Question 3 options:

The owner of the Britten's Egg Farm wants to estimate the mean number of eggs produced per chicken.  A representative random sample of 20 chickens show they produce an average of 25 eggs per month with a sample standard deviation (s) of 2 eggs per month. The distribution is known to be symmetrical and is close enough to normal to be treated as a normal distribution.

Answer the following questions related to the above paragraph and then calculate a 90% confidence interval for the mean number of eggs produced per chicken on the Britten's Egg Farm.

A What is the point estimate of the mean number of eggs produced per chicken?
       Enter answer with 0 decimal places (integer).

B Calculate the margin of error for the 90% confidence interval for the mean amount of eggs laid per month on the Britten's Egg Farm.

Enter answer rounded to 1 decimal point.
Include a zero to the left of the decimal point if the margin of error is a number between -1 and +1.

c The 90% conference interval for the mean number eggs produced per month is:

Enter the lower and upper limits for the conference interval by entering the lower limit first.
Rounded each conference limit to 1 decimal point.

D Prior to this study the owner of the Britten's Egg Farm Egg Farm believed the mean amount off eggs produced per month on his farm was 30.

Does the study support his belief with a 90% confidence?

a     Yes. The mean amount of eggs produced per month on his farm could be 30 per month because the number 30 is not contained in the confidence interval.

b     Yes. The mean amount of eggs produced per month on his farm could be 30 per month because the number 30 is contained in the confidence interval.

c     No. The mean amount of eggs produced per month on his farm is most likely not 30 per month because the number 30 is not contained in the confidence interval.

d     No. The mean amount of eggs produced per month on his farm is most likely not 30 per month because the number 30 is contained in the confidence interval.

e    The owner can not comment on the mean amount of eggs produced per month on his farm because the confidence interval is based upon a sample.

Explain how you would process data for analysis of a qualitative research paper.

Dont worry about the amount of words, it's a short question.

A prisoner has to play a variation of the Monty Hall game with the jailer every day, not knowing which of the three doors the car is hidden behind. After the jailer's first choice, the prisoner therefore chooses one of the two remaining doors at random and opens it. In the event that he accidentally opens the door with the car, the jailer wins. If the jailer loses, the game must be played again the next day, with the car again hiding behind a random door. The prisoner may leave the cell as soon as the jailer has won the car.

Assume that the jailer plays with the "do not switch doors" strategy. What is the chance that the prisoner will be released after ten days? And how big is the chance that he will have to spend at least 10 days in jail?

In a study of speed​ dating, male subjects were asked to rate the attractiveness of their female​ dates, and a sample of the results is listed below ​(1 equals not ​attractive; 10 equals extremely ​attractive). Construct a confidence interval using a 99​% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females? 6​, 8​, 1​, 10​, 6​, 4​, 7​, 7​, 9​, 9​, 5​, 8

How much time do you spend talking on your phone per day?

Guess the number of minutes you think you spend talking on the phone each day. This is your null hypothesis.

Secure the data from your phone for the past month and conduct a one sample hypothesis test of the mean length of your phone calls per day.   Be sure to show all your work by using excel and include your data set. Use a significance level of 0.05. You will have 30 data values showing the total of minutes you spend per day. (The easiest way to secure this data is to look at your "Recent" calls on your phone and list the total number of minutes that you have spent on the phone each day in the last 30 days. This will be the data that you will use.)

1) Please explain binomial approximation.
2) How can it be used in calculating population size?
3) Please provide an example.

Here comes BBA (Body-By-Agbegha) program again! A group of women of comparable age, weight and height was subjected to three weight loss treatments - BBA1, BBA2 and BBA3.   The table below shows the weight loss for the women.

Test to see whether there is any significant difference in the mean weight loss between the programs. Use a 5% level of significance.

State the null and alternative hypotheses.

Find the critical F value.

State a decision rule.

Find the value of the F Statistics.

Find the p-value.

State your decision.

Draw an appropriate conclusion using the context of the problem.

A random sample is drawn from a normally distributed population with mean μ = 18 and standard deviation σ = 2.3. [You may find it useful to reference the z table.]

