A math 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 μ = 515. 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 522 with a standard deviation of 119. Complete parts (a) through (d) below.
A. H0: μ = 515, H1: μ ≠ 515
B. H0: μ > 515, H1: μ ≠ 515
C. H0: μ < 515, H1: μ > 515
D. H0: μ = 515, H1: μ > 515
(b) Test the hypothesis at the α = 0.10 level of significance. Is a mean math score of 522 statistically significantly higher than 515? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
t0 =
(Round to two decimal places as needed.)