Question

Quiz 6Chapters&, (1585) Spo 2019 (2192) 7 of 8 Time Remaining 1:04:47 ne mean SAT rcore in mathematic. μ. is 559. 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 559. A random sample of 60 students completed the course, and their mean SAT score in mathematics was 564. A the 0.05 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. (If necessary, consult a list of 굶 fo |The alternative hypothesis: 14° OPİOg The value of the test statistic: The critical value at the 0.05 level of (Round to at least three n Yes that its graduates score higher in SAT?

Where it says “the type of test statistic , chose one) the options are Z, t , Chi square , F” thank you!

Answer 1

null hypothesis:Ho Alternate Hypothesis:Ha 559 559 for 0.05 level with right tailed test, critical value of z- Decision rule 1.645 reject Ho if test statistic z>1.645 population mean sample mean sample size population std deviation 559 564.00 60.00 41.000 μέ standard errror of means σ,-σ/in- 5.2931 test statistic z (X-μ)/σ,- 0.945 Ξ

from above:

null hypothesis:Ho		μ	=	559
Alternate Hypothesis:Ha		μ	>	559

type of the test statistic =z

test statistic =0.945

critical value =1.645

can we support: No