"A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that no more than 1% are defective."

Answers

Answer 1

Answer:

Both the values fall in the critical region so we reject H0: p ≤ 0.01  and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.

Step-by-step explanation:

1) Formulate the hypothesis

H0: p ≤ 0.01 against  the claim Ha: p > 0.01

2) Choose the significance level ∝= 0.01

3) The test statistics under H0 is

z= x -np /√npq  ( without continuity correction)

z= x ± 1/2 -np /√npq  ( with continuity correction)

4) the critical region is z> ±2.33 because the alternate hypothesis is stated on greater than basis.

5)Computations:

Z=  x -np /√npq  ( without continuity correction)

Z= 6- 600( 0.03)/√ 600( 0.03)(0.97)

z= - 2.82  ( without continuity correction)

z= x ± 1/2 -np /√npq  ( with continuity correction)

Z= (6-0.5)- 600( 0.03)/√ 600( 0.03)(0.97)

z= -12.5/4.1785

z= -0.29915  ( with continuity correction)

6) Both the values fall in the critical region so we reject H0: p ≤ 0.01  and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.


Related Questions

n ΔSTU, u = 720 inches, t = 630 inches and ∠T=7°. Find all possible values of ∠U, to the nearest degree.

DELTA MATH!!!!!!
Answer: 8

and 172

Answers

A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A)

what is angle ?

A geometric shape known as an angle is created when two rays or line segments come together to form its vertex. The two rays or line segments are known as the angle's sides. Angles are used to describe the orientation, direction, and position of lines and forms in geometry. They are commonly measured in degrees or radians. The magnitude of an angle can range from 0 degrees (representing no rotation) to 360 degrees depending on how much the two sides or rays are rotating (corresponding to a full rotation).

given

We may utilise the Law of Cosines to determine the potential values of U:

A2 + B2 - 2ab cos = c2 (C)

where a and b are the lengths of the other two sides, and c is the length of the side that faces angle C. We'll write c for the length of side SU and a for the length of side ST.

Based on the facts provided, we can:

a=630 inches

b = u (unknown) (unknown)

C = ∠T = 7°

We can apply the Law of Sines to determine the length of b:

B = a / sin = b / sin(B) (A)

where A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A) .

To know more about angles visit:

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_________ glands produce hormones that help regulate your response to stress.
1 point
reproductive
stomach
adrenal
thymus

Answers

Answer:

adrenal

Step-by-step explanation:

Answer:

adrenal glands produce hormones that help regulate your response to stress.

1. What is the equation of a parabola that has a vertex at (-2, 4) and goes through the point (0,8)?

Answers

Answer:

y - k = (x + 2)^2

Step-by-step explanation:

The vertex equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) is the vertex.

We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.

8 - 4 = a(0 + 2)^2, or

4 = 4a, so a must be 1.

Then the desired equation is:

y - k = (x + 2)^2

Jasmine bought a ticket to the Jets game. She got a 25% discount on her ticket but then had to pay a 10% service fee on the discounted price. Jasmine’s final ticket price was what percent of the original ticket price?

Answers

Answer:

15%

Step-by-step explanation:

Which graph shows y=⌊x⌋+2?

Answers

There is no graph... how are we supposed to help

In the following graph is the zero located at -4 have an
even or odd multiplicity?

Answers

Answer:

Even multiplicity at x = -4

Step-by-step explanation:

If the graph of a function crosses x-axis then the multiplicity of the function at that zero will be odd.

If the graph touches the x-axis at a point then the function will have an even multiplicity at the particular zero.

From the given graph graph touches the x-axis at x = -4

Therefore, multiplicity of the function is even at x = -4

Find the other endpoint of the line segment with the given endpoint and midpoint
Endpoint: (3,5)
Midpoint: (7, -2)

Answers

Answer:

The other endpoint is (11,-9)

Step-by-step explanation:

Midpoint Formula

[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]

We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)

Solve the equation for both terms.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Cancel the denominator by multiplying the whole equation by 2.

[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]

Isolate x-term and y-term.

[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]

Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.

Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)

The net of a square pyramid is shown in the diagram. What is the total surface area of the square pyramid in square inches? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

208

Step-by-step explanation:

Doctors are interested in seeing if lifting weights to alleviate back pain is effective. Twenty five volunteers are asked to rank their level of pain on a scale from one to ten. For the next two months, they then exercise for 2 months with a physical therapist. The volunteers focus on different weight lifting exercises that strengthen the back. Twenty five volunteers are again asked to rank their level of pain on a scale from one to ten. Was the amount of pain less after completing the exercises? What type of test would they conduct to test this claim?

Answers

Answer:

Comparing means from dependent samples.

Step-by-step explanation:

In the scenario described above, the 25 sampled individuals were used to test the effect of weightlifting on alleviating back pain. The samples used were not changed nor altered during the study as the same subjects who were tested to measure their level of pain before lifting weight were the same group subjected to the actual weight lifting test and again had their level of pain tested. Since only one group was involved in the study ( a single group was tested on neutral and actual treatment). Hence, the study used dependent samples to compare the average level of pain.

Four cubes are lined up to form a solid. The side lengths of the cubes are 2 ft, 3 ft 4 ft. and 5 ft. What is the volume of the solar A. 196 ft B 224 ft C.374 ft3 d 2,744ft3​

Answers

Answer:

A

Step-by-step explanation:

There is a population of 17 bacteria in a colony. If the number of bacteria doubles every 229 hours, what will the population be 458 hours from now?

Answers

Answer:

68

Step-by-step explanation:

Step 1: Divide the asked hours by hours need to double

Step 2: Double the initial number of the population as per the result from step 1.

First divide 458 by 229, you will get 2

Now you double the initial population number twice

so 17 * 2 = 34 and again 34 * 2 = 68

Bernard works at a community center that has a circular swimming pool with a circumference of 40 meters. He would like to use a rope to divide the pool down the center. What would be the length of the rope? *
d = 29
d = 39.9
d = 12.7
d = 20

Answers

Answer: d=12.7

Step-by-step explanation:

divided 40 by 3.14

PLEASE HELP ITS DUE RIGHT NOW

Answers

Answer: C

Explanation: the square root of 20 plus 2 equals approximately 6.47. This fits the number line

Hope this helps ;)

an someone please solve this -18=m+12

Answers

Answer:

m = ‐ 30

Step-by-step explanation:

it is because I say it is

The answer is neg 30 (-30).

which of the following can be brisk? a.A gift from a relative b.A walk around town c.a bowl of soup d.A fall breeze​

Answers

A walk around town and a fall breeze. The walk is active and energetic and the fall breeze is cool and fresh

Please help me with this. I'll mark brainiest

Answers

Answer:

Option 3 (C)

Step-by-step explanation:

Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18

To find the box plot that represents the data set, we need to find:

Min, Q1, median, Q3, and Max, which are all represented on a box plot.

Min = 3

Max = 18

Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7

Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5

Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11

The box plot that closely represented all these values is the box plot in option 3.

Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.

Store
Promotional Offer
A
$75 instant rebate
B
10% off sale
C
5% off sale plus store pays sales tax
D
a “no tax” sale—the store pays the tax

Which store has the best deal?

Answers

Answer: B is the correct answer

Step-by-step explanation:

If you do the math for each question to get a price a leaves you with 725 and b leaves you with 720 and c leaves you with 760 while d leaves you paying 800 so the lowest amount would be B.

Answer: B

Step-by-step explanation:

I'm pretty sure its B.

Since all 4 stores have a 5% sales tax already on them, we do:

800 x 5%

800 x 5/100

800 x 0.5 = 40

So now we go to all the stores and see which one is less than $40.

Answer A = 40 - 75 = -35 (Which is a price the store would have to pay but that's not a good option)

Answer B = 4

40 x 10%

40 x 10/100

40 x 0.10 = 4

Answer C = So if the store already pays sales tax which would be the 5% then our answer is $40

Answer D = This would just be $800 since the store says "no tax" and the store pays the 5%.

So, i'm pretty sure the answer is B instead of C. (i say this because a lot of people were saying it was C but C is completely wrong.)

Amanda bought two heads of cabbage for
$1.80. How many heads of cabbage can
Amanda buy if she has $28.80?

