Patient satisfaction. Scores derived from a patient satisfactionsurvey are Normally distributed with ? = 50 and ? = 7.5, with highscores indicating high satisfaction. An SRS of n= 36 is taken fromthis population. What is the standard error (SE) of x for thesedata? We seek to discover if a particular group of patients comesfrom this population in which ? = 50. Sketch the curve thatdescribes the sampling distribution of the sample mean under thenull hypothesis. Mark the horizontal axis with values that are ±1,±2, and ±3 standard errors above and below the mean. Suppose in asample of n= 36 from this particular group of patients the meanvalue of x is 48.8. Mark this finding on the horizontal axis ofyour sketch. Then compute a z statistic for this scenario and makesure it matches your sketch. What is the two-sided alternativehypothesis for this scenario? Find the corresponding p-value foryour z-statistic using Table B. Draw a conclusion for this studyscenario based on your results
