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14. A researcher uses a hypothesis test to evaluate H0: = 80. Whichcombination of factors is most likely to result in rejecting the null hypothesis?a. x = 85 and n = 10b. x = 85 and n = 20c. x = 90 and n = 10d. x = 90 and n = 2015. On average, what value is expected for the t-statistic when the null hypothesis is true?a. 0b. 1c. 1.96d. t > 1.9616. A sample of n = 10 scores has x = 58, s2= 160 and a standard error of 4 points. Which of these values would decrease if the sample size was increased to n = 100?a. The value of x b. The value of s2c. The value of sxsxd. None would be changed just by increasing n18. For a normal population with= 100 ands= 20:What is the probability of obtaining a sample mean greater than 110 for a sample of n = 4 scores?(MUST SHOW WORK FOR THIS PROBLEM)Please round your answer to the second decimal place.19. For a normal population with= 100 ands= 20:What is the probability of obtaining a sample mean greater than 110 for a sample of n = 16 scores?(MUST SHOW WORK FOR THIS PROBLEM)Please round your answer to the second decimal place.20. For a normal population with= 100 ands= 20:For a sample of n = 25 scores, what is the probability that the sample mean will be within 5 points of the population mean (i.e, +/- 5 pts from the mean)?(MUST SHOW WORK FOR THIS PROBLEM)Please round your answer to the second decimal place.MathStatistics and Probability PSYCH 311

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