Statistics and Probability Answers

tom invests $2,000 at 3.25% compound quarterly for 3 years. How much is in his account at the end of 3 years?

Use the given degree of confidence and sample data to construct a confidence interval for the population means. A random sample of 15 light bulbs had a mean life of 548 hours and a sample standard deviation of 29 hours. Find a 90 percent confidence interval for the mean life, μ, of all light bulbs of this type.

Average entry level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. (Source: http://www.graduatingengineer.com). A recruiting office thinks that the average mechanical engineering salary is actually lower than the average electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 60 entry level electrical engineers. Their average salaries were $46,100 and $46,700, respectively. Their standard deviations were $3450 and $4210, respectively. Conduct a hypothesis test to determine if you agree that the average entry level mechanical engineering salary is lower than the average entry level electrical engineering salary.

In a recent sample of 84 used cars sales cost, the sample mean was $6425 with a standard deviation of $3156. Assume the underlying distribution is approximately normal. Construct a 95 % confidence interval for the population average cost of a used car

The probability that a certain type of missile hits a target is 0.4 . Five missiles are fired at this target. Determine:
a) the probability that the target is hit exactly twice.
b) the probability of missing the target on all five attempts.
c) the probability of hitting the target at least once.
d) the expected number of times that the target will be hit and calculate the standard deviation

A family in Norway has hit the lottery jackpot for the third time in six years - and the wins have so far all coincided with the birth of a new baby. The latest lucky winner is 19-year-old Tord Oksnes who won 12.2m Norwegian krone (£1.3m) last week on the country's national lottery. Before him, his 26-year-old sister Hege Jeanette had pocketed £882,000 in 2010, only four years after their 58-year-old father Leif won £441,000 on the same lottery.
The lucky numbers were drawn every time Hege Jeanette was pregnant or had just given birth and two of the births took place within hours of a family member winning.
When asked about the family's secret to winning the jackpot, the lucky mother replied: "Getting pregnant."

QUESTION
Establish the odds of Tord Oksnes winning the lottery with consideration for all the unique conditions found in this case.

The correct answers will provide the following:
1: correct assumptions and models/distributions used with justification.
2: relevant simplifications with explanatio

3. A researcher is interested in comparing the Christian maturity level of students who volunteer for community service versus those who do not. The researcher assumes that those who perform community service will have higher Christian maturity scores. The maturity scores tend to be skewed (not normally distributed). Higher scores indicate higher Christian maturity.
No Community Service Community Service
32 47
40 48
54 59
13 72
20 80
26 55

a. What statistical test should be used to analyze these data?
b. Is this a one- or two- tailed test?
c. Identify H0 and Ha for this study
d. Conduct the appropriate analysis
e. Should H0 be rejected? What should the researcher conclude?

a baby has 5 block in a bucket on block is red one is yellow,one is green one is blue one is black .the baby pull out a block ,look at it and put it back in the bucket,if he does this 4 times before he get board what it the probability the 4 block pulled out are red,yellow,blue and green(in the specific order)

What is the percentage of scores between 0.5 Z and -0.5Z?

A number of years ago, the student association of a large university published an evaluation of several hundred courses taught during the preceding semester. Students in each course had completed a questionnaire in which they rated a number of different aspects of the course on a 5-point scale (1= very bad to 5=excellent). Three variables obtained are:
overall – overall rating of the course.
teach – rating of teaching skills of the instructor.
know – rating of the instructor’s knowledge of the material

Overall teach know
3.4 3.8 4.5
2.9 2.8 3.8
2.6 2.2 3.9
3.8 3.5 4.1
3.0 3.2 3.5
2.5 2.7 4.2
3.9 4.1 4.5
4.3 4.2 4.7
3.8 3.7 4.1
3.4 3.7 4.1
2.8 3.3 3.9
2.9 2.2 3.9
4.1 4.1 4.0
2.7 3.1 4.1
3.9 2.9 4.5

Required from the above data:
1. Compute the correlations between the three variables.
2. Conduct multiple regression analysis to predict overall rating of the course from rating of teaching skills of the instructor and rating of the instructor’s knowledge of the material (Find the R2, and the m