Amath teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. based on data from the administrator of the exam, scores are normally distributed with mu equals513. the teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 518 with a standard deviation of 110. complete parts (a) through (d) below. (a) state the null and alternative hypotheses. let mu be the mean score. choose the correct answer below. a. upper h 0 : mu less than 513, upper h 1 : mu greater than 513 b. upper h 0 : mu equals 513, upper h 1 : mu not equals 513 c. upper h 0 : mu greater than 513, upper h 1 : mu not equals 513 d. upper h 0 : mu equals 513, upper h 1 : mu greater than 513 (b) test the hypothesis at the alpha equals0.10 level of significance. is a mean math score of 518 statistically significantly higher than 513? conduct a hypothesis test using the p-value approach. find the test statistic. t 0equals nothing (round to two decimal places as needed.) find the p-value. the p-value is nothing. (round to three decimal places as needed.) is the sample mean statistically significantly higher? what do you conclude about the impact of large sample p- value?
a) as n increases the likelihood of rejecting the null hypotheisi increases. however the large samlples tend to overemphasize practically insignificant differences
b)as n increases, the likelihood of not rejecting the null hypothesis increases. however large samples tend to overemphasized practically insigificant differences.
c)as n increases, the likelihood of not rejecting the null hypotheisi increases. however large samples tend to overemphasize practically significant differences.
d) as n increases, the likelihood of rejecting the null hypothesis increases. however large samples tend to overemphasize practically significant differences.