Calculate the probabilities that the sample mean is less than 18.6 for both sample sizes. (Round intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7 comma 470 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7 comma 445 hours.

a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7 comma 470 hours question mark

b. Compute the​ p-value and interpret its meaning.

c. Construct a 95​% confidence interval estimate of the population mean life of the light bulbs.

d. Compare the results of​ (a) and​ (c). What conclusions do you​ reach?

Question 1

We wish to see if, on average, traffic is moving at the posted speed limit of 65 miles per hour along a certain stretch of Interstate 70. On each of four randomly selected days, a randomly selected car is timed and the speed of the car is recorded. The observed times were:

70                    65                    70                    75

Assuming that speeds are normally distributed with mean m, is there evidence that the mean speed is not equal to the posted speed limit?

a. Check the needed conditions for both the test statistic and confidence interval. (Do not do a stemplot.)

b. State Ho and Ha.

c. Calculate the test statistic (if applicable – state the degrees of freedom)

d. Find the p-value.

e. What is the conclusion for this problem? Do you reject Ho?

f. Calculate the 95% confidence interval.

g. Interpret the confidence interval

1.     There are 5 houses in 5 different colors.

2.         A person of a different nationality lives in each house.

3.         These 5 owners drink a certain beverage, eat a certain type of bread, and have a certain pet.

4.         No owners have the same pet, eat the same type of bread, or drink the same drink.

5.        Use the clues below to determine who keeps the fish.

CLUES

1.         The American lives in a red house.

2.         The Italian keeps dogs as pets.

3.         The Bahamian drinks tea.

4.         The green house is on the immediate left of the white house.

5.         The green house owner drinks coffee.

6.         The person who eats sesame semolina bread rears birds.

7.         The owner of the yellow house eats black jack bread.

8.         The man living in the center house drinks milk.

9.         The Norwegian lives in the first house.

10.       The man who eats pumpernickel bread lives next to the one who keeps cats.

11.       The man who keeps horses lives next to the man who eats black jack bread.

12.       The owner who eats sourdough bread drinks lemonade.

13.       The German eats brioche bread.

14.       The Norwegian lives next to the blue house.

15.       The man who eats pumpernickel bread lives next to the man who drinks water.

1) A group of 41 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.

The group of 41 students in the study reported an average of 4.44 drinks per with a standard deviation of 3.55 drinks.

Find the p-value for the hypothesis test.

The p-value should be rounded to 4-decimal places.

2) Commute times in the U.S. are heavily skewed to the right. We select a random sample of 520 people from the 2000 U.S. Census who reported a non-zero commute time.

In this sample, the mean commute time is 28.1 minutes with a standard deviation of 19.2 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance.

What is the p-value for this hypothesis test?

(Your answer should be rounded to 4 decimal places.)

3) Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence to show that this is not true at her university. A random sample of 34 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 34 students studied each week was 17.9 hours. The sample standard deviation of 4.6 hours.

Find the p-value.

The p-value should be rounded to 4-decimal places.

Question1

A university lecturer is interested in comparing the engagement levels of first-year statistics students. In a previous nation-wide study, engagement levels of all university students were found to be normally distributed, with µ=60.00. The lecturer collects a random sample of 50 first-year students and the following statistics are obtained: M=65.43, SD=7.82.

What statistical procedure should be used, to test whether there is a significant mean difference in engagement levels between the lecturer’s first year students and the population average?

Question 2

A university lecturer is interested in comparing the enthusiasm levels of first-year statistics students. In a previous nation-wide study, enthusiasm levels were found to be normally distributed, with µ=70.00, σ=5.00. The lecturer collects a convenience sample of 50 first-year students and finds that her students have a mean enthusiasm level equal to 65.24.

What statistical procedure should be used, to test whether there is a significant mean difference in enthusiasm levels between the lecturer’s first year students and the population average?

Question 3

An organisational psychologist hypothesised that employee IQ levels of major Australian banks differ significantly to the general population. To test this, he performed a Z-test. Listed below are the IQ scores of 20 random employees:

105, 98, 103, 115,116,118,121,132,95,105,108,132,114,118,126,127,127,124,119,138.

If IQ scores are normally distributed, with µ=100, σ=15, what is the Z-statistic? Use these figures to calculate and select the correct the Z-statistic below.