Question

Homework 12 Question 5 of 5 (1 point) Question Attempt 1 of Unlimited E The mean SAT score in mathematics, H, is 544. The standard deviation of these scores is 41. A special preparation course claims that its graduates will score higher, on average, than the mean score 544. A random sample of 90 students completed the course, and their mean SAT score in mathematics was 552. At the 0.01 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 41. Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. 0 р 1 The null hypothesis . :D x s The alternative hypothesis: OP D=0 OSO 020 The type of test statistic (Choose one) The value of the test statistics (Round to at least three decimal places.) 0 x 5 ? The p-value (Round to at least three decimal places.) Yes NO Can we support the preparation course's claim that its graduates score higher in SAT

Answer 1

The statistical software output for this problem is:

One sample Z summary hypothesis test:

μ : Mean of population
H₀ : μ = 544
H_A : μ > 544
Standard deviation = 41

Hypothesis test results:

Mean	n	Sample Mean	Std. Err.	Z-Stat	P-value
μ	90	552	4.3217795	1.8510894	0.0321

Hence,

Ho: $\mu$ = 544

H1: $\mu$ > 544

Type: z

Test statistic = 1.851

P Value = 0.032

Conclusion: No