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Hypothesis Testing Exercises

This document contains 4 examples of hypothesis tests. Each example provides the hypotheses, significance level, type of test, and number of samples. The first example tests if the mean length of corn is less than 9 inches. The second tests if the mean weight of rice is less than 50 kilos. The third tests if the average lifespan is greater than 70 years. The fourth tests if dressing professionally or casually impacts self-esteem. For each test, the null and alternative hypotheses, significance level, whether it's a one-sided or two-sided test, and the sample size are stated.

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10 views1 page

Hypothesis Testing Exercises

This document contains 4 examples of hypothesis tests. Each example provides the hypotheses, significance level, type of test, and number of samples. The first example tests if the mean length of corn is less than 9 inches. The second tests if the mean weight of rice is less than 50 kilos. The third tests if the average lifespan is greater than 70 years. The fourth tests if dressing professionally or casually impacts self-esteem. For each test, the null and alternative hypotheses, significance level, whether it's a one-sided or two-sided test, and the sample size are stated.

Uploaded by

Dion Ata
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Name: Section Code: BSA 3B-B108

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 samples. 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 mean weight of the selected rice is equal to 50 kilos.
Ha: The mean weight of the selected rice is less than 50 kilos.
 Significance level. 0.01
 Type of test. 1-sided test
 Number of samples. 100 random selected rice
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 population mean baggage weight is equal to 30 kilos.
Ha: The population mean baggage weight is not equal to 30 kilos.
 Significance level. 0.02
 Type of test. 2-sided test
 Number of samples. 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 α=0.05
 Hypotheses. Ho: The average life span today is equal to 70 years.
Ha: The average life span today is greater than to 70 years.
 Significance level. 0.05
 Type of test. 1-sided test
 Number of samples. 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: There is no significant difference on the self-esteem of the person based on the
way they dress up.
Ha: There is significant difference on the self-esteem of the person based on the way
they dress up.
 Significance level. 0.05
 Type of test. 2-sided test
 Number of samples. 20 participants (10 dressed casually and 10 participants to dressed professionally)

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