Lake Macatawa, an inlet lake on the east side of Lake Michigan, is divided into an east basin and west basin. To measure the effect on the lake of salting city streets in the winter, students took 32 samples of water from the west basin and measured the amount of west basin and measured the amount of sodium in parts per million in order to make statistical inference about the unknown mean sodium amount (u). From the 32 sample observations, the sample mean sodium amount was = 19.07ppm, while the standard deviation was 8 = 6.3922. a. b. C. d. e. R). What is the point estimate of the population mean µ? What is the standard error for this estimate? Find the critical value for creating a 95% confidence interval estimating . Using your answers for parts a, b, and c, create the 95% confidence interval by hand (do not use Based on the interval, can we conclude that the average amount of sodium in water from the west basin is less than 22 parts per million? Justify your answer.

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