at 8:00 PM.
How many cars were there all together?
21 cars
83 cars
93 cars
97 cars

Answers

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

I need to know the answer now please and thank you

Answers

Answer: D. f(-4)=g(-4)
When the y-value of the f line is -4 the y-value of the g line is -4

Convert the binary number 1101001 to decimal.

Answers

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

HELLLPPLPPPP MUDDLE SCHOOLLL!!!!

Answers

Answer:

D.

Thats what gauth.math said

The line L passes through the points (5, -5) and (1, 2).
Find the gradient of line L.

Answers

gradient of L = -7/4

Explanation:

[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Insert the following values.

[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]

[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]

[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]

hello!

Use the slope formula:-

(the slope is the same as the gradient)

[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]

[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Which of these inequalities means that
18 is greater than three times a number?

Answers

hello!

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

[tex]\pmb{3n}[/tex]

Now, 18 is greater than 3n:-

[tex]\pmb{18 > 3n}[/tex]

Which means 3n is less than 18:-

[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Guys please help me!!! ​

Answers

Answer:

p = 2

q = -1

k = -1

Step-by-step explanation:

Cosine functions always start above or below 0. So, the one that starts at (0, 1) is f(x) = (p)cosx + q. Sine functions always start at 0. So, the one that starts at (0, 0) is g(x) = (k)sinx.

Using the help image attached, we know that:

p and k = amplitude (top to midline)

Negative when cosx/sinx starts at the bottom

q = vertical shift (movement of midline)

For f(x) = (p)cosx + q:

p = 2

q = -1

For g(x) = (k)sinx:

k = -1

Hope this helps!

What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2

Answers

we can't see the rectangular prism...

‼️GET BRANLIEST HERE‼️






PLS AND TY IT IS DUE SOON :))​

Answers

Answer:

b = 0.62

Step-by-step explanation:

Hello!

We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.

When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.

We can find the multiplier by dividing the current term by the previous term.

2 ÷ 32/30.6666...

This number is closest to 0.62, so the approximation is 0.62.

2/3

0.6666..

Approximation is 0.62 (b)

Hope this helped! Stay healthy!

at a certain wedding, 14/25 of the guests were over 25 years old.
Rewrite the fraction in the sentence below as a percentage.

Answers

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

Help picture below problem 16

Answers

Answer:

Regular Hexagon

Step-by-step explanation:

There are six sides and all sides are equal

Write the rate in lowest terms.
A printer can print 14 pages in 56 sec.
The rate in lowest terms is ______ ?

Answers

Answer:

1 page in 4 sec.

Step-by-step explanation:

To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.

14/56 = 1/4 in simplest terms.

This means the rate is 1 page in 4 seconds.

A pair of equations is shown below:

y = 7x − 9
y = 3x − 1

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

Multiply 12•3/5. Simplify the answer and express it as a mixed number

Answers

Answer:

7 1/5

Step-by-step explanation:

12x3/5=36/5.

The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have to Multiply 12•3/5

i.e. 12 * 3 /5

= (12*3 )/5

=36/5

now, as we have to express it as a mixed number,

we get,

36/5 = 7 1/5

Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

To learn more on multiplication click:

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is 0.304 meters less than 1 meter

Answers

Answer:

yes!

Step-by-step explanation:

because it is 0.

if it is was 1.304, it would be more than 1 meter.

Hope this makes sense! If you have further questions, let me know!

- profparis

Angeline puts $2000 into savings account which receives 2.6% interest per year. How much interest will she have on her savings at the end of year??

Thank you so much!

Answers

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

What is the surface area of this rectangular prism?
SA =
ft2

Answers

Answer:1,504

Step-by-step explanation:

20x16=320

20x12=240

16x12=192

16x20=320

12x16=192

12x20=240

add them all the answer will be 1,504

(-3 + 3y = 9)(8x - 6y = -4)

Answers

Step-by-step explanation:

(3y=9+3)(8x-6y=-4)

(3y=12)(8x-6y=-4)

(y=12÷3)(8x-6y=-4)

(y=4)(8x-6y=-4)

Now putting the value of y in (8x-6y=-4)

8x-6*4=-4

8x-24=-4

8x=24-4

8x=20

x=20/8

x=5/2

A garden store recently sold 44 seed packets, including 22 squash seed packets. considering this data how many of the next 94 seed packets sold should you expect to be squash seed packets?

