3. A consumer advocacy group suspects that a local supermarket's 500 grams of sugar actually weigh less than 500 grams. The group took a random sample of 20 such packages, weigh each one, and found the mean weight for the sample to be 496 grams with a standard deviation of 8 grams. Using 10% significance level, would you conclude that the mean weight is less than 500 grams? Also, find the 90% confidence interval of the true mean. Solution: Step 1: State the hypotheses. H Step 2: The level of significance and critical region. a = df = and t Step 3: Compute for the value of one sample t test. tempand =, Step 4: Decision rule. Step 5: Conclusion. Step 6: Confidence interval.

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3. A consumer advocacy group suspects that a local supermarket's 500 grams of sugar
actually weigh less than 500 grams. The group took a random sample of 20 such
packages, weigh each one, and found the mean weight for the sample to be 496 grams
with a standard deviation of 8 grams. Using 10% significance level, would you conclude
that the mean weight is less than 500 grams? Also, find the 90% confidence interval of
the true mean.
Solution:
Step 1: State the hypotheses.
Ho:
Step 2: The level of significance and critical region. a =
df =
and tal=
Step 3: Compute for the value of one sample t test. tmpund =
Step 4: Decision rule.
Step 5: Conclusion.
Step 6: Confidence interval.
Transcribed Image Text:3. A consumer advocacy group suspects that a local supermarket's 500 grams of sugar actually weigh less than 500 grams. The group took a random sample of 20 such packages, weigh each one, and found the mean weight for the sample to be 496 grams with a standard deviation of 8 grams. Using 10% significance level, would you conclude that the mean weight is less than 500 grams? Also, find the 90% confidence interval of the true mean. Solution: Step 1: State the hypotheses. Ho: Step 2: The level of significance and critical region. a = df = and tal= Step 3: Compute for the value of one sample t test. tmpund = Step 4: Decision rule. Step 5: Conclusion. Step 6: Confidence interval.
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