Jerry goes to a theme park to ride the roller coasters. The theme park charges an entry fee in addition to a fee for each roller
coaster ride. The table below represents the total price for two different numbers of roller coaster rides.
2 answers:
Answer:
Price for entry fee is $15, and price for each ride is $4.
Step-by-step explanation:
We have to tell how much it is for the entry fee and how much for each ride?
Let the price for roller coaster ride be = x
Let the price for the entry fee be = y
Looking at the table, we can form equations.
...(1)
....(2)
Now we will solve these. Subtracting equation 1 from equation 2.
x = 4
Substituting value of x in equation 1
Hence, y = 15
So, entry fee is $15
And price of per ride is $4
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Answer:
a) The 98% confidence interval would be given (0.182;0.218).
b) We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.
c) If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.
d) Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.
Step-by-step explanation:
Data given and notation
n=2700 represent the random sample taken
X represent the people in England who are deficient in Vitamin D
estimated proportion of England people who are deficient in Vitamin D
represent the significance level
Confidence =0.98 or 98%
z would represent the statistic (variable of interest)
p= population proportion of England people who are deficient in Vitamin D
Part a
The confidence interval would be given by this formula
For the 98% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 98% confidence interval would be given (0.182;0.218).
Part b
We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.
Part c
If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.
Part d
Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.