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
Leviafan [203]
3 years ago
7

A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has a signifi

cant impact on the average number of strokes for the 13th hole on a given golf course. Historically, the pin has been placed in the front right corner of the green, and the historical mean number of strokes for the hole has been 4.25, with a standard deviation of 1.6 strokes. On a particular day during the most recent golf tournament, the organizer placed the hole (pin) in the back left corner of the green. 64 golfers played the hole with the new placement on that day. Determine the probability of the sample average number of strokes exceeding 4.75
Mathematics
1 answer:
Olegator [25]3 years ago
8 0

Answer:

P(\bar X >4.75)=P(Z>\frac{4.75-4.25}{\frac{1.6}{\sqrt{64}}}=2.5)

Using the complement rule and the normal standard table or excel we have this:

P(Z>2.5)=1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we assume the distribution for X is given by:

X \sim N(4.25,1.6)  

Where \mu=4.25 and \sigma=1.6

And we select a sample of n =64. Since the distribution for X is normal then the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find the following probability:

P(\bar X >4.75)

And we can use the z score given by this formula:

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

P(\bar X >4.75)=P(Z>\frac{4.75-4.25}{\frac{1.6}{\sqrt{64}}}=2.5)

Using the complement rule and the normal standard table or excel we have this:

P(Z>2.5)=1-P(Z

You might be interested in
MATH GRADE 8 15. a) and b)
Elden [556K]

Answer:   1300 cm³

a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h

Solid = Rectangle - Missing section  

        =  L · w · h    -   L · w · h  

        = 16 · 10 · 10 - 10 · 6 · 5

        =     1600     -     300

        =             1300

b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h

Solid =   Base       +   Left wing  +    Right wing  

        =  L · w · h    +     L · w · h   +     L · w · h

        = 16 · 10 · 5   +   5 · 10 · 5   +   5 · 10 · 5

        =     800       +     250        +      250

        =                        1300

The answer from (a) is the same as (b) \checkmark




6 0
4 years ago
Which table represents a linear function?
svp [43]

Answer:

3

Step-by-step explanation:

x 1,2,3,4

y-3,-5,-7,-9

y =  - 3 - (x - 1) \times 2

6 0
3 years ago
Read 2 more answers
Find the degree measures of the next two positive and the previous two negative angles that are coterminal with the angle 75°.
AlladinOne [14]

9514 1404 393

Answer:

  • 435°, 795°
  • -285°, -645°

Step-by-step explanation:

Add or subtract multiples of 360° to find coterminal angles.

<u>Positive</u>

  75° +360° = 435°

  75° +2×360° = 795°

<u>Negative</u>

  75° -360° = -285°

  75° -2×360° = -645°

5 0
3 years ago
heather has 500 dollars in her savings account she withdraws 20 dollars per week for gas write an eqaution heather can use to se
34kurt
500-20x=220
I think this is right
5 0
4 years ago
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
nikdorinn [45]

Answer:

<em>x = 2.93</em>

Step-by-step explanation:

The sum of angles of the triangle is 180degrees, hence;

9x - 72 + 73x + 11 = 180

82x - 61 = 180

82x = 180 + 61

82x  = 241

Divide both sides by 82

82x/82 = 241/82

<em>x = 2.93</em>

<em>Note that the functions might not be accurate but the same methos should be employed for any function given</em>

7 0
3 years ago
Other questions:
  • You have $50 in your bank account.
    6·1 answer
  • I am trying to figure out how to do a sun and finding the product or quotient and writing the strategy that I use. I'M IN GRADE
    6·1 answer
  • Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure
    10·1 answer
  • Any help would be appreciated! ​
    9·1 answer
  • On Monday, it snowed a total of 15 inches. On Tuesday and Wednesday, it snowed and additional 4 1/2 inches and 6 3/4 inches resp
    6·2 answers
  • Write a rule that represents the function (0,0)(1,0.5)(2,2)(3,4.5)(4,8)
    6·1 answer
  • Megan runs a bakery in which she can sell cakes for $12.95. Write a function for the amount of profit, in dollars, she makes for
    6·1 answer
  • Josh started washing at 4:07 PM and finished at 5:31 PM. How long did it take him? Give your answer in hours and minutes​?
    14·1 answer
  • Find the input for the function machine.
    15·1 answer
  • There is a 50% chance that a volleyball team will win any one of its four remaining games this year.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!