INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving. 1. A researcher used a developed problem-solving test to randomly select 100 Grade 11 students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the population used in the standardization of the test were 170 and 60 respectively. Use the 95% confidence level to answer the following questions. A. Does the sample mean differ significantly from the population mean? B. Can it be said that the sample is above average? Steps Answer 1. Formulate the hypothesis: the null and alternative hypothesis. 2. Check the assumptions. • Is the sample size large enough for the Central Limit Theorem to apply? • Are the samples selected randomly? 3. Choose a significant level for a. Is the test two-tailed or one-tailed? Get the critical values from the test statistic table, Establish critical regions. 4. Select the appropriate test statistic. Compute the test statistic. 5. State the decision rule. 6. Compare the test statistic and the critical value. Based on the decision rule, decide whether to reject or to accept H. ● • Interpret the result.

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INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving.
1. A researcher used a developed problem-solving test to randomly select 100 Grade 11
students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the
population used in the standardization of the test were 170 and 60 respectively. Use the 95%
confidence level to answer the following questions.
A. Does the sample mean differ significantly from the population mean?
B. Can it be said that the sample is above average?
Steps
Answer
1. Formulate the hypothesis: the null and alternative
hypothesis.
2. Check the assumptions.
Is the sample size large enough for the
Central Limit Theorem to apply?
Are the samples selected randomly?
3. Choose a significant level for a.
Is the test two-tailed or one-tailed?
●
Get the critical values from the test statistic
table,
Establish critical regions.
4. Select the appropriate test statistic.
Compute the test statistic.
5. State the decision rule.
6. Compare the test statistic and the critical value.
● Based on the decision rule, decide whether to
reject or to accept H.
● Interpret the result.
Transcribed Image Text:INSTRUCTION: Complete the table below by applying hypothesis testing in problem-solving. 1. A researcher used a developed problem-solving test to randomly select 100 Grade 11 students. In this sample, X = 150 and s = 10. The mean and the standard deviation of the population used in the standardization of the test were 170 and 60 respectively. Use the 95% confidence level to answer the following questions. A. Does the sample mean differ significantly from the population mean? B. Can it be said that the sample is above average? Steps Answer 1. Formulate the hypothesis: the null and alternative hypothesis. 2. Check the assumptions. Is the sample size large enough for the Central Limit Theorem to apply? Are the samples selected randomly? 3. Choose a significant level for a. Is the test two-tailed or one-tailed? ● Get the critical values from the test statistic table, Establish critical regions. 4. Select the appropriate test statistic. Compute the test statistic. 5. State the decision rule. 6. Compare the test statistic and the critical value. ● Based on the decision rule, decide whether to reject or to accept H. ● Interpret the result.
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