An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a.What is the null hypothesis (H0)?___________________________ b) What is the alternative hypothesis (Ha)?_______________________ c) What is the standard deviation of the sampling distribution? _____________________ d) What is the standard score and P-value? (CHOOSE ONE)
An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points.
a.What is the null hypothesis (H0)?___________________________
b) What is the alternative hypothesis (Ha)?_______________________
c) What is the standard deviation of the sampling distribution? _____________________
d) What is the standard score and P-value? (CHOOSE ONE)
a.Standard score = -1.3797 and P-value is 0.0808
b.Standard score = -1.3797 and P-value is 0.9192
c.Standard score = -1.3797 and P-value is 0.9680
d. Standard score = -1.3797 and P-value is 0.9032
e) Is this sample result good evidence that the mean of all students in this town is less than 261? State your decision, and put it in context sentence.
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