Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 230 yards on average. A random sample of 177 golfers show that their mean driving distance is 230.7 yards, with a standard deviation of 41.8.1. Set up the null and alternative hypotheses to test for the designers belief.
a. H0 : µ ≥ 230 versus Ha : µ < 230
b. H0 : µ = 230.7 versus Ha : µ ≠ 230.7
c. H0 : µ ≥ 230.7 versus Ha : µ < 230.7
d. H0 : µ ≤ 230.7 versus Ha : µ > 230.7
e. H0 : µ ≤ 230 versus Ha : µ > 230
2. Find the value of the standardized test statistic.
a. 0.125
b. -0.125
c. 0.223
d. -0.7
e. 0.7
3. Find the P-value for the above mentioned test.
a. 0.8237
b. 0.0228
c. 0.5871
d. 0.4118
e. 0.0871
Answers
Answer:
a) e) H0 : µ ≤ 230 versus Ha : µ > 230
b)
c. 0.223
c)
d. 0.4118
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value to verify
t would represent the statistic
represent the p value
Part a
We want to verify if the true mean is higher than 230 yards, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The best option would be:
H0 : µ ≤ 230 versus Ha : µ > 230
Part b
The statistic is given by:
(1)
Replacing the info given we got:
Part c
The degrees of freedom are:
The p value would be given by:
d. 0.4118
Related Questions
6.3% of the 6,540,000 Indiana residents were listed as Hispanic or Latino in 2012, how many people would this be?
Hi what is 398÷45.
The volume of this pyramid is 351 m3. If the area of thebase is 81 m² how high is the pyramid?
Consider the following hypothesis test. The following data are from matched samples taken from two populations. Population Element 1 2 1 21 20 2 28 26 3 18 18 4 20 20 5 26 24 Compute the difference value for each element. If your answer is "0", enter 0.a. Compose the difference valuefor each element.b. Compute d.c.Compute the standard deviation sd.d.Conduct a hypothesis test using α=.05.What is yourconclusion?
Answers
Answer:
x = 120
Step-by-step explanation:
An equilateral triangle has 3 equal angles
The sum of the angles is 180
180/3 = 60
x + 60 = 180 since they form a straight line
x = 180-60
x = 120
Answer:
X...................
Answers
Answer:
3024 in^3
Step-by-step explanation:
let width=x
length=x+4
height=x-2
A=W×L
252=(x)(x+4)
252=x^2 +4x
0=x^2 +4x -252
use quadratic formula
x=14
W=14
L=18
H=12
V=W×L×H
V=(14)(18)(12)
V=3024 in^3
Answers
Answer:
Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.
Step-by-step explanation:
I got it right on my assignment
Answer: Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.
Step-by-step explanation: i got it right on my assignment
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
the answer is IDK
Answers
Answer:
The Least Common Multiple is 3
Step-by-step explanation:
Maria's error was that she tried finding the largest multiple rather than the least.
Answer:
Step-by-step explanation:
Maria's error on this is the LCM is 30 not 60
the least is 30 not 60
Answers
Answer:
Step-by-step explanation:
Answers
x_bar +/- z(σ/√n)
where
z- z-score
σ-sigma
n=sample size
thus from the information given we shall have:
182.9+/-2.58(121.8/√54)
=182.9+/-42.7632
=225.6632 or 140.1368