The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer 1

Answer:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.


Related Questions


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Definition: the angles opposite each other when 2 lines cross. They are always equal.

1&4, 2&3, 5&8, 6&7 are vertical

I hope this helps :) have a good night or day <3

Pls help I will give Brainliest

Answers

Answer:

C. 26 + 4x = 46

What is the measure of angle ABC

Answers

Answer:

A

Step-by-step explanation:

Which Proportion Could Be Used To Solve ...

Answers

Answer:

[tex]\frac{6}{h} = \frac{10}{40}[/tex]

Step-by-step explanation:

Given

The attached image

Required

The proportion of the height of the tree

Represent the height of the tree with h.

To solve for h, we make use of the following equivalent ratio

[tex]40 : h = 10 : 6[/tex]

Express as fraction

[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]

Cross multiply

[tex]40 * 6 = 10 * h[/tex]

Divide by 40h

[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]

[tex]\frac{6}{h} = \frac{10}{40}[/tex]

A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.

Answers

Answer:

The margin of error is of 0.73 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{1.7}{\sqrt{36}} = 0.73[/tex]

The margin of error is of 0.73 oz.

The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.

The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

Subtract -5x²+10x-1from6x²-x+3

Answers

Answer:

it would be -11x^2+11x-4

Look at the photo! Please help

Answers

the answer is A

Explanation:

Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21

Answers

x=15

pythagorean equation: a^2 + b^2=c^2

a=9 b= 12 c=?
now solve
the answer is 15 i think

Chloe asked students in her school band these two questions.

Question 1: How many days per week do you practice your instrument?

Question 2: How many times will our band perform this year?

Use the drop-down menus to explain whether each question is a statistical question.

Question 1

Choose

a statistical question because each student's answer will be

Choose...

Question 2 Choose.

a statistical question because each student's answer will be

Choose the options to the question is is and is not

Answers

Answer:

Question 1: Statistical

Question 2: Not Statistical

Step-by-step explanation:

Given

Question 1 and 2

Required

Are they statistical questions?

A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.

Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.

This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.

7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm

Answers

6.4 i think correct me if I’m wrong

Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?

Answers

Answer:

the ratio of food costs to take home dollars is 1:6

Step-by-step explanation:

The computation of the ratio of the foods cost to take home is shown below:

Given that

Monthly take home pay is $1,500

And, the spending month on food is $250

Based on the  above information

The ratio is

= $250 ÷ $1500

= 1:6

Hence, the ratio of food costs to take home dollars is 1:6

Can anyone please help??

Answers

Answers:

6 pints = 12 cups

16 pints = 8 quarts

8 fluid ounces = 1 cup

8 pints = 1 gallon

6 pints=12 cups
16 pints=8 quarts
8 fluid ounces=1 cup
8 pints=1 gallon

whats 1girl + 1 girl=

Answers

Answer:

(whats 1girl + 1 girl=) uhh ima go with 2girl ;)

Step-by-step explanation:

whats 1girl + 1 girl=?

well 1+1=2 so 1girl + 1 girl= 2girl

What is the ratio of -1,6,-36,216

Answers

Answer:

-6

Step-by-step explanation:

hope this helped <3

Omar wants to use a graph to solve the equation below.

log Subscript 6 Baseline x = log Subscript 2 Baseline (x + 4)

Which system of equations should Omar use?

Answers

Person above is wrong, the answer is D on Edge.

D. y1 = log x/log 6, y2 = log (x + 4)/log 2

Answer:

its D on edge 2021

Step-by-step explanation:

i took the test

What’s the correct answer for this question?

Answers

Answer:

10

Step-by-step explanation:

2(6+1) - |-10| + 3*2

= 2 (7) - (+10) + 6

= 14 - 10 + 6

= 20 - 10

= 10

Answer: 10

Step-by-step explanation:

Given

2 ( 6 + 1 ) - | -10 | + 3 × 2

Expand parenthesis

= 12 + 2 - | -10| + 3 × 2

Simplify absolute value

= 12 + 2 - 10 + 3 × 2

Do multiplication

= 12 + 2 - 10 + 6

Simplify

= 14 - 4

= 10

Hope this helps!! :)

Please me know if you have any questions

Using order of operations how would you solve (3+4)-9 with an equation!!

Answers

the answer to your question is
(7)-9= -54

Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03

Answers

9514 1404 393

Answer:

  (a)  7

Step-by-step explanation:

The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...

  AE = 7

_____

Additional comment

If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.

