The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:6 5 5 5 3 2 3 6 2 25 4 3 3 4 2 5 3 4 5Construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results.Part A: State the parameter and check the conditions.Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.Part C: Interpret the meaning of the confidence interval.Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
Answers
The parameter used in the probability is the average number of students represented by u.
How to calculate the probability?
The confidence interval based on the information will be:
= 3.85 - 2.09(1.348 / ✓20)
= 3.22
Also, 3.85 + 2.09(1.348 / ✓20) = 4.48
The confidence interval simply means that one is 95% confident that the true mean is between 3.22 and 4.48.
Learn more about probability on:
Answer:
a) The parameter of interest on this case is who represent the average number of students in order to create an app.
b)
The 95% confidence interval is given by (3.22;4.48)
c) For this case we have 95% of confidence that the true mean for the average number of students in order to create an app is between 3,22 and 4.48.
d) We have the following criteria in order to decide: "You determine that if more than three students share a ride, on average, you will create the app"
So then since the lower limti for the confidence interval is higher than 3 we can conclude that at 5% of significance we have more than 3 students share a ride so then makes sense create the app.
Step-by-step explanation:
Part a
The parameter of interest on this case is who represent the average number of students in order to create an app.
Part b
Data: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5
n=20 represent the sample size
represent the sample mean
represent the sample standard deviation
m represent the margin of error
Confidence =95% or 0.95
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
Calculate the mean and standard deviation for the sample
On this case we need to find the sample standard deviation with the following formula:
And in order to find the sample mean we just need to use this formula:
The sample mean obtained on this case is and the deviation s=1.348
Calculate the critical value tc
In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. The degrees of freedom are given by:
We can find the critical values in excel using the following formulas:
"=T.INV(0.025,19)" for
"=T.INV(1-0.025,19)" for
The critical value
Calculate the confidence interval
The interval for the mean is given by this formula:
And calculating the limits we got:
The 95% confidence interval is given by (3.22;4.48)
Part c
For this case we have 95% of confidence that the true mean for the average number of students in order to create an app is between 3.22 and 4.48.
Part d
We have the following criteria in order to decide: "You determine that if more than three students share a ride, on average, you will create the app"
So then since the lower limti for the confidence interval is higher than 3 we can conclude that at 5% of significance we have more than 3 students share a ride so then makes sense create the app.
Related Questions
Lydia has money in two savings accounts. One rate is 7% and the other is 13%. If she has $300 more in the 13% account and the total interest is $252, how much is invested in each savings account?
I can’t find the answer tried twice probably easy for others
Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 51 53 48 62 34 34 51 53 48 30 62 51 46 (a) Find the sample mean and sample standard deviation. (b) Each employee in the sample is given a $5000 raise. Find the sample mean and sample standard deviation for the revised data set. (c) Each employee in the sample takes a pay cut of $2000 from their original salary. Find the sample mean and the sample standard deviation for the revised data set. (d) What can you conclude from the results of (a), (b), and (c)?
Answers
Answer:
11.43
Step-by-step explanation:
80÷7= 11.428571428571428571428571428571
i hope this helps
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Column 7
Measure
of angle 1
Measure
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of angle 3
of angle 4
Answers
Step-by-step explanation:
this is the answer in the picture
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
1 - 9/7n
▹ Step-by-Step Explanation
1/7 - 3(3/7n - 2/7)
Remove the parentheses (Distribute -3 among the parentheses):
1/7 - 9/7n + 6/7
Calculate:
1 - 9/7n
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
1-9/7n
Step-by-step explanation:
Answers
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
10%
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0.10
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6
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6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answers
George could have used the expression (0.30)(60) to determine 30% of 60.
How to determine . Which expression could George have used
George could have used the expression (0.10)(6)(0.10)(60) to determine 30% of 60.
(0.10) represents 10% or 0.10 as a decimal. Since 30% is three times 10%, George can use three instances of (0.10) to represent 30%.
(6) represents the value 6, which is the number being multiplied by the percentage.
(0.10)(60) represents 10% of 60, which is 6.
Multiplying (0.10)(6)(0.10)(60) gives us the result of 6, which is 30% of 60.
Therefore, George could have used the expression (0.10)(6)(0.10)(60) to calculate 30% of 60.
Learn more about expression at brainly.com/question/1859113
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Answer:
(3)(6)
Step-by-step explanation:
I did the quiz