A. 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 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? 2. A researcher wants to estimate the number of hours that the 5-year old children spend watching television. A sample of 50 five-year old children was observed to have a mean viewing time of 3 hours. The population is normally distributed 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 home appliances for his research. He claimed that the blender uses an average of 46 kilowatt hours per year. If a random sample of 12 homes included in a planned study indicates that blenders use an average of 42 kilowatt hours per year with 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 the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the mean life span of crocodile in captivity is greater than 70 years? Use a 0.05 level of significance. 5. A manufacturer of cellular phone batteries claims that when fully charged, the mean life of his products lasts for 26 hours with a standard deviation off 5 hours. Mr. See, a regular distributor, randomly picked and tested 35 of the batteries. His test showed that the average life of his sample is 24.3 hours. Is there a significant difference between the average life of all of the manufacturer's batteries and the average battery life of his sample?
A. 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 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? 2. A researcher wants to estimate the number of hours that the 5-year old children spend watching television. A sample of 50 five-year old children was observed to have a mean viewing time of 3 hours. The population is normally distributed 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 home appliances for his research. He claimed that the blender uses an average of 46 kilowatt hours per year. If a random sample of 12 homes included in a planned study indicates that blenders use an average of 42 kilowatt hours per year with 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 the past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does this seem to indicate that the mean life span of crocodile in captivity is greater than 70 years? Use a 0.05 level of significance. 5. A manufacturer of cellular phone batteries claims that when fully charged, the mean life of his products lasts for 26 hours with a standard deviation off 5 hours. Mr. See, a regular distributor, randomly picked and tested 35 of the batteries. His test showed that the average life of his sample is 24.3 hours. Is there a significant difference between the average life of all of the manufacturer's batteries and the average battery life of his sample?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer the questions with the same format as the examples. Thank you.
Transcribed Image Text:EXAMPLE
1. An experimental study was conducted by a researcher to determine if a new time slot has an effect on the
performance of the learners in mathematics. Fifteen randomly selected learners participated in the study. Toward
the end of the investigation, a standardized assessment was conducted. The sample mean was 85 and the sample
standard deviation is 3. In the standardization of the test, the mean was 75 and the sample standard deviation was
10. 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. This
suggest 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 a
random 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. This
suggest that the appropriate test statistic is z - test.
Transcribed Image Text:АCTIVITY
A. 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 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?
2. A researcher wants to estimate the number of hours that the 5-year old children spend watching television. A sample
of 50 five-year old children was observed to have a mean viewing time of 3 hours. The population is normally
distributed 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 home
appliances for his research. He claimed that the blender uses an average of 46 kilowatt hours per year. If a random
sample of 12 homes included in a planned study indicates that blenders use an average of 42 kilowatt hours per year
with 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 the
past year showed an average life span of 71.8 years. Assuming a population standard deviation of 8.9 years, does
this seem to indicate that the mean life span of crocodile in captivity is greater than 70 years? Use a 0.05 level of
significance.
5. A manufacturer of cellular phone batteries claims that when fully charged, the mean life of his products lasts for 26
hours with a standard deviation off 5 hours. Mr. See, a regular distributor, randomly picked and tested 35 of the
batteries. His test showed that the average life of his sample is 24.3 hours. Is there a significant difference between
the average life of all of the manufacturer's batteries and the average battery life of his sample?
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