Question 1: Refer to accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 121.7 volts, and use a class width of 0.2 volt. Does the result appear to have a normal distribution? Why or why not?

Voltage Measurements from a Home   

Complete the frequency distribution below.

Answer: Fill in the blanks in voltage and frequency section.

Question 2: The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower level class limit of 0.00 and use a class width of 0.20. Does the frequency distribution appear to be roughly a normal distribution

Answer: Solve answer for frequency

Please show work

Suppose that in the certain country the proportion of people with red hair is 29%. Find the following probabilities if 37 people are randomly selected from the populattion of this country. Round all probabilities to four decimals.

(a) The probability that exactly 6 of the people have red hair

(b) The probability that at least 6 of the people have red hair

(c) Out of the sample of 37 people, it would be unusual to have more than people with red hair. Express your answer as a whole number.

Not sure about question f-j . looking to confirm my answers with someone

Health spending per person from a random sample of 20 countries is shown below.

1. Create a histogram by hand for the frequencies of the per capita health expenditure data.
2. What feature or features of this distribution indicate that the data are likely not from a population having a normal distribution?
3. What features of this distribution make it a good candidate to try a log transformation?
4. Calculate the natural log transformation for each data point of the sample. Create a new histogram with this transformed data, by hand.
5. What is the sample size?
6. What is the mean of the log health expenditure?
7. What is the standard deviation of the mean log health expenditure?
8. Calculate the standard error of the mean log health expenditure.
1. Calculate the 95% confidence interval for the mean log health expenditure and interpret it in full sentences.
10. What are the 95% confidence intervals on the non-log scale? Convert back the two values in your confidence interval.

(Data below) (to be done with EVIEWS or any data processor)

Millions of investors buy mutual funds, choosing from thousands of possibilities. Some funds can be purchased directly from banks or other financial institutions (direct) whereas others must be purchased through brokers (broker), who charge a fee for this service. A group of researchers randomly sampled 50 annual returns from mutual funds that can be acquired directly and 50 from mutual funds that are bought through brokers and recorded their net annual returns (NAR, %), which are the returns on investment after deducting all relevant fees.1

(a) In general, we can conduct hypothesis tests on a population central location with EViews by performing the (one sample) t-test, the sign test or the Wilcoxon signed ranks test.2 Suppose we would like to know whether there is evidence at the 5% level of significance that the population central location of NAR is larger than 5%. Which test(s) offered by EViews would be the most appropriate this time? Explain your answer by considering the conditions required by these tests.

(b) Perform the test you selected in part (e) above with EViews. Do not forget to specify the null and alternative hypotheses, to identify the test statistic, to make a statistical decision based on the p-value, and to draw an appropriate conclusion. If the test relies on normal approximation, also discuss whether this approximation is reasonable this time.

(c) Perform the other tests mentioned in part (a). Again, do not forget to specify the null and alternative hypotheses, to identify the test statistics, to make statistical decisions based on the p-values, and to draw appropriate conclusions. Also, if the tests rely on normal approximation, discuss whether these approximations are reasonable this time.

(d) Compare your answers in parts (b) and (c) to each other. Does it matter in this case whether the population of net returns is normally, or at least symmetrically distributed or not? Explain your answer.

Complete this vocabulary

1-p-hat

2-sample

3-chance model

4-Statistic ( not statistics )

5-Simulate

6-Strength of evidence

7-Observational units

8-Variable

9-Parameter

10- Plausible

The life time X of a component, costing $1000, is modelled using an exponential distribution with a mean of 5 years. If the component fails during the first year, the manufacturer agrees to give a full refund. If the component fails during the second year, the manufacturer agrees to give a 50% refund. If the component fails after the second year, but before the fifth year the manufacturer agrees to give a 10% refund.

(a) What is the probability that the component lasts more than 1 year?

(b) What is the probability that the component lasts between 2 years and 5 years?

