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In a batch of 15 jars of instant coffee, 5 have been under filled. Suppose 6 of these jars are selected without replacement. If more than 1 of these selected jars are under filled, the whole batch is sent back for refill. What is the probability of the batch being sent back for refill? (Round off to 2 decimal places.)



The point estimate for the proportion of 16-kbit dynamics RAMs that function correctly for at least 1000 hours based on a sample size 100 is .91. Find a 95% confidence interval on p.


A new test has been introduced to detect diabetic. If a person has diabetic, there is 85% chance that the test will detect it. If a person does not have diabetic, there is a 5% chance that the test will say that he has diabetic. It is known that about 7% of the population has diabetic. i. Sally came for the test, and she tested negative for diabetic. Do you think Sally should go for a second opinion? How will Sally be affected if only 3% of the population has diabetic? Explain the finding


The mean annual salary of all the frontlines (nurses, medical technologists,radiologic technologists, phlebotomists) in the philippines is php 42,500.assume that this is normally distributed with standard deviation php 5,600.a random sample of 25 health workers is drawn from this population, find the probability that the mean salary of the sample is:

The mean annual salary of all the frontlines (nurses, medical technologists,radiologic technologists, phlebotomists) in the philippines is php 42,500.assume that this is normally distributed with standard deviation php 5,600.a random sample of 25 health workers is drawn from this population, find the probability that the mean salary of the sample is: a. Between Php 40,400 and Php 45,000

A bag contains 4 red, 3 pink, and 6 green balls. Two balls are drawn but the first ball drawn is not replaced.





a. find P(red, then pink) b. find P(pink then pink)

APPLICATION:




an experimental study was conducted by a researcher to




determine if a new time slot has an effect on the performance




of pupils in mathematics. Fifteen randomly selected learners




participated in the study. Toward the end of the investigation, a




standardized assessment was conducted. The sample mean x̄= 75 and s=5. In standardization of the test, the mean was




65 and standard deviation was 8. Based on the evidence at




hand, is the new time slot effective? Use α = 0.05.

Write a reflection:


What strategy can aid you in easily identifying the


appropriate test statistic to use in testing a hypothesis?


Describe how this strategy can be effectively used.

Write a reflection on each of the following:

1. Relate Type I and Type II errors to your life in terms of

making decisions. What were the consequences of your

errors?

2. Why should we minimize Type I errors in our decision

making?


1. A study of 40 SHS English teachers established that they spent 12.6 minutes revising a student’s term paper.



- Find the 90% confidence interval in the mean time for all composition papers when minutes.



- If the teacher affirmed that she spent an average of 30 minutes revising a term paper, what would be your reaction?



2. Find the sample size to estimate a population mean within 95% confidence if the standard deviation is 6.2.



3. The prices for LED are listed: 22 500, 24 000, 21 500, 20 200, 20 600, 21 100, 210 000, 19 300, 25 000 and 22 500. Estimate the true mean of the data set with 90% confidence level.



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