Do this one by hand. Suppose we measured the height of 5,000 men and found that the data were normally distributed with a mean of 70.0 inches and a standard deviation of 4.0 inches. Answer the questions using Table A and show your work:

What proportion of men can be expected to have heights Less than 75 inches?

An agent for a residential real estate company in a large city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 25 apartments in a particular residential neighborhood and collects the following data: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 For these data, Syx = 194.5953946 and hi = 0.049156908 when X = 1000. *Round final answers below to three decimal places. Do not round calculations until the final answer. (a) Construct a 95% confidence interval estimate of the mean monthly rental for all apartments that are 1000 square feet in size. (b) Construct a 95% prediction interval of the monthly rent for an individual apartment that is 1000 square feet in size. (c) Explain the difference in the results in (a) and (b).

Let S be the educational attainment of individuals in a town, with values S=0 for less than high school and S=1 for high school or above. Also, let Y be their individual annual income with values Y=0 for less than $20,000, Y=1 for between $20,000 and $40,000, and Y=2 for above $40,000. Consider now the following joint probabilities:

A) Determine the expected value (mean) of the conditional expected level of educational attainment (given the various levels of individual annual income).

B) Determine the expected level of educational attainment.

When research does not go as planned, what information can be gained from the results?
*please give a different answer from what is already on this site.

Students took a math placement test and were placed in one of three levels of a math course: A, B, or C. The probability of placements are illustrated in the table below.

1. Verify the 2 requirements for a probability distribution are met.

2. What is the probability a student is not placed into course B?

3. What is the probability a student is placed into course C or B?

Align two sequences shown below using Needelman Wunsch algorithm. Use match score of 3, mismatch score of -3 and gap penalty score of 2 (note, you should subtract this from the scoring function).

Show:

a) dynamic programming matrix with scores

b) trace back pointers

c) alignment score sequences:

sequence 1: AGAGCTCACAA

sequence 2: AGTAGCTTCCAAA

Dr. Mack Lemore, an expert in consumer behavior, wants to estimate the average amount of money that people spend in thrift shops. He takes a small sample of 8 individuals and asks them to report how much money they had in their pockets the last time they went shopping at a thrift store. Here are the data: 12, 31, 17, 18, 22, 36, 15, 13. Find the upper bound of a 95% confidence interval for the true mean amount of money individuals carry with them to thrift stores, to two decimal places. Take all calculations toward the final answer to three decimal places.

Jorge was at the park playing with friends. He found a typical die with 6 sides on the ground. He took it home and rolled it 100 times and recorded the results (found in the table below). He wanted to see if the die was a 'fair die' or if it was weighted on one side so somone could cheat when playing games!

Is this a 'fair die' or has it been tampered with? Test at the α=0.05 level of significance.

Which would be correct hypotheses for this test?

H0:μ1=μ2

; H1:μ1≠μ2
H0:
The die is a fair die; H1:
The die has been tampered with
H0:p1=p2
; H1:p1≠p2
H0:
The die has been tampered with; H1:

The die is a fair die

Roll count:

Rolled   Count
1   1
2   5
3   4
4   6
5   9
6   75

Test Statistic:

Give the P-value:

Which is the correct result:

Reject the Null Hypothesis
Do not Reject the Null Hypothesis

Which would be the appropriate conclusion?

There is enough evidence to suggest that the die has been tampered with.
There is not enough evidence to suggest that the die has been tampered with.

Given that is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places.

a.) P(-1.54 ≤ z ≤ 0)

b.) P(z > 0.32)

c.) P(z ≤ -0.63)

Suppose X and Y are the scores that a student will receive, respectively, on the verbal and math portions of the SAT test. Further suppose that X and Y are both Nor(700, 10000) and that Cov(X, Y ) = 2500. Find the probability that the total score, X + Y , will exceed 1500. (You can assume that X + Y is normal.)

Clinical trial

(a) There are several methods to assign treatments to patients in comparative clinical trials. Commonly used methods include pure randomization ,permutted blocks and within strata.

Briefly describe each of these technique for which the institution ,the sex,and age of the patient (under 50 years of age versus over 50 years of age) are factors that could be taken into account at the time of randomization.

Betty DeRose, Inc. operates two departments, the handling department and
the packaging department. During April, the handling department reported
the following information:

                                           % complete      % complete
                                units         DM           conversion 
work in process, April 1        18,000        38%             71%
units started during April      80,000
work in process, April 30       44,000        82%             47%

The cost of beginning work in process and the costs added during April
were as follows:

                                 DM         Conversion       Total cost
work in process, April 1      $ 51,764       $152,477         $204,241
costs added during April       191,452        232,125          423,577
total costs                    243,216        384,602          627,818

Calculate the total cost of the 18,000 units in beginning work in process
using the FIFO process costing method.

The following data were collected from a repeated-measures study:

Determine if there are any significant differences among the four treatments. Use a .05 level of significance.

Remember to;

1) State the null hypothesis,

2) Show all of your calculations,

3) Make a decision about your null hypothesis,

4) Make a conclusion including an APA format summary of your findings (include a measure of effect size if necessary), and

5) Indicate what you would do next given your findings.

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 41 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.90 per 100 pounds.

(a) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.

(b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answer to two decimal places.)

What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):

(c) Find a 90% confidence interval for the population average μ of the percentage of hospitals providing at least some charity care. (Round your answers to one decimal place.)

A business receives supplies of copper tubing where the supplier has said that the average length is 26.70 inches so that they will fit into the business’ machines. A random sample of 48 copper tubes finds they have an average length of 26.77 inches. The population standard deviation is assumed to be 0.20 inches. At α=0.05, should the business reject the supplier’s claim?

A consumer analyst reports that the mean life of a certain type of alkaline battery is more than 63 months. Write the null and alternative hypotheses and note which is the claim.