(c) A particular component has already lasted 1 year. What is the probability that it will last at least 5 years, given it has already lasted 1 year?

(d) If the manufacturer sells one component, what should they expect to pay in refunds?

(e) If the manufacturer sells 1000 components, what should they expect to pay in refunds?

a. By hand, make an ordered stemplot of the distribution of the variable MothersAge for the female students. Show both your rough and final version of the stemplot. Use stems of five (See the Notes for an explanation of what stems of five are). There are 63 female students.

Mother's age 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51

Female 1, 0, 2, 2, 3, 4, 7, 3, 2, 4, 7, 1, 6, 4, 5, 3, 1, 4, 0, 1, 1, 1, 0, 1, 0

Use the stem and leaf plots that you previously created to help you draw and label histograms on your scratch paper with bin width of 2 for mothers's age at birth of female students and for mother's age at birth of male students. Make the lower bound of your first bin 16.

Comment: Bin width of 2 is not a typo. Yes, your stem and leaf plot has bins of 5 so some thinking is required, but at least your stem and leaf plot has the values in order for you.

If nequals=100 and Xequals=35​, construct a 95​% confidence interval estimate of the population proportion.

A plastic bag manufacturer claims that the bags have a tear resistance (in Kg.) that is distributed N(10, 1):

a) We take 9 bags and get an average tear resistance of 9.5 Kg. ¿Should we believe the specifications provided by the manufacturer?

b) Find the probability that the bag will tear with 5 Kg. of oranges and 4 bottles of 1 liter of water whose containers weight 25 grs.

Develop a simulation model for a three-year financial analysis of total profit based on the following data and information. Sales volume in the first year is estimated to be 100,000 units and is projected to grow at a rate that is normally distributed with a mean of 7% per year and a standard deviation of 4%. The selling price is $10, and the price increase is normally distributed with a mean of $0.50 and standard deviation of $0.05 each year. Per-unit variable costs are $3, and annual fixed costs are $200,000. Per-unit costs are expected to increase by an amount normally distributed with a mean of 5% per year and standard deviation of 2%. Fixed costs are expected to increase following a normal distribution with a mean of 10% per year and standard deviation of 3%. Based on 500 simulation trials, compute summary statistics for the average three-year undiscounted cumulative profit. The question is from following book and from Chapter 12 question 22 Textbook: James Evans, Business Analytics, 3nd edition, 2019, Pearson Education, Pearson. ISBN: 13:978-0-13-523167-8

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.

      Ho:μ1=μ2Ho:μ1=μ2
      Ha:μ1>μ2Ha:μ1>μ2

You obtain the following two samples of data.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)
p-value =

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
• There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
• The sample data support the claim that the first population mean is greater than the second population mean.
• There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.

3. A clinical trial examined the effectiveness of aspirin in the treatment of cerebral ischemia(stroke). Patients were randomized into treatment and control groups. The study wasdouble-blind. After six months of treatment, the attending physicians evaluated eachpatient’s progress as either favorable or unfavorable. Of the 78 patients in the aspiringroup, 63 had favorable outcomes; 43 of the 77 control patients had favorable outcomes.(A) The physicians conducting the study had concluded from previous research theaspirin was likely to increase the chance of a favorable outcome. Carry out a significancetest to confirm this conclusion. State the hypotheses, find aP-value, and write a summaryof your results.(B) Estimate the difference between the favorable proportions in the treatment andcontrol groups. Use 95% confidence.

A researcher interested in a relationship between self-esteem and depression conducted a study on undergraduate students and obtained a Person correlation of r = - 0.32, n = 25, p > .05 between these two variables. Based on this result the correct conclusion is _______.

• A. reject null hypothesis; there is a significant negative correlation between self-esteem and depression.

• B. reject null hypothesis; there is no significant correlation between self-esteem and depression.

• C. fail to reject null hypothesis; there is a significant negative correlation between self-esteem and depression.

• D. fail to reject null hypothesis; there is no significant correlation between self-esteem and depression.