According to PrepScholar, the mean of SAT test score is 1051. A simple random sample of 45 students had mean SAT score of 1100 with a standard deviation of 172. Use 0.01 significance level to test the claim that the mean SAT score is greater than 1051 points. Round to four decimal places if necessary. a) Null hypothesis Ho : 1051 Use "mu" for / and "p" for p. Alternate hypothesis H1 : Use "mu" for u and "p" for p. b) Type of test: -tailed test. Type in "left", "right", or "two". c) significance level: a = d) Test statistic: Clear state whether test statistic in this claim is z or t. For example, "z=1.2345" e) Compute p-value of the test statistic. f) Decision: No Type "yes" if reject null hypothesis. Type "no" if not to reject null hypothesis. g) Write conclusion on your paper and upload later