A scientist has read that the mean birth weight μ of babies born at full term is 7.3 pounds. The scientist, believing that the mean birth weight of babies born at full term is less than this value, plans to perform a statistical test. She selects a random sample of 50 birth weights of babies born at full term. Suppose that the population of birth weights of babies born at full term has a standard deviation of 1.7 pounds and that the scientist performs her hypothesis test using the 0.01 level of significance.

Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated.

(If necessary, consult a list of formulas.)

Problem Details:

Sharona Medical Equipment, Ltd (fictional name) manufactures dental drills. The company has been experiencing problems with a specific part on the production line. Management suspects a machining problem has resulted in the length of a particular part varying outside of target specification limits. Management believes that the machine setting (1, 2, 3) and/or the shift (Morning, Afternoon, Night) during which the part is machined may explain the length errors. Management is particularly interested in the role the shift may play, as new hires are typically scheduled for night shifts. To investigate, four parts machined with each of the 3 settings were randomly selected from each of the 3 shifts. The deviation in length from the specified size was measured in microns and the collected data can be found in the “Machine_Shift_ProdErrors” worksheet in the Excel file titled Group Case #2 Data.

Requirements:

Your consulting firm has been hired to conduct a thorough analysis of the production error data and provide management of Sharona Medical Equipment, Ltd with a detailed summary of your analysis, conclusions reached, and any recommendations you feel qualified to make.

Data:

A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 14 of this year's entering students and finds that their mean IQ score is 116, with standard deviation of 14. The college records indicate that the mean IQ score for entering students from previous years is 111. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that the mean IQ score, μ, of this year's class is greater than that of previous years?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

68 % of students at a school weight between 54 kg and 86 kg. Assuming this data is normally distributed, what are the mean and standard deviation?

Consider a possible linear relationship between two variables that you would like to explore

Define the relationship of interest and a data collection technique.

Determine the appropriate sample size and collect the data.

Perform the appropriate analysis to determine if there is a statistically significant linear relationship between the two variables.

Describe the relationship in terms of strength and direction.

Construct a model of the relationship and evaluate the validity of that model.

Evaluate some background research on the various methods of linear and multiple regression techniques. Then discuss in scholarly detail using examples researched or based on life experiences how linear and multiple regression techniques are used to create data models to help organizations make decisions based on how these models output analyzed data.

Assume that the last two digits on a car number plate are equally likely to be any of the 100 outcomes{00, 01, 02, ........ 98, 99}. Peter bets Paul, at even money, that at least 2 of the next n cars seen will have the same last two digits. Does n=16 favour Peter or Paul? What value of n would make this a pretty fair bet?

Identify the independent and dependent variable:

question 1: a study was conducted to determine whether when a restaurant server drew a happy face on the check, that would increase the amount of tip.

question 2: a study was conducted to determine if the marital status of an individual had any effect on the cause of death of the individual.

23-26

question 3: suggest some cofounding variables that the researcher might want to consider when doing a study

question 4: psychology today magazine reports that the more intelligent a person is (based on IQ,) the more willing the person is to make a cooperative choice rather than a selfish one.

eating 21 grams of fiber may help you lose weight.

1. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim

2. In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.

3. An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Find the P-value for a test of the researcher's claim

4. An airline claims that the no-show rate for passengers booked on its flights is less than 6%. Of 380 randomly selected reservations, 18 were no-shows. Find the P-value for a test of the airline's claim.

5. Find the P-value for a test of the claim that less than 50% of the people following a particular diet will experience increased energy. Of 100 randomly selected subjects who followed the diet, 47 noticed an increase in their energy level

In Craps once the point is set, the shooter continues to roll the dice until either the point comes up (in which case the shooter wins) or a 7 comes up (in which case the shooter loses). At that time, the round ends.

• Suppose the point has just been set at 6. What is the probability that the round will end in 5 rolls or fewer (not including the come-out roll)?
• Suppose the point has just been set at 4. What is the probability that the round will end in 5 rolls or fewer (not including the come-out roll)?

Anystate Auto Insurance Company took a random sample of 376 insurance claims paid out during a 1-year period. The average claim paid was $1600. Assume σ = $262.

Find a 0.90 confidence interval for the mean claim payment. (Round your answers to two decimal places.)

Find a 0.99 confidence interval for the mean claim payment. (Round your answers to two decimal places.)

The length of industrial filters is a quality characteristic of interest. Thirty samples,each of size 5, are chosen from the process. The data yields an average length of

110 mm, with the process standard deviation estimated to be 4 mm.

(a) Find the warning limits for a control chart for the average length.

(b) Find the 3sigma control limits. What is the probability of a type I error?

(c) If the process mean shifts to 112 mm, what are the chances of detecting this shift

by the third sample drawn after the shift?

(d) What is the chance of detecting the shift for the first time on the second sample

point drawn after the shift?

(e) What is the ARL for a shift in the process mean to 112 mm? How many samples,

on average, would it take to detect a change in the process mean to 116 mm?

A newsgroup is interested in constructing a 90% confidence interval for the proportion of all americans who are in favor of a new green initiative. Of the 560 randomly selected Americans surveyed, 392 were in favor of the initiative.

a. With 90% confidence the proportion of all Americans who favor the new green initiative is between ___ and ___.

• Provide a definition of what makes a great leader. You must cite your resource.
• Identify someone you know who models this definition of leadership you have chosen.
  • Profile this person by describing this person’s abilities and traits that align with your definition of leadership.
  • Explain how this leader connects the definition and concepts of leadership with their workplace environment.
• Consider your own personal leadership skills and traits. Complete the Leadership Assessment Survey about yourself. Look at yourself as others might see you. Use a critical eye.
  • Summarize the results of your self-assessment.
• In conclusion, discuss the following points:
  • Why is it important to make the connection between leadership concepts and theory to workplace practices?
  • How do you apply leadership abilities and skills in your professional life?

• Authentic Leadership is the video on youtube by Vital worklife which should be seen before answering these questions.

Leadership Survey Form

Note: You do not submit this survey form for grading. You will summarize the results in your report.

Rate yourself on these 20 leadership traits and abilities. Be honest! Look at yourself with a critical eye.

The rating scale runs from 1 to 5.

1. Almost never     2. Seldom    3. Sometimes    4. Usually         5. Almost Always

a) Areas of greatest strengths:

b) Areas for development:

c) Overall evaluation: