statistics probability

Written Work 1 Directions: State the null and alternative hypotheses of the following statements, both in words and in notations. Indicate also if the hypothesis is one-tailed or two- tailed. If it is one-tailed, identify the direction whether it is left or right. Use another sheet of paper. Ho H. Statements In In In In tailed words notations words notations test 1. The average number of students in a class is more than 40. Ho. Ho H.: 2. The average price of a certain gadget is less than Php 20,000. H. 3. Ms. Santos claims that on the average there are 25 working students in the classes she is handling. The school head wants to verify Hai Ho H.. whether the claim is acceptable or not. 4. Survey says that a typical student spends at least 4 hours daily in studying and answering Ho' worksheets. 5. In the previous month, the average family income in a certain purok was Php 9,000. The following month, 25 households had a mean of Ho' Ho. H. P8,000 and with standard deviation of Php120. Written Work 2 Directions: Identify if the t-values lie in the rejection or acceptance region. Then sketch a t- distribution for each item with shaded rejection region and correct labels. Use another sheet of paper. One point will be given for every correct answer and two points for every correct sketch with correct label. 1. critical t-value of 1.721 and computed t-value of 1.734 Sketch: The computed t-value is at the region. 2. critical t-value of 2.353 and computed t-value of 2.082 Sketch: The computed t-value is at the region. 3. critical t-value of -1.833 and computed t-value of -1.809 Sketch: The computed t-value is at the region. 4. critical t-value of -1.296 and computed t-value of -1.572 Sketch: The computed t-value is at the region. 5. critical t-value of +2.132 and computed t-value of -2.312 Sketch: The computed t-value is at the region