What is the se of x-bar for data

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Problem: Scores derived from a patient satisfaction survey are Normally distributed with μ= 50 and σ= 7.5, with high scores indicating high satisfaction. An SRS of n = 39 is taken from this population.

Required:

Question 1: What is the SE of x-bar for these data?

Question 2: We seek evidence against the hypothesis that a particular group of patients comes from a population in which μ= 50. Sketch the curve that describes the sampling distribution of x-bar under the null hypothesis. Mark the horizontal axis with values that 1, 2, 3 standard errors above and below the mean

Question 3: Suppose a sample of n = 36 finds an x-bar of 48.8. Mark this finding on the horizontal axis of your sketch. Then calculate the Zstatfor the result. Does this observation provide strong evidence against H0?

Reference no: EM132439526

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