Final Exam in Statistics

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What is the appropriate null hypothesis?

• The average tuition fee in the targeted university is at most Php20,000.

• The average tuition fee in the targeted university is at least Php20,000.

• The average tuition fee in the targeted university is less than Php20,000.

• The average tuition fee in the targeted university more than Php20,000.

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What will be the appropriate alternative hypothesis?

• The average tuition fee in the targeted university is less than Php20,000.

• The average tuition fee in the targeted university is more than Php20,000.

• The average tuition fee in the targeted university is at most Php20,000.

• The average tuition fee in the targeted university is at least Php20,000

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What is the level of significance.

• 5%

• 0.5%

• 0.10

• 0.5

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What kind of test will be used?

• One-tailed test.

• Two-tailed test

• Three-tailed test

• No-tailed test

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What test statistic to be used?

• 
• 
• 
• 

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

Find the value of the population standard deviation.

• 𝜎 = 300

• 𝜎 = 400

• 𝜎 = 500

• 𝜎 = 450

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What is the tabular value or critical value of the level of significance or alpha?

• -1.645

• -1.546

• -1.654

• -1.456

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

What is the appropriate decision rule?

• Reject H_o if the t_C < -1.645. Otherwise, fail to reject the null hypothesis.

• Reject H_o if the t_C < -1.546. Otherwise, fail to reject the null hypothesis.

• Reject H_o if the t_C < -1.456. Otherwise, fail to reject the null hypothesis

• Reject both null and alternative hypothesis.

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

Find the value of the computed test statistic.

• -5.2

• 2.0

• -2.5

• -2.0

The father of a senior high school student is listing down the expenses he will incur when he sends his daughter to the university. At the university where he wants his daughter to study, he hears that the average tuition fee is at least Php20,000 per semester. He wants to do a test of hypothesis. Suppose from a simple random sample of 16 students, a sample mean of Php19,750 was obtained. Further, the variable of interest, which is the tuition fee in the university, is said to be normally distributed with an assumed population variance equal to Php160,000 and level of significance 𝛼 = 5% 0𝑟 0.05.

Based on the decision, what is the appropriate conclusion?

• Therefore, the father can say that the average tuition fee in the university where he wants his daughter to study is at least Php20,000.

• Therefore, the father can say that the average tuition fee in the university where he wants his daughter to study is less than Php20,000.

• Therefore, the father can say that the average tuition fee in the university where he wants his daughter to study is at most Php20,000.

• Therefore, the father can say that the average tuition fee in the university where he wants his daughter to study is greater than Php20,000.