Applying Hypothesis Testing on the Population Mean in Problem Solving

1.In a recent survey, a researcher claimed that on average, Filipino teenagers watch K-dramas for 3.5 hours daily. Is the claim correct if a random sample of 50 Filipino teenagers showed a mean of 2.8 hours with a standard deviation of 0.9 hours? Use 99% confidence level.

*use critical value method*

• state the null and alternative hypothesis
• choose the level of significance
• compute the test statistic
• determine the critical value
• draw a conclusion

2.A group of researchers claimed that the average life expectancy of people in a certain country is 72 years. Is the claim correct if a random sample of 25 deaths from this country showed a mean of 71.2 years with a standard deviation of 1.2 years? Use 99% confidence level.

*use critical value method and p-value method

• state the null and alternative hypothesis
• choose the level of significance
• compute the test statistic
• determine the p-value
• draw a conclusion