The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of nequals65​, find the probability of a sample mean being greater than 229 if muequals228 and sigmaequals3.5.

agree or disagree and tell why

I believe that there is and should be ethical boundaries when it comes to the data harvesting on these apps and networks. I think that companies are kind of sneaky with how they kind of drown the data harvesting part out of the terms and conditions part of these apps, and I don't know if people truly understand what is happening with data harvesting. Yes, there should be stronger restrictions on personal data on these free apps but at the same time we as consumers give the consent for that to happen. I think that a stronger security measure should be taken rather than just a terms and conditions page that nobody reads. Try to really highlight the data harvesting part of the app and keep consumers informed as much as possible.

Me personally, I don't do a great job of being secure in my social networks and online interactions. I think as a society we don't do a great job at being secure. The amount of personal information, locations, and cards we put out there for the world to see is staggering. Looking on facebook the other day a dude is sitting there posting about eating a cheeseburger, so I think the world is gettin a little too open on these sites. I thik there has to be some responsibility on us, not just the people in charge of the statistics to be more secure.

Answer the following hypothesis testing questions:
1. Determine if average prices of units “within 5KM of the CBD” exceed average prices
of units “located within 5 to 10KM from the CBD”.
2. Determine if average prices for House within 5 to 10KM of the CBD exceeds the
average price of Unit within 5KM of the CBD.
3. Determine if average prices for “Houses with three bed rooms within 5 to 10KM of
the CBD” exceeds the average price of “Units within 5KM of the CBD”.
4. Test the difference between population means of houses of the following groups:
prices for “One bedroom”, “Two bedrooms” and “Three bedrooms (or more)”
properties.
5. Test the difference between population means of units of the following groups: prices
for “One bathroom”, “Two bathrooms”, “Three bathrooms (or more)” properties.

Notes:
 You must follow the hypothesis testing steps to test the above hypotheses.
 You must clearly specify all population parameters and the chosen test procedures.
 Use 0.05 level of significance in your analyses and assume that we have normal
distributions and unequal variances of populations.
 Use and interpret Excel to conduct hypothesis testing.
 Each part requires an Excel output. The statistical output must be provided.

According to data from the 2018 General Social Survey (GSS 2018), the average number of years of education of the 2345 adults in the U.S. sample is 13.73, with a standard deviation of 2.974. Compared to the national average of 13.26 years of education in 2000, researchers are wondering if the national education level had increased during these years. Do a hypothesis testing with α=0.05. Use this example to answer questions 24 to 27.

24. What’s the null hypothesis in this case?
A. The average number of years of education in the U.S. adult population did not change much from 2000 to 2018.
B. The average number of years of education in the U.S. adult population was equal to 13.73 in 2018.
C. The average number of years of education for the GSS 2018 sample is no different from 13.26, the national average in 2000.
D. The average number of years of education in the U.S. adult population had increased from 2000 to 2018.

25. What’s the alternative hypothesis in this case?
A. The average number of years of education in the U.S. adult population had changed since 2000.
B. The average number of years of education for the GSS 2018 sample is different from 13.26, the national average in 2000.
C. The average number of years of education in the U.S. adult population in 2018 was higher than that in 2000.
D. The average number of years of education in the U.S. adult population had decreased from 2000 to 2018.

26. Which of the following statements about this example is correct?
A. This is a two-tailed test and you have two rejection regions.
B. Since the sample size is large, we cannot use the normal distribution as the sampling distribution.
C. This is a one-tailed test and the rejection region is on the left side of the sampling distribution.
D. The rejection region is on the right side of the sampling distribution.

27. What conclusion can we draw for this example?
A. There is no enough evidence to reject the null hypothesis.
B. We can be 90% confident that the average number of years of education in the U.S. adult population had increased since 2000.
C. The average number of years of education in the U.S. adult population had increased since 2000.
D. There is a significant difference between 2018 and 2000 in terms of the national education level in the U.S. adult population.

Calculate the Mean, Median, Standard Deviation, Coefficient of Variation and 95%
population mean confidence intervals for property prices of Houses based on the following
grouping:
 Proximity of the property to CBD
Note: Calculate above statistics for both “Up to 5KM” and “Between 5KM and
10KM”
 Number of bedrooms
Note: Calculate above statistics for “One bedroom”, “Two bedrooms” and “Three
bedrooms or more”
 Number of bathrooms
Note: Calculate above statistics for “One bathroom”, “Two bathrooms”, “Three
bathrooms or more”)

Note: In total, you need to show your results for 8 different categories. Provide all results in
one table (see a sample table at the end of this document).

DATA:

A person bets his remaining savings on a horse race based on the large payoff if his horse wins. Which of the following decision-making criteria does this typify?

Choose one answer.