Answers

Answer:

32 cabbages

Step-by-step explanation:

$1.80 = 2 cabbages

Amanda has $28.80

28.80 ÷ 1.80 = 16

16×2=32

i WILL give brainliest and 20 pts. pls hurrryyyyy!!

Answers

Answer:

i think 5

Step-by-step explanation:

The formula for the area of the shaded region on the diagram is: Area of the circle - Area of the square The area of the circle is 76.8 cm2 rounded to 1 decimal place. The area of the square is 12.7 cm2 truncated to 1 decimal place. Write the error interval for the area, a , of the shaded region in the form m < a < n .

Answers

The error interval for the area is 64.2< a < 63.93

What is error interval?

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

Given:

Area of circle = 76.9 cm²

Area of square = 12.7 cm²

Now, 1 decimal point

Area of circle,

= 76.9+0.05   and  = 76.9-0.05

= 76.95           and  = 76.85

Area of square,

= 12.7-0.05    and  = 12.7+-0.05

=12.65          and = 12.75

Area of shaded region in the form m < a < n .

m= 76.95-12.75

m= 64.2

n=  76.85-12.65

n= 63.93

Area of shaded region is 64.2< a < 63.93.

Learn more about error interval here:

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Noel has rowing lessons every 5 days and guitar lessons every 6 days. If he had both lessons on the last day of the previous month, when will he have both lessons on the same day of the current month?

Answers

Answer:

Since every 30 days  he  wil have both lessons on the same day , and  he already  had both lessons on the last day of the previous month, that means that the day 30  the current month   he  wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)

Step-by-step explanation:

Lets find the least common factor of 5 and 6

Multiples of 5

5  10  15  20  35  30  35  40......

Multiples of 6

6  12  18  24  30 36  

LCF of 5 and 6 = 30

Every 30 days  he  wil have both lessons on the same day

if a car goes 204 miles in 3 hours, how far will it go in 7 1/2?​

Answers

510 miles, 204/3 = 68
68x7.5= 520

Bir telefona yüzden20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor

Answers

Answer:

English Translation from G o o g l e T r a n s l a t e:

After a 20 percent discount on a phone, a 10 percent discount is given on the discounted price.

Assume x is phone cost

.2x + .1x

.3x

Is that what you needed?

G o o g l e Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

G o o g le Translate'den İngilizce Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

X'in telefon maliyeti olduğunu varsayalım

.2x + .1x

.3x

İhtiyacın olan bu muydu?

Solve the inequality
6(

Answers

Answer:

Ummm, how are we suppose to answer that?

Step-by-step explanation:

Be more specific

HELLPPP

Describe in words how to map AABC to its image
AAB'C'.

Answers

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

Which graph represents the function f(x) = -|x| - 2?

Answers

Answer:

Any graph that looks like the graph on the picture is the answer.

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Julie's gross pay is $1,008.71. Her deductions total of $386.00 what is her net pay?

Answers

Answer:

i believe it is 622.71 im not sure tho

Step-by-step explanation:

Answer:

$622.71

Step-by-step explanation:

Net Pay = Gross Pay - Deductions

Net Pay = $1,008.71 - $386.00

Net Pay = $622.71

Leave a like if this helped

Here it is , I have like 19 more to go

Answers

I’m not sure if I need to explain but I got c.

A company is designing a new cylindrical water bottle. The volume of the bottle will be 124 cmcubed. The height of the water bottle is 7.1 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answers

Answer:

2.35cm

Step-by-step explanation:

Given data

Volume= 124cm^3

Height= 7.1cm

The expression for the volume of a cylinder is given as

V= πr^2h

substitute

124=3.142*r^2*7.1

124=22.3082r^2

r^2= 124/22.3082

r^2= 5.55

r= √5.55

r=2.35cm

Hence the radius of the cylindrical bottle is 2.35cm

Wanda Maximoff and The Vision are putting together a trampoline for
Billy and Tommy. The trampoline has a diameter of 7 feet. How much
space will Billy and Tommy have to jump?

Answers

Answer:

as

Step-by-step explanation:

About 63.617 feet squared
Area=pi*r^2 , radius is half of diameter, so they have 63.61725 square feet to jump
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