The number of successes in n trials is to be used to test the hypothesis that the parameter of a binomial population als against the altermative that it does not equal - sheחחה

A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…

A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…

A certain medical school accepts only 8% of applicants. A prep program claims that their students are admitted to this medical school at a higher rate. To test their claim at the 10% significance level, we select at random 144 students from the prep program (who all apply to this medical school), and we compute p, the proportion of the sample who are admitted to the medical school.

Xu and Garcia (2008)conducted a research study demonstrating that 8-month-old infants appear to recognize which samples are likely to be obtained from a population and which are not. In the study, the infants watched as a sample of n = 5 ping-pong balls was selected from a large box. In one condition, the sample consisted of 1 red ball and 4 white balls. After the sample was selected, the front panel of the box was removed to reveal the contents. In the expected condition, the box contained primarily white balls like the sample, and the infants looked at it for an average of M = 7.5 seconds. In the unexpected condition, the box had primarily red balls, unlike the sample, and the infants looked at it for M = 9.9. The researchers interpreted the results as demonstrating that the infants found the unexpected result surprising and, therefore, more interesting than the expected result. Assuming that the standard error for both means is σM = 1 second, draw a bar graph showing the two sample…

Again, you play the game where Bianca rolls a die and wins if it shows a 1 or a 2, otherwise you win. Out of 7 games, how many times does she have to win at least so that you would reject the null hypothesis (that the die is fair, results random) at the 5%-significance level?  You can look up numbers in the Binomial table, but remember that one number is not enough. You can also use the Online Calculator, but then you need to convert the answer to percent.

Research has shown that losing even one night’s sleep can have a significant effect on performance ofcomplex tasks such as problem solving (Linde &Bergstroem, 1992). To demonstrate this phenomenon,a sample of n=25 college students was given aproblem-solving task at noon on one day and again atnoon on the following day. The students were notpermitted any sleep between the two tests. For eachstudent, the difference between the first and secondscore was recorded. For this sample, the studentsaveraged MD=4.7 points better on the first test with avariance of s2=64 for the difference scores. a.Do the data indicate a significant change in problem-solving ability? Use a two-tailed test with a= .05. b.Compute an estimated Cohen’s dto measure thesize of the effect

In this unit, three important characteristics of a binomial experiment are summarized:   fixed number of trials. two possible outcomes; and n independent trials repeated using the same conditions.   Based on the above mentioned characteristics, Think of a binomial experiment example from your own area of interest. Describe how the experiment selected meets all the characteristics of a binomial experiment.