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This document contains an example and 4 practice problems for introducing hypothesis testing. Each problem provides data and asks the reader to state the hypotheses, significance level, type of test, and sample size. The problems cover testing means of rice weight, baggage weight, life span, and differences in self-esteem based on dress style. The document guides students through setting up and identifying the components needed to perform hypothesis tests on various datasets.

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Phebe Lagutao
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382 views2 pages

Output 6 - Stat

This document contains an example and 4 practice problems for introducing hypothesis testing. Each problem provides data and asks the reader to state the hypotheses, significance level, type of test, and sample size. The problems cover testing means of rice weight, baggage weight, life span, and differences in self-esteem based on dress style. The document guides students through setting up and identifying the components needed to perform hypothesis tests on various datasets.

Uploaded by

Phebe Lagutao
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Name/s______________________ Section Code: _________________

ACTIVITY 8 – Introduction to Hypothesis testing

Answer each of the following questions based on the research problems provided.

EXAMPLE
A food company wishes to know the length of corn received in a shipment. A random sample of
20 corns were collected and measured and found to have a mean length of 8.8 inches. It has been
known that the standard deviation of all the corn shipments is 1.5 inches. Is there a reason to
believe that the mean length of the corn is not 9 inches, at 0.05?

Steps:
1. Hypotheses. Ho: The mean length of the corn is equal to 9 inches.
Ha: The mean length of the corn is not equal to 9 inches.
2. Significance level. 0.05
3. Type of test. 2 – sided test because the Ha is “not equal to”
4. Number of sample. 20 corns

START HERE
1. The average weight of 100 randomly selected rice is 48.54 kilos with standard deviation of 20
kilos. Test the hypothesis at a 0.01 level of significance that the true mean weight is less than 50
kilos.

Hypotheses. Ho: The true mean weight is lower or the same as 50 kilos.
Ha: The true mean weight is less than 50 kilos.
Significance level. 0.01
Type of test. One-side test
Number of sample. 100 kilos

2. The mean weight for baggage of 25 passengers from USA bound for the Philippines to be
checked in an international travel is 31.8 kilos with a standard deviation of 16. Test the claim
that the population mean baggage weight is equal to 30 kilos at 0.02 level of significance.

Hypotheses. Ho: The mean weight for bagage is equal to 30 kilos.


Ha: The mean weight for bagage is not equal to 30 kilos.
Significance level. 0.02
Type of test. Two-sided test because the Ha is “not equal to”.
Number of sample. 25 passengers

3. A random sample of 150 recorded deaths in the country during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate
that the average life span today is greater than 70 years? Use

Hypotheses. Ho: The average life span today is less than or the same as 70 years.
Ha: The average life span today is greater than 70 years.
Significance level. 0.05
Type of test. One-sided test
Number of sample. 150 recorded deaths

4. A researcher is interested in determining whether dressing professionally increases self-


esteem. Ten (10) participants was asked to dress casually and another 10 participants to dress
professionally for 1 week. At the end of the week, participants completed a self-esteem
evaluation. Is there a significant difference on the self-esteem of the person based on the way
they dress up?

Hypotheses. Ho: The professional group will have lower or the same self-esteem as the casual
group.
Ha: The professional group will have higher self-esteem than the casual group.
Significance level. 0.05
Type of test. One-sided test because Ha is “greater than”.
Number of sample. 20 participants

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