Statistics

Q4 WEEK1 I. Identify whether the following is a null hypothesis or an alternative hypothesis. 1. The average age of grade eleven students is 17 years old. 2. The mean content of citric acid in a bottle of juice drinks is greater than 2 ml. 3. The average monthly salary of private school teachers is less than Php 16,000. 4. The mean weight of newborn babies is 0.5 kg. 5. The average IQ of grade eleven students is less than 108. Il. Formulate the null and alternative hypotheses and identify the type of test to be used. 1. The percentage of college students employed full-time in 1998 was 63.7% Has this percentage increased? 2. In 1990, the percentage of persons in the U.S. living in rural areas was 24.8% Has this percentage decreased? 3. The average farm debt in 1997 was Php 86,500 per farm. Has this average changed?Q4_WEEK2 Consider the problem below. Show the 5-step solution of hypothesis testing. A manufacturer of cellular phone batteries claims that the mean life of his products lasts for 26 hours with the standard deviation of 5 hours. Mr. Co, a regular customer randomly tested 35 of their batteries. He found out that the average life is 24.3 hours. Is the claim of the company true? Use a=5%