2. It is known from the records of the city schools that the standard deviation of Math test scores on XYZ test is 15. A sample of 200 pupils from the system was taken and it was found out that the sample mean score is 75. Previous tests showed that the population mean to be 70. Is it safe to conclude that the sample is significantly different from the population? Use 95% confidence level.
2. It is known from the records of the city schools that the standard deviation of Math test scores on XYZ test is 15. A sample of 200 pupils from the system was taken and it was found out that the sample mean score is 75. Previous tests showed that the population mean to be 70. Is it safe to conclude that the sample is significantly different from the population? Use 95% confidence level.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
Related questions
Question
answer no. 2
![Directions: Follow the steps in testing hypothesis to answer the following problems.
a. Identify the given in the problem.
b. State the null and alternative hypotheses.
c. Determine the test statistic, then compute its value.
d. Find the critical value and draw the critical region.
e. Draw a conclusion
1. The Coronavirus Disease (COVID-19) is an infectious disease caused by a new strain of
coronavirus. The World Health Organization (WHO) claims that the incubation period of the
virus in the infected person has a mean of 5.1 days. The doctors in the Philippines conducted
research and they found out that incubation period of the virus in human body is 6.03 days with
a standard deviation of 3.32. The samples were 46 COVID patients. Is there enough evidence
to conclude that the incubation period of the virus is 5.1 days as stated, at a = 0.01?
2. It is known from the records of the city schools that the standard deviation of Math test scores
on XYZ test is 15. A sample of 200 pupils from the system was taken and it was found out that
the sample mean score is 75. Previous tests showed that the population mean to be 70. Is it
safe to conclude that the sample is significantly different from the population? Use 95%
confidence level.
3. Powder milk is packed in 1-kilogram. An inspector from the Department of Trade and Industry
(DTI) suspects the bags may not contain 1 kilogram. A sample of 40 bags produced a mean of
0.96 kilogram and a standard deviation of 0.12 kilogram. Is there enough evidence that the
bags do not contain 1 kilogram? Use a = 0.01.
4. A researcher knows that the average height of Filipino women is 1.53 m. A random sample of
26 women was taken and found to have a mean height if 1.56 m with a standard deviation of
0.1 m. Is there a reason to believe that the 26 women in the sample are significantly taller than
the others?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b247d4a-d3c9-4c53-b62f-d810d23400f2%2Ffdcb66cb-b735-4604-b956-c4aaaa0abe92%2Fp02ki8_processed.png&w=3840&q=75)
Transcribed Image Text:Directions: Follow the steps in testing hypothesis to answer the following problems.
a. Identify the given in the problem.
b. State the null and alternative hypotheses.
c. Determine the test statistic, then compute its value.
d. Find the critical value and draw the critical region.
e. Draw a conclusion
1. The Coronavirus Disease (COVID-19) is an infectious disease caused by a new strain of
coronavirus. The World Health Organization (WHO) claims that the incubation period of the
virus in the infected person has a mean of 5.1 days. The doctors in the Philippines conducted
research and they found out that incubation period of the virus in human body is 6.03 days with
a standard deviation of 3.32. The samples were 46 COVID patients. Is there enough evidence
to conclude that the incubation period of the virus is 5.1 days as stated, at a = 0.01?
2. It is known from the records of the city schools that the standard deviation of Math test scores
on XYZ test is 15. A sample of 200 pupils from the system was taken and it was found out that
the sample mean score is 75. Previous tests showed that the population mean to be 70. Is it
safe to conclude that the sample is significantly different from the population? Use 95%
confidence level.
3. Powder milk is packed in 1-kilogram. An inspector from the Department of Trade and Industry
(DTI) suspects the bags may not contain 1 kilogram. A sample of 40 bags produced a mean of
0.96 kilogram and a standard deviation of 0.12 kilogram. Is there enough evidence that the
bags do not contain 1 kilogram? Use a = 0.01.
4. A researcher knows that the average height of Filipino women is 1.53 m. A random sample of
26 women was taken and found to have a mean height if 1.56 m with a standard deviation of
0.1 m. Is there a reason to believe that the 26 women in the sample are significantly taller than
the others?
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