1. Patient satisfaction. Scores derived from a patient satisfaction survey are Normally distributed with = 50 and = 7.5, with high scores indicating high satisfaction. An SRS of n = 36 is taken from this population.
2. What is the standard error (SE) of x for these data?
3. We seek to discover if a particular group of patients comes from this population in which = 50.Sketch the curve that describes the sampling distribution of the sample meanunder the null hypothesis. Mark the horizontal axis with values that are 1, 2, and 3 standard errors above and below the mean.
4. Suppose in a sample of n = 36 from this particular group of patients the mean value of x is 48.8. Mark this finding on the horizontal axis of your sketch. Then compute a z statistic for this scenario and make sure it matches your sketch.
5. What is the two-sided alternative hypothesis for this scenario?
6. Find the corresponding p-value for your z-statistic using Table B.
7. Draw a conclusion for this study scenario based on your results.