Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the right amount of bounce when it is taken out of the packaging. They want their product to be ready for use upon opening. The air pressure of a particular ball has a target value of 7.9 PSI. Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI. When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI. Perform this hypothesis test at the 5% significance level using the critical value approach.

Answers

Answer 1

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 7.9[/tex]

The alternate hypothesis is:

[tex]H_{a}: \mu \neq 7.9[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The hypothesis tested means that [tex]\mu = 7.9[/tex]

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that [tex]\sigma = 0.2[/tex]

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that [tex]X = 7.3, n = 21[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}[/tex]

[tex]z = -13.74[/tex]

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

[tex]z = -13.74[/tex] has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.


Related Questions

The following list has a median of 43. what would be the new median if 21 was added to the list?
31 48 50 23 28 52 57 38 56 27

Answers

Answer:

38

Step-by-step explanation:

cross the numbers out

It's due in 30 minutes!!

Answers

1st is 40/100 = 4/10 =40%
2nd is 52/100 =26/50 = 52%
3rd is 24/100 = 6/25 = 24%
4th is 9/100 = 9/100 = 9%

Answer:

Top Left: 40/100 = 2/5 = 40%

Top Right: 52/100 = 13/25 = 52%

Bottom Left: 22/100 = 11/50 = 22%

Bottom Right: 9/100 = 9/100 = 9%

Step-by-step explanation:

PLEASE HELP ASAP

2 : 6 : 7 = x : 36 : y

Answers

Answer:

2:6:7=12:36:42

Step-by-step explanation:

hope its right  :)

the faulty odemeter of a used car registers 4.6 miles for every 5 miles driven. when travelling from acton to bywater, the faulty odemeter registers 92 miles. how far apart are acton and bywater

Answers

Answer:

i have no idea how to do this but good luck on your mathematics olympics !!

Step-by-step explanation:

I need help solving this​

Answers

The answer would be 108 ft^2

Brainiest guranted question below.

Answers

Answer:

48

Step-by-step explanation:

30 is 5/8 of ?

30x8=240

240/5=48

(18 Math teachers and 30 non-Math teachers)

PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)

Answers

Answer:

551 ft

Step-by-step explanation:

i pretty sure thats it sorry if its wrong

105-30-45-3028+10000000000000038492=?

Answers

Answer:

105-30-45-3028+10000000000000038492= 1.000000000000003e19

Step-by-step explanation:

I did the math

have a good day!!

Please help me !!!!!!

Answers

Answer:

200 step by step

Step-by-step explanation:

The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet

Answers

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

PLESS I BEGG FOR YOUR HELP U GET BRANILY AND A LOT OF POINTS
Louise measured the perimeter of her rectangular scrapbook to be 150 cm. If the scrapbook is 42 cm wide, how long is the scrapbook?
A.
75 cm
B.
31 cm
C.
66 cm
D.
33 cm

Answers

D. 33 cm

P=2L+2W
P= 2(33)+2(40)=150

If g(x) = f(4x), which statement is true?

Answers

Answer:

I believe its the last answer.

Step-by-step explanation:

11. Given that the function graphed is f(x), what
is f(-5)?

Answers

Answer:

f(-5) =5

Step-by-step explanation:

We want to find the output value when x = -5

Looking at the graph when x = -5 the graph is at 5

f(-5) =5

Express each decimal to fraction 77.0075

Answers

Answer:

77[tex]\frac{3}{400}[/tex]

Step-by-step explanation:

Answer:

30803/400

Step-by-step explanation:

77.0075 = 770075/10000

= 154015/2000

= 30803/400

I willl mark you branlist!!

Answers

Answer:

tHIS IS EASY, JUST LOOK AT THE NUMBER OF TIMES IT HAPPENS, THAT IS UR ANSWER FOR EXPERIMENTAL PROBABILITY

Step-by-step explanation:

How do you graph x+6y=0

Answers

Answer:

We need to put this equation into either form of a line, pererably, slope intercept form!

Step-by-step explanation:

To do this, out goal is to get y alone.

1. We subtract x on both sides.

2 We divide 6 on both sides.

3. Our answer is y= -x/6 ( negative x divided by 6)

4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.

5. The y intercept is (0,0)

6. From (0,0) point, you go down -1 and move 1 to the right each time!

The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph this equation, start by rearranging it to solve for y.

y = -x/6

Next, plot a few points to fill in the graph.

when x is 0,

y is 0.

When x is 6,

y is -1, and

when x is -6, y is 1.

Finally, connect the plotted points with a straight line.

The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Helppppppp plsssssssssss

Answers

Answer: 43.5 cm²

Step-by-step explanation:

Area for a trapezium is: a + b/2 X h

13 + 16/2 X 3 = 43.5 cm²

Answer:

43.5

Step-by-step explanation:

[tex]a=\frac{base 1+base2}{2} h[/tex]

[tex]a=\frac{13+16}{2} *3\\a=\frac{29}{2} *3[/tex]

[tex]a=\frac{87}{2\\} \\a=43.5[/tex]

Find the surface area
Will give brainliest

Answers

The correct answer is 136

help me do this i’m confused!! thank you!!

Answers

Volume is a 3d version of area

Please help me!!!!!!!

Answers

it is 15 if you add and then divid

How many millimeters equal 5 liters?

Answers

Answer:

multiply the volume value by 1e+6

Step-by-step explanation:

Branliest to correct answer explain how you solved it please

Answers

Answer:

{1}

Step-by-step explanation:

A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.

{1} is the answer since it is the only number that is in all three sets.

The Math Club makes 35 bars of soap a week and sells these at $20 each. Before the soap can be sold, 6 bars were eaten by a polar bear. If they sell the remaining bars of soap, how much will they make this week?

Answers

Answer:I don't really know

Step-by-step explanation: I kind of just come on here to stump my parents.

(1/5)³= help me plz its been like more hours since i fond this site like I got into this site yesterday

Answers

To cube a fraction, we simply cube both the numerator and the denominator.

So we have 1^3/5^3 which is 1/125.

Need answer asap, will give brainliest to the correct answer.

Answers

Answer:The answer is the 2 one

Step-by-step explanation:

²³√∛·×÷±≈≠≤≥βα∞∨∧∉∈⇔,⇒≅≡ΔπФω↑↓∵∴↔→←⇵∀⊅⊄⊇⊆⊃⊂∑∫⇆⇄⇅°∠∡⊥∪∩∅¬⊕║∦∝㏑㏒∞

What do all of these symbols stand for?

Answers

Answer:

Mathematical symbols used for different calculations?

Help plz I’ll mark brainliest

Answers

Answer: I believe the answer is B

Step-by-step explanation: Hope it helps :)

what is the value of x?

Answers

Answer:

x = 111°

Step-by-step explanation:

The interior sum of a triangle is 180°

x + 37 + 32 = 180

x + 69 = 180

x = 111

good luck, i hope this helps :)

X=111 because a triangle has 180 degrees and 180-32-37=111

Write a quadratic function to model the graph to the right
f(x)=0
20-
18-
16-
14
12-
10-
8-
6-
4
2-
10 -3 -6
8

Answers

Answer:

10 -3 -6

Step-by-step explanation:

Evaluate the expression where x= 5 y=2

Answers

4/7 because the equation would be 2(7-5)
over
5+2
so it would be
2(2)
over
7

and then it would be
4
over
7
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