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Almario Justin=67



Bravo Cloyd=80



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Consider samples of size 3 that can be drawn from this population.




C. Solve the following problems.

1. Suppose observation on 50 circuits yields a sample mean of 65 ohms with standard deviation of 6 ohms. Determine the 99% confidence intervals of the mean resistance.


2. What sample size would we need for a 90 percent confidence interval that has a margin of error of 6 and a population standard deviation of 23?


3. A random selection of 40 entering college students has the following GPAs.

4.0 3.5 3.0 3.3 3.8 3.1 3.6 4.0

3.2 3.0 3.5 3.2 3.0 3.2 4.0 3.0

3.0 2.8 5.6 3.0 3.2 3.5 3.2 2.8

3.2 2.9 3.0 2.8 4.0 3.7 3.0 3.3

3. 9 3.5

3.4 3.0

3.3 3.1

3.2 2.8

Construct a 90% confidence interval around the mean.

4. The mean scores of a random sample of 15 students who took a special test is 80. if the standard deviation of the scores 4. and the sample comes from an approximately normal population, find the interval estimate of the population mean adopting a confidence level of 95%.




An engineer hypothesizes that the mean number of defects can be decreased in the manufacturing process of CDs using robots instead of humans for certain tasks. The mean number of defective CDs is 18.


A. Using the t-table, give the confidence coefficients for each of the following.

1.n=9, 95% confidence

2. n=11, 95% confidence

3. n=24, 95% confidence

4.n=21, 95% confidence

5. n=21, 99% confidence


Construct the sampling distribution of the sample means

From past experience, a company has found that in a box of four triple-A batteries, 74% contain no defective battery, 7% contain one defective battery, 4% contain two defective batteries, 6% contain three defective batteries, and 9% contain all defective batteries. Calculate the mean, variance, and standard deviation for the defective batteries


Consider a population consisting of the values 3,7 and 6.

In a certain Lottery Draw the prize was Php 10,000,000. If you bought 1 ticket that cost Php 20 and there were 1,000,000 tickets sold, what is your expected gain from buying one ticket? Will the organizers of the Lottery make a profit from the draw? Explain your answer.




GAIN




LOSS




OUTCOMES




PROBABILITY




PRODUCT

a principal at a school.claims that the students in his school are above average intelligence. A random sample of forty student's IQ score have a mean of 112.5. the mean population IQ is 100 with a standard deviation of 15. use the 5% level of significance.


z=1 and z=1.55