For an annual membership fee of $500,Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Wit
2 answers:
Answer:
25 rounds
Step-by-step explanation:
Let
x -----> the number of rounds of golf
y ---> total charges to play
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
<em>Membership</em>
----> equation A
The slope is m=$35 per round
The y-intercept b=$500 (annual membership fee)
<em>Non-Membership</em>
----> equation B
The slope is m=$55 per round
The y-intercept b=$0
Equate equation A and equation B
solve for x
For x=25 rounds the cost to be the same with and without a membership
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Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z =
on substituting the respective values, we get
Z =
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is i.e
Now from standard normal table
= -1.96