In the coordinate plane, Seth drew a triangle with vertices A(-2,7), B(3, -3), and C(0,2). He reflected the triangle about a vertical line, and then about a horizontal line, to move vertex A to its final location of (10,-5).
Use the drop-down menus to choose the responses that make each statement true
Seth reflected the triangle about the vertical ine 1 = and then about the horizontal line y = 0
He moved vertex B to its final location of
He moved vertex C to its final location of
2021 minute Education Inc

Answers

Answer:

we cant see the problem

Step-by-step explanation:

How are these two images the same but different?

\large x+4=9

\large x+4

Post at least 1 similarity and 1 difference.

Answers

Answer:

they both mean the same thing one dose not have = and 9 in it while the other dose.

Step-by-step explanation:

please help me im stuck on this question​

Answers

Answer:

78.0 kilo

Step-by-step explanation:

85.8- 93.6= 7.8

101.4-93.6= 7.8

85.8-7.8 = 78.0 kilo

Help please!!! I can’t figure it out

Answers

9514 1404 393

Answer:

  C. ... 3 1/4 cups

Step-by-step explanation:

The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...

  3/8 × ((3 2/3) +(2 1/4) +(2 3/4))

This eliminates choices B and D.

If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.

The only viable answer choice is C.

__

If you like, you can check to see that answer C is correct.

  (3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4

find the area of the triangle

!NO LINKS, NO FILES!

please :)

Answers

(Base * height) divided by 2
In this case the area of the triangle is 1125 cm^2

Answer:

1125cm²

Step-by-step explanation:

The answer is in the link     -----> www://jk.com lol

30 x 75 ÷ 2 = 1125cm²

Find the value of x in the figure below if RE is parallel to PM.

2.3 units
16 units
21 units
4.6 units

Answers

Answer:

21 units

Step-by-step explanation:

Since,

RE is parallel to PM,

( AR / RP ) = ( AE / EM )

( 7 / x ) = ( 6 / 18 )

( 7 / x ) = ( 1 / 3 )

x × 1 = 7 × 3

x = 21 units


Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
how many bacteria was there at 10 hours? Round to the nearest whole number,

Answers

Answer:

9,942 bacteria were there at 10 hours.

Step-by-step explanation:

Equation for population decay:

The equation for population decay, after t hours, is given by:

[tex]P(t) = P(0)(1-r)^t[/tex]

In which P(0) is the initial population and r is the decay rate, as a decimal.

Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.

This means that [tex]P(0) = 200000[/tex] and that when [tex]t = 18, P(t) = 900[/tex]. So we use this to find r.

[tex]P(t) = P(0)(1-r)^t[/tex]

[tex]900 = 200000(1-r)^{18}[/tex]

[tex](1-r)^{18} = \frac{900}{200000}[/tex]

[tex]\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}[/tex]

[tex]1 - r = (\frac{900}{200000})^{\frac{1}{18}}[/tex]

[tex]1 - r = 0.7407[/tex]

So

[tex]P(t) = P(0)(1-r)^t[/tex]

[tex]P(t) = 200000(0.7407)^t[/tex]

At this rate of decay, how many bacteria was there at 10 hours?

This is P(10). So

[tex]P(10) = 200000(0.7407)^{10} = 9941.5[/tex]

Rounding to the nearest whole number:

9,942 bacteria were there at 10 hours.

Help me and I’ll give you brainliest

Answers

Answer:

i think its 60

Step-by-step explanation:

at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour? ​

Answers

Answer:

The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Step-by-step explanation:

Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:

4 x 1.5 + 6 x 0 = 6

4 x 1 + 6 x 0.5 = 7

4 x 0.75 + 6 x 0.75 = 7.5

4 x 0.5 + 6 x 1 = 8

Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000

Answers

Answer:

Number of year = 50 year

Step-by-step explanation:

Given:

Amount deposit in account = $500

Rate of interest = 6 % = 0.06 (Simple interest)

Future amount = $2,000

Find:

Number of year

Computation:

A = P + I

2,000 = 500 + I

Amount of interest I = $1,500

I = PRT

1,500 = 500 x 0.06 x Number of year

1,500 = 30 x Number of year

Number of year = 1,500/30

Number of year = 50 year

HELPPPPPPPPPPPP BRAINLY

Answers

Answer:

C

Step-by-step explanation:

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee at local fast food restaurants. Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg. If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result

Answers

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that [tex]\sigma = 2[/tex]

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when [tex]M = 0.5[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{2}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 2*1.96[/tex]

Dividing both sides by 0.5

[tex]\sqrt{n} = 4*1.96[/tex]

[tex](\sqrt{n})^2 = (4*1.96)^2[/tex]

[tex]n = 61.5[/tex]

Rounding up

We would have to take a sample of 62 to achieve this result.

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