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According to a study of Lehman college students, the mean income of a student is 50,000...

  1. According to a study of Lehman college students, the mean income of a student is 50,000 dollars a year. You think this information is incorrect. You randomly select 20 students and choose the find that the average income for their surgeries is $35,250. The population standard deviation is known to be 6000 dollars and the population is normally distributed. Suppose that the researcher is using an Alpha of .05. Please answer the questions below. (Total points: 10
    1. What is the null and alternative hypotheses for the question? Please write out the hypotheses below. (3)
    2. What is the Statistic we use for this distribution? (1) And Why? (1)
    3. What is the Statistic for the Sample above? (1)
    4. What is the P-Value for this distribution? (2) please show work.
    5. Do we reject the null hypotheses? (1) And please interpret the outcome in the context of the problem (1):
math   Statistics-And-Probability   
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Let M be the population mean income of a student of Lehman college We want to test whether is different from 50,000. a Then t

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