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Suppose you randomly choose a sample of 25 observations from a normal distribution. You then use those observations to estimate the mean of the population.
a. Assuming that we would consider anything from 159 to 161 as "equal to 160," and that we know that the standard deviation of the population is 1.0, estimate the probability that we will be able to determine that the mean is different than 160 if it actually is different than 160. Use α = 0.05. (Hint: this is equivalent to saying, "what is the probability that we will reject the null hypothesis given that it is false?")b. If the mean of the observations is 158.7, what would you guess the mean of the population is (on the basis of the sample)? (I do not want the confidence interval - just report your estimate of the population mean.)c. Suppose the population is N(160.0, 1.2). It is possible that you could extract a sample from that population such that a hypothesis test on that sample would reject the null hypothesis, even though it is true. If we use α = 0.01, what are the chances of this happening? (Hint: this is equivalent to saying, "what is the probability that we would reject the null hypothesis given that it is true?")d. If you were to accept the null hypothesis, even though the null hypothesis was false, what type of error would you have commited?
Is the transportation model the example of decision making under certainty or decision making under uncertainty? Provide the real-world example illustrtating why it is certainty or uncertainty.
The mean life of your sample were more than 780 hours. What is the probability that you will not buy again from this manufacturer?
How many more students should be included in the sample to be 99% sure the sample mean x is within $7 of the population mean u for all students at this college?
A CEO of a large pharmaceutical company would like to determine if he should be placing more money allotted in the budget next year for television advertising of a new drug marketed for controlling asthma.
Suppose that a certain college class contains 45 students. Of these, 26 are sophomores, 25 are chemistry majors, and 7 are neither. What is the probability that the student is both a sophomore and a chemistry major?
By using the 0.10 level of significance, is there evidence that the population mean is above the $300?
The researcher in exercise decides to conduct the same study using a within - participates design to control for differences in cognitive ability.
Determine mean and standard deviation for the population. Draw the distribution and locate two scores on the sketch.
A sample of the personal files of eight male employees revealed that during a six month period they lost the following number of days due to illness 2, 0, 6, 3, 10, 4, 1, 2. Calculate the standard deviation. show your work.
Please explain the difference between confidence interval and significance level and how they interact or "influence" each other.
The personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. From the past records
Calculate the value of chi-square. What is your decision regarding H 0 ?
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