Pediatricians have been able to determine that the distribution of birth weights for boys is approximately normal with mean 3494 grams and standard deviation 603 grams. They have also determined that the distribution of birth weights for girls is approximately normal with mean 3266 grams and standard deviation 570 grams.

1. A particular baby boy called Ash weighed 3927 grams at birth. Find the proportion of boy babies who weighed less than Ash. Round your answer to 3 decimal places.

2. Ash has a friend Brock who weighed 3232 grams at birth. What proportion of boy babies weigh between Ash and Brock? Round your answer to 3 decimal places.

3. Ash and Brock have a female friend named Misty. Her birthweight corresponded to the 40th percentile for female birth weights. How much did she weigh at birth? Round your answer to 1 decimal place.

An obstetrician wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight days for each of the five weekdays and recorded the number of births on that day in the data table below. Refer to the ANOVA results from Excel.

SUMMARY

ANOVA

• a) Test the hypothesis that the mean number of births for each weekday is the same at the ? = 0.01 level of significance. Use the p-value method.

Please show thorough steps for hypothesis test I am having trouble understanding this.

Detail the steps in computing the Wilcoxon matched-pairs signed-rank test with a brief discussion specific to the important aspects of each step.

The Mars/M&M’s company claims that the proportions of the colors of M&M’s are the same for all colors. The colors are orange, blue, red, brown, yellow and green. Imagine in a sample of 100 candies, you get 24 blue.

1. What is your null and alternative? a. H0: p = 0.24, H1: p ≠ 0.24 b. H0: p = 0.167, H1: p ≠ 0.24 c. H0: p = 0.24, H1: p ≠ 0.167 d. H0: p = 0.167, H1: p ≠ 0.167 e. None of the above. Provide your own answer.

2. What is your decision? a. Support H1 b. Cannot support H1 c. Cannot make a decision at this time d. We do not have enough data to make an educated guess e. None of the above. Provide your own answer.

3. What is your conclusion? a. We have sufficient evidence to support the claim that the true proportion of blue candies is different than 16.7% b. We do not have sufficient evidence to support the claim that the true proportion of blue candies is different than 16.7% c. We have sufficient evidence to support the claim that the true proportion of blue candies is different than 24% d. We do not have sufficient evidence to support the claim that the true proportion of blue candies is different than 24% e. None of the above. Provide your own answer.

4. Does the confidence interval support our conclusion? a. Yes b. No c. Cannot determine at this time d. None of the above. Provide your own answer. 5. If there is a statically significant difference, does that difference have practical significance? a. Yes b. No

What is the human resource cost of hiring and maintaining employees in a company? Studies conducted by Saratoga Institute, Price-Waterhouse-Coopers Human Resource Services, determined that the average cost of hiring and employee is $3,270, and the average annual human resource expenditure per employee is $1,554. The average health benefit payment per employee is $6,393, and the average employer 401(k) cost per participant is $2,258. According to a survey conducted by the American Society for Training and Development, companies annually spend an average of $955 per employee on training, and, on average, an employee receives 32 hours of training annually. Business researchers have attempted to measure the cost of employee absenteeism to an organization. A survey conducted by CCH, Inc. showed that the average annual cost of unscheduled absenteeism per employee is $660. According to this survey, 35% of all unscheduled absenteeism is caused by personal illness.

1. The survey conducted by the American Society for Training and Development reported that, on average, an employee receives 32 hours of training per year. Suppose that the number of hours of training is uniformly distributed across all employees varying from 0 hours to 64 hours.
   1. What percentage of employees receive between 20 and 40 hours of training?

2. What percentage of employees receive 50 hours or more of training?

2. As the result of another survey, it was determined that, on average, it costs $3,270 to hire an employee. Suppose such costs are normally distributed with a population standard deviation of $400.
   1. Based on these figures, what is the probability that a randomly selected hire costs more than $4,000?

(Could this done with no calculus to make sure my answer matches up with the work I did, thank you)

Let X represent number of times someone went to a bagel store in one month. Assume that the following table is the probability distribution of X: a. What are the “expected value” and “standard deviation” of X?

X 0 1 2 3

P(X) 0.10 0.30 0.40 0.20

__

Question: If I were to compute the conventional mean of X, my answer would be X=1.5. Why does the answer in (a) differ?

Describe the kind of data that are collected for an independent-measures t test and the hypotheses that the test evaluates. The key to helping formulate your explanation would be to include the assumptions of this statistical model, the type of sample used in this model, and a statement about the null hypothesis.

A researcher would like to determine if relaxation training will affect the number of headaches for chronic headache sufferers. For a week prior to training, each participant records the number of headaches suffered. Participants then receive relaxation training and for the week following training the number of headaches is again measured. The change in number of headaches before and after training is as follows (minus signs indicate a reduction from time one to time 2):

                   Difference scores:   -5   -1   -4   -3   -6   -8   0   +1   -1

a. Compute the mean and SS for the sample of difference scores.

b. Do the results indicate a significant difference? Use a two-tailed test with α = .05

c. Compute r², the percentage of variance accounted for, to measure the size of the effect.

-A genetic experiment with peas resulted in one sample of offspring that consisted of 434 green peas and 162 yellow peas.

a. Construct a 90​% confidence interval to estimate of the percentage of yellow peas.

b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

c. Construct a 90​% confidence interval. Express the percentages in decimal form.
____<p<_____ ​(Round to three decimal places as​ needed.)

d. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

-​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%
​-Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25%

For a sample of 8 employees, a personnel director has collected the following data on ownership of company stock versus years with the firm.

x = 5 Years

    6
   12
   14
    6
    9
   13
   15
    9

y = 5 Shares

    300
    408
    560
    252
    288
    650
    630
    522

1. Determine the least-squares regression line and interpret its slope.

2. For an employee who has been with the firm 10 years, what is the predicted number of shares of stock owned?

Please show me (a) your summary statistics; (b) how you use the summary statistics to compute the slope and the intercept of the regression line.

Nonlinear optimization problems can have multiple solutions, and a solution can be local or global. Can there be multiple local solutions? Explain your answer. Can there be multiple global solutions? Explain our answer.

1. Paste relevant SPSS output. (2 pts)

2.     Create an appropriate graph to display this data. (2 pts)

3. Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, the effect size. Don’t forget to include a decision about the null hypothesis. (3 pts)

What is the denominator of the reduced fraction representing the probability of winning Fantasy Five (a lottery game where the winner correctly chooses five numbered balls (without regard to order) from a group of 39 numbered balls)?

1) The _____ refers to the probability of a _____.

A. Level of significance, type I error

B. level of significance, type II error

2) Of the five steps for testing a hypothesis, _____ involves selecting a test statistic, with step 4, a _____ is formulated and with step 5, a _____ is made.

A.step 2, decision, decision

B. step 1, decision, decision

3) The most common alphas are _____, _____ and _____.

A. 0.01, 0.05, 0.10

B. 0.001, 0.002, 0.005

4) What percentage of the normal curve will contain half the total region of rejection in a two-tail test with a 0.05 level of significance?

A. 0.025

B. 0.01

5) The symbols for the mean and the standard deviation are.

A. α, μ

B. μ, σ

2. Consider a study collecting data from a population with an unknown mean and standard deviation. If the sample mean and sample standard deviation are the same, what is the effect of increasing the sample size on the following measures? The measure can increase, decrease, not change, or more information may be needed.
1. Standard error of the sample mean, SEx ̄.

2. Degrees of freedom.
3. Magnitude of the t statistic.
4. Magnitude of the critical value t .