When evaluating tobt (2-tail), the critical region for rejection of Ho O lies under the left hand tail of the distribution O lies in the middle of the distribution

A school district decided to measure the BMI of all 3rd graders and identify the highest 1% and lowest 1% of those students. If the distribution is converted to a z distribution, what would be the upper critical z value and lower critical z value that mark the two significant areas at the tails?

Scores obtained by students in three sections of the Medical College AdmissionTest (MCAT) are independently normally distributed with means 10, 12, and 10and standard deviations 2.6, 1.2, and 1.3, respectively. Determine the probabilitydistribution of the total scores obtained by these students. NOTE: Please explain each part, so the problem can be used as a Study Guide

A market research company employs a large number of typists to enter data into acomputer database. The time it takes for potential newtypists to learn the computersystem is known to have a Normal distribution with a mean of 90 minutes and astandard deviation of 18 minutes. A candidate is automatically hired if she learnsthe computer system in less than 100 minutes. A cut-off time is set at the slowest10% of the learning distribution. Anyone slower than this cut-off time is definitelynot hired.(a) What proportion of candidates takes more than two hours to learn the computersystem?(b) What proportion of candidates will be hired automatically?(c) What is the cut-off time the market research company uses?Notes: This problem tests• Normal distributions; Standardizing observations• Using the standard Normal Table• Inverse Normal calculations

The manager of a computer retail store is concerned that his suppliers have been giving him laptop with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.6 years and a standard deviation of 0.5 years. He then randomly selects records on 44 laptop sold in the past and finds that the mean replacement time is 3.4 years. Find the probability that 44 randomly selected laptops will have a mean replacement time of 3.4 years or less. b] Based on the result, above does it appear that the computer store has been given laptops of lower than average quality C} Please also do explain how to solve using Excel

5. Suppose the time spent by a randomly selected student at a campus computer laboratory has a gamma distribution with mean 20 min and variance 80 min². (a) What are the values of a and B? (b) What is the probability that a student spends between 20 and 40 min at the laboratory? (c) Only 1% of students will spend more than how many minutes at the laboratory?

2. A motorcycle manufacturer indicates that the time (in years) that a motorcycle can last without failure, giving it preventive maintenance, is distributed with a mean of 2.8 years and a variance of 0.35 years. a) What is the probability that the motorcycle will last without failure for less than 4 years?b) What is the probability that the motorcycle will last without failure between 2.9 and 4.7 years?

Determine the cri tical z-score corresponding to a = 0.2 in a left-tail test. crititical z-score = [three decimal accuracy]

Interpupillary distance (IPD) is the distance between the centers of the pupils of a person's left and right eyes. In adult males, IPD is approximately Normally distributed with a mean of 62.5 mm and a standard deviation of 6mm. Suppose you randomly select 5 adult males. What is the probability that their mean IPD is greater than 60mm? 1) 0.8243 2) 0.4995 3) 0.6615 4) 0.1757 5) 0.3885

Suppose a researcher is interested in the effectiveness of a new novel talk therapy technique in reducing overall depression as identified via score report on the geriatric depression scale (GDS). In order to carry out this hypothesis, the researcher gathers a SRS of participants in the program and performs the GDS test prior to, and after initiation of the new therapy technique. Assume the SRS score report presented below represents an approximately normal distribution.   Participant GDS Score (Out of 15) Prior to intervention GDS Score (Out of 15) Following intervention A 12 8 B 13 7 C 12 7 D 14 9 E 11 6 F 11 7   A)  What type of study design is this? B)  Conduct a paired sample t test investigating the effectiveness of the new therapy technique with 95% confidence.  Write out your null and alternative hypotheses, and interpret your pvalue correctly. C)  Construct a 95% confidence interval representing the average difference…