EXAMPLE1. An experimental study was conducted by a researcher to determine if a new time slot has an effect on theperformance of the learners in mathematics. Fifteen randomly selected learners participated in the study. Towardthe end of the investigation, a standardized assessment was conducted. The sample mean was 85 and the samplestandard deviation is 3. In the standardization of the test, the mean was 75 and the sample standard deviation was10. What test – statistic is appropriately to use?Answer:Based on the given values, the population standard deviation is unknown and n is 15 which is less than 30. Thissuggest that the appropriate test statistic is t - test.2. The average test score for an entire school is 75 with a standard deviation of 10. What is the probability that arandom sample of 50 students scored above 85?Answer:Based on the given values, the population standard deviation is known and n is 50 which is greater than 30. Thissuggest that the appropriate test statistic is z - test. АCTIVITYA. Identify the appropriate test static of the following:1. The average IQ for the adult population is 100 with o = 15. According to research, this has changed. To test theclaim, the average IQ of 5 random adults was gathered and found to be 105. The question now is, "Is there enoughevidence to suggest the average IQ has changed?2. A researcher wants to estimate the number of hours that the 5-year old children spend watching television. A sampleof 50 five-year old children was observed to have a mean viewing time of 3 hours. The population is normallydistributed with a population of standard deviation a = 0.5.3. A senior high school student has published figures on the number of Kilowatt hours used annually by various homeappliances for his research. He claimed that the blender uses an average of 46 kilowatt hours per year. If a randomsample of 12 homes included in a planned study indicates that blenders use an average of 42 kilowatt hours per yearwith a standard deviation of 11.9 kilowatt hours, does this suggest at the 0.05 level of significance that blender use,an average, less than 46 kilowatt hours annually? Assume the population of kilowatt hours to be normal.4. A random sample of 100 recorded crocodile deaths in four crocodile farms in Visayas and Mindanao during thepast year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, doesthis seem to indicate that the mean life span of crocodile in captivity is greater than 70 years? Use a 0.05 level ofsignificance.5. A manufacturer of cellular phone batteries claims that when fully charged, the mean life of his products lasts for 26hours with a standard deviation off 5 hours. Mr. See, a regular distributor, randomly picked and tested 35 of thebatteries. His test showed that the average life of his sample is 24.3 hours. Is there a significant difference betweenthe average life of all of the manufacturer's batteries and the average battery life of his sample?

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Answered: The average IQ for the adult population…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average IQ for the adult population is 100 with o = 15. According to research, this has changed. To test the claim, the average IQ of 5 random adults was gathered and found to be 105. The question now is, "Is there enough evidence to suggest the average IQ has changed?