Here are practice problems for the final – no solutions will be…

QuestionHere are practice problems for the final – no solutions will be…Here are practice problems for the final – no solutions will be given but you may ask your instructor questions.On the exam you will read the followingSet up and show all steps that I have shown on the videos for full credit.   For hypothesis tests show the null and alternative hypothesis – the assignment of the claim, the distribution with the rejection and failure to reject regions, the p-value (if appropriate) the test statistic and the three-part conclusion.b. For confidence intervals show the numbers in place in the formula but then use the calculator to complete the interval.c. For all other types of problems show all work and write down your calculator steps.  Again, these are the instructions on the exam.Sample questions to think about.  These are short answer questions.1.  What is the default level of significance is none is given? 2. What is the default confidence level is none is given?3.   Should we reject the null hypothesis when the P-value = .05 and the Level of Significance = .10.4.  If the P-value is smaller than the alpha that means the test statistic is closer to the origin (zero) than the critical value (true or false).5.  The direction of the test (location of the rejection region: left tailed, two tailed or right tailed) is based off the null hypothesis or the alternative hypothesis?6.  True or False (and if false you need to correctly rewrite the statement):  The direction of the test is always based on the claim.7.  Is this true? The alternative hypothesis never contains equality.8. When does the r value indicate you have correlation?9.  Find the minimum sample size for the following. You wish to estimate with 90%confidence and within 3% of the true population, the proportion of senior citizens that need to be treated for heart disease. There is no initial estimate for p-hat.10.  Using the data from number 9 – If there was an initial estimate of 30%, what would be the minimum sample size?11.  A study of 24 forwards in soccer showed that their average number of goals in a season was 12 with a standard deviation of 2. Construct the confidence interval for the average number of goals in a season.12.  What is the z score formula if you are searching for a probability of ONE item being greater than a value?13.  What is the z score formula if you are searching for the probability of a MEAN with a sample size greater than 1 being greater than a value?  14.  The time a person feels ill from influenza is normally distributed with a mean of50 hours and a population standard deviation of 5 hours. If 25 women are randomly selected, findthe probability that they have a mean time of feeling ill that is between 47 hours and 55hours.  Assume the population is normally distributed.  15.  An advertising agency is trying to predict the percent of people who want certain colors of nerds.  They are claiming that 35% of the people like blue nerds, 45% would like red nerds and 20% would like mixed nerds.  A random sample of 500 people revealed that 250 wanted blue, 200 wanted red, and 50 wanted mixed. Does this data suggest that the percentages are correct?  Use a level of significance of .05 to test the claim. 16. Vitamin C is becoming an issue.  A researcher thinks that high school students are getting enough.  The researcher does a study of many local schools.  The table shows the number of student who got the daily, recommended allowance of vitamin C.  Can you conclude that the numbers of students who got the daily, recommended allowance of vitamin C is the same for all grades?  Test the claim at the level of significance of .05.Grade 9 Grade 10 Grade 11 Grade 1234 79 89 9045 31 89 3634 49 45 8840 46 36 5561   31 3013     22  17. You are investigating the relationship between the ages of U.S. adults and what aspect of career development they consider to be the most important.  You randomly collect the data shown in the contingency table.  Is there enough evidence to conclude that the age is related to which aspect of career development is considered to be the most important?Age Learning new skills Pay increases Career path18-26 years 29 15 2227-41 years 27 40 3242-65 12 25 18 18. A researcher wants to determine if there is a linear relationship between height and weight. The following table represents the data collected.  Display the data in a scatter plot on your calculator, draw a quick sketch below.  Then find the linear regression and put the line of best fit on the sketch.  Then state the value for the correlation coefficient and determine if this is a positive correlation or no correlation using the table in the back of the book.Age in years 10 15 45 32 66 75 81 55 45Height in feet 4 5.7 5.5 5.2 6 5.2 5.1 5.9 5.8 19. A medical researcher is conducting a study to test the effect of an anti-depression drug.  At the end of the study, the researcher found that of the 4400 randomly selected subjects who took the drug 301 had no improvement at all.  Of the 4700 randomly selected subjects who took the placebo 357 had no improvement at all.  At  can you support the claim that the proportion of subjects that have no improvement is the same for both groups.20.There are two math teachers at Delta College who are at odds about pedagogy.  One teacher (teacher A) claims that the traditional way of teaching math is better.  Teacher A’s students had a mean score of 473 with a standard deviation of 35.  This teacher had 12 students take the placement test.  Teacher B’s students had a mean score of 450 with a standard deviation of 40.  This teacher had 15 students take the test.  Can you conclude that the traditional way is better? Assume that the populations are normal and that the variances are not equal (not pooled). also make sure to have the standard deviation formulas on your sheet.There will be one, possibly two question(s) from chapter 11 – make sure you know your non-parametric test processesMathStatistics and ProbabilityMTH 208WShare Question