3. The local school system feels that the number of student absences in this county is lower than the published state average of 5.6 absences per year. They take a random sample of 120 students and the average number of absences is found to be 4.9. The likelihood that the local school system would observe a sample of this type assuming the state assertion is true is 0.0052. Use the above to formulate a null hypothesis and an alternate hypothesis. a.

4. 15 healthy adult subjects were asked to walk on a treadmill while connected to monitors. One of two kinds of disturbances was applied during the walk, and the number of steps until adaptation was recorded. Each subject experienced both kinds of disturbance, in random order and the researchers computed the difference between the two disturbances and were interested if the mean effect of the first disturbance was greater than the mean effect of the second. a. State the hypotheses to be tested. b. The test resulted in a t-value of 2.05 with 14 degrees of freedom. Compute the P-value

Two separate samples are selected from the same population. Each have an n=8. Both samples receive a different treatment. After the treatment, the first sample has SS=16 and the second sample has SS=24.   a. Using symbols, state the hypotheses for a two-tailed test.   b. With a two-tail α=0.05, identify the degrees of freedom and the critical regions.   c. Calculate the pooled variance.   d. Calculate the estimated standard error.   e. With a mean of 3 for the first group and mean of 6 for the second group, compute the t statistic. State the conclusion of these findings.   f. Calculate the estimated d AND r2

1. A programmer has developed a random number generator that gives a normally distributed set of results based on an input population mean and population standard deviation. To test the program, he inputs a mean of 20 and a standard deviation of 5. He generates 23 random numbers with a sample mean of 21.7 and a sample deviation of 5. He wants to test with 95% confidence whether or not this sample has the correct mean of 20. Which of these is the appropriate null hypothesis? (Ho: µ = 20 or Ho: µ =21.7) What z-value is calculated as the test statistic for this hypothesis? What is the p-value associated with this z? What is the decision? (fail to reject null hypothesis or reject null hypothesis) With 95% confidence based on this measurement, is the program working correctly?

The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H₁ that we would use for this test. Ho H₁: H₁: μ ☑ р <0 □□ 0 S ロ=ロ x □<□ □≠□ ค

The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.

The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 auto accidents per day with a standard deviation of 0.04. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.04. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H0 and the alternative hypothesisH1 that we would use for this test.

If a researcher obtains a sample mean of M= 54, from a population with u = 46. With a given alpha, which combination of factors is most likely to result in rejecting the null hypothesis?