Jake woke up late in the morning on the day that he has to go to school to take an important test. He can either take the shuttle bus which is usually running late 20% of the time or ride his unreliable motorcycle which breaks down 40% of the time. He decides to toss a fair coin to make his choice. If Jake, in fact, gets to the test on time, what is the probability that he took the bus?

Choose one answer.

Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average speed of 87 miles per hour and a standard deviation of 6.4 miles per hour. (a) What is the probability that a train will average less than 73 miles per hour? (b) What is the probability that a train will average more than 80 miles per hour? (c) What is the probability that a train will average between 90 and 99 miles per hour?

(a) P(x < 73)

(b) P(x > 80)

(c) P(90 ≤ x ≤ 99)

Among the N=17 board members A=10 of them are also shareholders and the other N - A = 7 are non-shareholders. A committee of n=6 board members is going to be selected at random for a specific task. Use X to denote the number of board members who are also shareholders in the committee. Keep at least 4 decimal digits if the result has more decimal digits.

1. The probability that exactly 4 committee members are also shareholders is closest to

2. The probability that exactly 5 committee members are also shareholders is closest to

3. The probability that at least 5 committee members are also shareholders is closest to

4. The probability that at most 3 committee members are also shareholders is closest to

You are the observer of a peculiar individual that enters a room with two stations: each
station has a coin. Suppose that the coin at station A has a 40% chance of landing on heads,
while the coin at station B has a 50% chance of landing on heads. The individual plays the
following, monotonous game: if the coin lands on tails, he will stay at the station; otherwise,
he will move to the other station.
(a) Recall that a state transition diagram is a graphical representation of nodes and
arrows with the probabilities of moving from one station to another to label those
arrows. Draw a state transition diagram for the above scenario.
(b) Find the probability of moving to station B in one coin flip, given that the individual
is at station A.
(c) You decide to keep track of the stations that the individual has visited through a string
of characters, i.e. 'AAB' is the event that the individual started at A, stayed A, and
then moved to B. What is the probability that the string will read 'ABBAB' in the
next 5 plays of the “game.” You may assume that the individual started at A with
probability 1

Let X = the distance (in meters) that a small animal moves from its birthplace to the first territorial vacancy it encounters. Suppose that for a specific species X has a uniform distribution with a mean of 75 meters and a standard deviation of 10 meters.

a) What is the probability that the distance is at most 100 m? At most 200m?  

b) What is the probability that the distance is between 100m and 200m?  

c) What is the probability that the distance exceeds the mean distance?  

d) What is the distance exceeded by 15% of the individuals?  

e) If the animal has been walking for 100 m, what is the probability that it will have to walk for another 50m?

f) If you observe 15 animals, what is the probability that less than 5 will have to walk more than 100m?

This is my 3rd time posting this question, first time was wrong:

The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 18 restaurants located in a certain city, the average price of a dinner, including one drink and tip, was $48.60. You are leaving on a business trip to this city and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner. (Round your answers to four decimal places.)

(a)What is the probability that none of the meals will exceed the cost covered by your company?

(b)What is the probability that one of the meals will exceed the cost covered by your company?

(c)What is the probability that two of the meals will exceed the cost covered by your company?

(d)What is the probability that all three of the meals will exceed the cost covered by your company?

In a pool of n =1000 randomly selected teenagers, 450 indicated that they like Netflix,

a) Construct a 95% confidence interval for the proportion of teenagers who like Netflix and interpret it.

b) Why the result in a) is approximately valid.

c) If you wish to estimate the proportion of teenagers who like Netflix correct to within 0.025 with 95% confidence, how large should the sample size n be?

please write all the formulas in your solution. Thank you.

The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.025 mm and a standard deviation of 0.105 mm. A sample of 42 bushings is taken once an hour. Within what interval should 95 percent of the bushing diameters fall?

A machine at Katz Steel Corporation makes 4-inch-long nails. The probability distribution of the lengths of these nails is approximately normal with a mean of 4 inches and a standard deviation of 0.08 inch. The quality control inspector takes a sample of 25 nails once a week and calculates the mean length of these nails. If the mean of this sample is either less than 3.95 inches or greater than 4.05 inches, the inspector concludes that the machine needs an adjustment. What is the probability that based on a sample of 25 nails, the inspector will conclude that the machine needs an adjustment?

Round your answer to 4 decimal places.

Probability =

26. You roll an eight-sided die five times and get a four every time. You suspect that the die favors the number four. The die maker claims that the die does not favor any number. a. Perform a simulation involving 50 trials of rolling the actual die and getting a four to test the die maker’s claim. Display the results in a histogram. b. What should you conclude when you roll the actual die 50 times and get 20 fours? 7 fours?

24.You choose a random sample of 200 from a population of 2000. Each person in the sample is asked how many hours of sleep he or she gets each night. The mean of your sample is 8 hours. Is it possible that the mean of the entire population is only 7.5 hours of sleep each night? Explain.