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Suppose Robbie is the educational director for a group of teen testprep programs in Nevada....

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Suppose Robbie is the educational director for a group of teen testprep programs in Nevada. He knows that the mean score on Nevada'smathematics exam is 114 points with a standard deviation of 18 points. Robbiethinks the teens in his program score differently than the population mean onNevada's mathematics exam. To test his claim, he randomly selects 250 of hisstudents and finds the mean test score of the sample to be 117 points.a. What are Robbie's null (Ho) and alternative (H?) hypotheses?A. Ho: u 114 pts and H?: u 114 ptsB. Ho: u114 pts and H?: u>114 ptsC. Ho: x=114 pts and H?: x # 114 ptsD. Ho: u 117 pts and H?: u 117 ptsE. Ho: x= 117 pts and H?:x> 117 ptsb. What is the z-statistic? Give your answer precise to two decimal places.c. What is the positive critical value z for a significance level of a= 0.05? Givevour answer precise to at least two decimal places.

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