Answers

The expected squash seed packets is its mean or average value

You should expect 47 squash seed packets in the next 94 seed packets

How to determine the expected squash seed packets?

The given parameters are:

Sample size (n) = 44 seed packetsSquash seed (x) = 22 seed packetsPopulation (N) = 94 seed packets

The expected squash seed packets is calculated as:

E(x) = x/n * N

This gives

E(x) = 22/44 * 94

Evaluate the product

E(x) = 47

Hence, you should expect 47 squash seed packets in the next 94 seed packets

Read more about expected values at:

https://brainly.com/question/15858152

Find the surface area of the prism. Write your answer as a fraction or mixed number
2/3ft
2/3ft
2/3ft

Answers

12.94 is the total surface area lateral surface area 8.94 bottom surface area is 4

Which equation has the solution x = 2?

A. 2x - 3 = 19
B. 3 x + 2 = 8
C. 4x - 4 = -4
D. 5x + 1 = 10

Answers

Answer:

=> B. 3 x + 2 = 8

Step-by-step explanation:

=> 3x+2 = 8

=> 3(2) +2 = 8

=> 6+2 = 8

=> 8 = 8

what are two variables that might be positively related to academic success?

Answers

study habits and career goals/higher education goals

Work out
2 × 1015
8 × 108
Give your answer in standard form

Answers

Answer:

2.03 × 103 and 8.64 × 102

Step-by-step explanation:

You make a shade of green icing using 2 drops of yellow food coloring for every 4 drops of blue. How many drops of blue food coloring would you need if you use 4 drops of yellow food coloring? how many drops of blue food coloring would u need if you use 4 drops of yellow food coloring ​

Answers

Answer:

8 drops of blue

Step-by-step explanation:

You doubled the yellow from 2 drops to four

  so double the blue from 4 to 8

If the cube shown above is sliced by a plane to create a triangle, which sets of vertices could the plane pass through?
A.
4, 5, and 7
1, 2, and 7
2, 3, and 7

B.
1, 3, and 4
2, 3, and 8
1, 3, and 7

C.
3, 5, and 8
1, 2, and 6
2, 4, and 7

D.
4, 5, and 7
1, 3, and 8
2, 4, and 7

Answers

Answer:

The correct answer is D.

4, 5, and 7

1, 3, and 8

2, 4, and 7.

Hope this helps you czn!!!!!

Thankyou For joining Brainly Community!!!!

Don't froget Mark me Brainleast!!!!

Answer: the correct answer is d .

4,5 and 7

1,3 and 8

2,4 and 7

Step-by-step explanation: I HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .

A simple random sample of 49 8th graders at a large suburban middle school indicated that 89% are involved in some type of after school activity. Find the 95% confidence interval that estimates the proportion of them that are involved in an after school activity.

A. [0.722], [0.978]
B. [0.802], [0.978]
C. [0.702], [0.928]
D. [0.802], [0.778]
E. [0.852], [0.857]
F. None of the above

Answers

Answer:

B. [0.802], [0.978]

Step-by-step explanation:

n=49

p=.89

confidence level of 95% has a z value of 1.960

z*= 1.960

z*=qnorm(1.95/2)

p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]

p+/-z*times(√(p)(1-p)/n)

.89+/-1.960* (square root of (.89)(.11)/49))

calculatornetconfidenceintervalcalculatorhtml

mathuheducathyMath2311TestsTest2032311PT3helppdf

The total price of 5 pounds of bananas was $1.95. What was the price per pound?

Answers

Answer:

Well you divide the total of 1.95/5

.39 cent

Answer:

you would need to do 1.95/5 and that equals 39 cents so your answer would be .39

6 sushi rolls cost $8.99

Answers

8.99/6
1.4983
______
6|8.99

Hope this helps

Which answer is $734,596 rounded to the nearest thousand??

1) 734,500

2)734,600

3)735,000

4)734,000

Thank you so much

Answers

Answer:

2

Step-by-step explanation:

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