1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
2 years ago
15

Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the r

ight 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.
Mathematics
1 answer:
Vesna [10]2 years ago
8 0

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:

H_{0}: \mu = 7.9

The alternate hypothesis is:

H_{a}: \mu \neq 7.9

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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

The hypothesis tested means that \mu = 7.9

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

This means that \sigma = 0.2

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 X = 7.3, n = 21

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}

z = -13.74

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.

z = -13.74 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.

You might be interested in
18 Ib. Then her dog loses another 1 lb. Finally, it
Pavel [41]

Answer:

17 lb I guess 8 don't think the question is full

Step-by-step explanation:

the question is half

8 0
3 years ago
HALP PLEASE NEED HALP, ASAP??
andre [41]

Answer:

5

Step-by-step explanation:

since -4 *-2 = 8 and -8+8=0

0*-2=0

0+5=5

7 0
3 years ago
What is the area of the figure below? <br><br> 7.5m^2<br> 15m^2<br> 21.25m^2<br> 42.5m^2
Novay_Z [31]
The answer is c!!! hope this helps!!!
7 0
3 years ago
Read 2 more answers
Ashley bought bag of oranges at the grocery store she gave half of the oranges to David then she gave Erin 6 oranges and Kept th
andreev551 [17]
The answer would be 16. She gave Erin 6 and kept two. That would be 8 oranges between the two of them and David got half, making the total 16 oranges.

5 0
3 years ago
Read 2 more answers
Find f(-4) <br> if f(x) = {(2,-4), (4,0), (5,-4), (-4, 0)}
Troyanec [42]

Answer:

If f(x) = 2x2 - 4x + 3 evaluate for f(3) and f(-4) 2. g(x) = V - 2x; find g(-27) and g(-1) ... {(-3,0), (+3, 3),(-3,2)} ... If f(x) = 5x+5, find and simplify f(4).

8 0
3 years ago
Other questions:
  • The function C(x)=10x+5,000 represents the cost to produce x number of items. How many items should be produced so that the aver
    13·1 answer
  • Translate the word phrase into a math expression. Sheila buys some boxes of pens, with 20 pens in each box.
    13·1 answer
  • F -2/3 = 1/4<br> solve for f
    15·2 answers
  • Heya! question- Charlie's dog Rylo, weighs 42 lbs at the vet office, but then weighs 46 lbs at the next visit, what is the perce
    14·2 answers
  • I stink at math how about some smart people check out my page and anwser some questions I give brainiest for correct
    13·1 answer
  • SUPER URGENT ANSWER BOTHHHHH QUESTIONS<br> I WILL DEF MARK BRAINLYEST<br> READ CARFULLY!
    7·1 answer
  • Please help i will mark branliest
    15·1 answer
  • If p=8×10^5, 5×10^−2. Find p×q​
    8·1 answer
  • The quotient of 15 and n is 5
    9·1 answer
  • It's the computer seice can u help me
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!