For the leopard gecko (Eublepharis macularius), the gender of their offspring is determined by the temperature during embryonic development. Researchers determined that at 31 degrees C, the proportion of males produced is 35%. They have 6 leopard gecko embryos that have been incubated at 31 degrees C and will soon hatch. Set up the formula to compute the probability of getting 2 or fewer males.

Guessing on Exams Suppose, you are taking an exam with 10 questions and you are required to get 7 or more right answers to pass.

Blood calcium levels are measured in mg/dL. In patients over 30, μ = 9.7 mg/dL, and σ = 2.42 mg/dL.

a) Give the blood calcium values for the middle 50% of patients.

b) Give the blood calcium values for the middle 60% of patients.

c) Give the 80th percentile.

d) Are you surprised by the answers to (b) and (c)? Explain.

*** I literally don't know how to solve this. Could you please go step by step without assuming that I know anything that way I can understand this by the end. Thank you!  

In class of thirty two, twenty students are to be selected to represent the class. In how many ways can this be done, if :

(a) Paul refuses to represent the class?

(b) Michelle insists on representing the class?

(c) Jim and Michelle insist on representing the class?

(d) Either Jim or Michelle (or both) will represent the class?

(e) Paul and Michelle refuse to represent the class together?

How to solve this

The mean caffeine content μ of a certain energy drink is under examination. A measure taken on a random sample of size n = 16 yieldsx̄ = 2.4 g/l.

1. (a) Assuming that the standard deviation is known to be σ = 0.3, find the 95 confidence interval for μ.

2. (b) If that the standard deviation is unknown but the sample standard deviation is s = 0.3, find the 95 confidence interval for μ.

Use Table V in Appendix A to determine the t-percentile that is required to construct each of the following two-sided confidence intervals. Round the answers to 3 decimal places.

(a) Confidence level = 95%, degrees of freedom = 19

(b) Confidence level = 95%, degrees of freedom = 30

(c) Confidence level = 99%, degrees of freedom = 17

(d) Confidence level = 99.9%, degrees of freedom = 14

1. Please explain what regression analysis is – include in your answer a statement about how predictor and criterion variables are used, as well as an explanation of what beta-weights are. Also, please provide an original example of multiple regression (you must explicitly state what your predictor and criterion variables are).

1. The overall odds ratio for the association between breast cancer and smoking status is 3.7 (95% confidence interval=2.1-5.2).

a- Interpret the odds ratio and the 95% confidence interval between breast cancer and smoking status with odds ration at 3.7 [PLEASE ELABORATE]

b- What do you conclude about smoking? Provide rationale [PLEASE ELABORATE]

Ch4A-7 Johnson Industries received a contract to develop and produce four high-intensity long-distance receiver/transmitters for cellular telephones. The first took 2,000 labor hours and $39,000 worth of purchased and manufactured parts; the second took 1,500 labor hours and $37,050 in parts; the third took 1,450 labor hours and $31,000 in parts; and the fourth took 1,275 labor hours and $31,492 in parts. The company expects “learning” to occur relative to labor and also relative to the pricing of parts from suppliers. Johnson was asked to bid on a follow-on contract for another dozen receiver/transmitter units. (Hint: There are two learning curves—one for labor and one for parts.) Use Exhibit 6.5. a. How many labor hours should Johnson estimate are needed for the additional 12 units? (Round your answer to the nearest whole number.) Estimated labor 16488 hours b. How much should Johnson estimate the parts cost will be for the additional 12 units? (Round your answer to the nearest dollar amount.) Estimated parts cost $ 414180.00

15. An instrument with 20 questions [i.e., a scale of 20 variables] was evaluated for internal consistency (reliability).

The following is the result: Cronbach's Alpha N of Items

0.623 20

Please comment about the internal consistency of the scale of 20 items mentioned above? Provide rationale AND JUSTIFY YOUR ANSWER

1. Perform the following hypothesis test using the critical value (traditional) method. Be sure to state the null and alternative hypotheses, identify the critical value, calculate the test statistic, compare the test statistic to the critical value, and state the conclusion.   Use English if you cannot write the mathematical symbols.

The mean lasting time of 2 competing floor waxes is to be compared. Twenty floors are randomly assigned to test each wax. Wax#1 had a mean time of 3 months, while Wax#2's mean was 2.9 months. The population standard deviations are 0.33 and 0.36, respectively. Does the data indicate that Wax#1 lasts longer than Wax#2? Test at a 5% level of significance.

2. Perform the following hypothesis test using the critical value (traditional) method. Be sure to state the null and alternative hypotheses, identify the critical value, calculate the test statistic, compare the test statistic to the critical value, and state the conclusion.   Use English if you cannot write the mathematical symbols.

The television habits of 30 children were observed. The sample mean was found to be 48.2 hours per week, with a standard deviation of 12.4 hours per week. Test the claim that the standard deviation for all children is no more than 16 hours per week. Use 10% confidence.

3. Perform the following hypothesis test using the critical value (traditional) method. Be sure to state the null and alternative hypotheses, identify the critical value, calculate the test statistic, compare the test statistic to the critical value, and state the conclusion.   Use English if you cannot write the mathematical symbols.

An airline claims that, on average, 5% of its flights are delayed each day. On a given day of 500 flights, 6.2% were delayed. Test the hypothesis that the average proportion of delayed flights is greater than 5%. Use α = 0.01.

To study the physical fitness of a sample of 28 people, the data below were collected representing the number of sit-ups that a person could do in one minute.

42, 70, 81, 48, 40, 63, 58, 54, 29, 66, 49, 48, 76, 42, 65, 57, 46, 57, 55, 60, 34, 40, 32, 27, 40, 9, 68, 120

Determine the lower and upper fences. Are there any outliers according to this criterion?

This needs to be completed by hand and show all your work.

Study the data below and draw four charts to represent the data. Also calculate the descriptive statistics for the data and analyse the results. Also generate frequency curve graphs for income distribution of each ethnicity.                                                                                                                                

Further answer the following questions:                                                                               

1. Find the probability of a random participant picked from this group having an income of 75,000-100,000.
2. Find the probability of picking a random participant and finding that it is an Asian or a Hispanic.
3. Find the probability of picking a random participant who happens to belong in the income group of 150,000 to 200,000, being a Caucasian.
4. Find the probability distribution for the race of a random individual picked from the group with an income between 15,000 to 35,000
5. Find the probability of picking a random participant who belong to either the African American or Asian group, having an income between 50,000 to 200,000.

(All Data calculations must be done strictly on excel)

Consider a generalization of the inventory model of Sec. 3.2 in which unfilled orders may be backlogged indefinitely with a cost of b(u) if u units are backlogged for one period. Assume revenue is received at the end of the period in which orders are placed and that backlogging costs are charged only if a unit is backlogged for an entire month, in which case the backlogging cost is incurred at the beginning of that month. a. Identify the state space and derive transition probabilities and expected rewards.