For a normal distribution with a mean of 10

QUESTION 27For a normal distribution with a mean of 10 and a standard deviation of 5, what is the probability of scoring below a 11.25? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 28For a normal distribution with a mean of 10 and a standard deviation of 5, what is the probability of scoring below a 12.25? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 29For a normal distribution with a mean of 10 and a standard deviation of 5, what is the probability of scoring below a 5? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 30For a normal distribution with a mean of 20 and a standard deviation of 10 what the probablity of scoring above a 17? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 31For a normal distribution with a mean of 20 and a standard deviation of 10 what the probablity of scoring above a 20? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 32For a normal distribution with a mean of 0 and a standard deviation of 1 what the probability of scoring between a -1.75 and 1.25? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 33For a normal distribution with a mean of 0 and a standard deviation of 1 what the probability of scoring between a 1.25 and 2.75? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.1 pointsQUESTION 34What proportion (in decimal form) of people have a favorite color blue? Round to the second decimal place. Use the following frequency table:colorfrequencyblue31green22red691 pointsQUESTION 35What is the sample correlation for the following data? Round to the second decimal place.xy3460518841 pointsQUESTION 36What is the sample correlation for the following data? Round to the second decimal place.xy8187175154231 pointsQUESTION 37A distribution has a mean of 9 and standard deviation of 2. What is the raw score for a z score of -1.02? Round to the second decimal place.UESTION 1A distribution has a mean of 5 and a standard deviation of 7 what is the z score of a raw score of 5. Round to the second decimal place.1 pointsQUESTION 2A researcher is interested in the effects of a drug therapy on depression in all adults with depression. The researcher gives the drug to 30 adults. She finds an average depression score of 3. The number 3 is a…samplepopulationparameterstatistic1 pointsQUESTION 3What percentage liked the movie? Round to the second decimal place.StatistifactionFrequencyLiked78Disliked101 pointsQUESTION 4Find the sample standard deviation for the following values. Round to the second decimal place.48, 31, 711 pointsQUESTION 5What is the sum of squares for the following data? Round to the second decimal place, if needed.54, 15, 37, 721 pointsQUESTION 6If the sample size is 99 what would be the degrees of freedom be for a one sample t-test?1 pointsQUESTION 7A professor knows his tests generally have an average of 75 with a standard deviation of 10. The professor is now teaching a condensed course in the summer. The summer course is less weeks than his normal classes. The professor is afraid that the summer course is too condensed and negatively affects tests scores. The professor administers his test to his current 64 students in his summer course. The mean of the 64 students is 71. Is there statistically significant evidence to conclude students in his summer class performed worse than students in his regular semester courses?What is the test statistic?1 pointsQUESTION 8ACT scores are normally distributed and have a mean of 20.8 and a standard deviation of 4.8. A researcher wants to know students at her college compare to the national average. The researcher randomly samples 36 students at her school. The sample average for the sample was 18. Do the students significantly differ from the general population?What should the null hypothesis be?1 pointsQUESTION 9A professor knows his tests generally have an average of 75 with a standard deviation of 10. The professor is now teaching a condensed course in the summer. The summer course is less weeks than his normal classes. The professor is afraid that the summer course is too condensed and negatively affects tests scores. The professor administers his test to his current 64 students in his summer course. The mean of the 64 students is 71. Is there statistically significant evidence to conclude students in his summer class performed worse than students in his regular semester courses?What should the null hypothesis be?1 pointsQUESTION 10A normal population has a mean of 25. After receiving a treatment, a sample of scores yields the following data: 20 28 20 20. Research question: Is there evidence for that the scores differ after receiving the treatment? What is the test statistic? Hint: Find the sample mean and sample standard deviation first.1.53.25-1.5-3.251 pointsQUESTION 11SAT scores are known to have a mean of 1500 and a standard deviation of 250. A researcher is testing out a new SAT prep course. The researcher selects 49 high school students with a variety ofGPAs. The students are given the prep course and then they take the SAT. The average SAT score for the students is 1600 Is there statistical evidence to conclude the prep course was effective? Use an alpha of .10.What should the null hypothesis be?1 pointsQUESTION 12The formula (X – ?)/? is used to calculate a:raw scoremean distributionstandard deviationz score1 pointsQUESTION 13A z score tells you how many _____ you are from the _____.mean deviations; medianstandard deviations; meanstandard deviations; medianmean deviations; mean1 pointsQUESTION 14A z score of –3.0 is _____ a z score of –2.0lower thanhigher thanthe same asmore standard than1 pointsQUESTION 15According to Cohen, a correlation of .6 is?weakmoderatestrong1 pointsQUESTION 16If the sample size is 51 and the t-statistic is -2, what is the p-value for a less than research hypothesis?.034578.012332.013874.0254741 pointsQUESTION 17For a perfect correlation to occur, what would need to be the next grade value. You may need to create a scatterplot.Hours StudiedGrade2606706708751080108012?1 pointsQUESTION 18Measures of central tendency and variability are calculated to describe the nature of charitable giving each year. These figures are computed for the “average” American citizen. Which of these is a possible value for the variance in dollars given?A.$47.26 squared dollarsB.$38.45 to $47.26C.–$47.26D.$47.261 pointsQUESTION 19As the sample size increases for a sampling distribution (n for each sample) the standard error decreases.TrueFalse1 pointsQUESTION 20The population of some scores are normally distributed, and a sample of 10 is taken, would the sampling distribution be normally distributed (according to the Central Limit Theorem)?yesno