A city health department wishes to determine if the mean bacteria count per unit volume of water at a lake beach is within the safety level of 200. A researcher collected 10 water samples of unit volume and found the bacteria counts to be

175, 190, 205, 193, 184, 207, 204, 193, 196, 180

Do the data strongly indicate that there is no cause for concern? Test with α=0.05.α=0.05.

(a) Formulate the null and the alternative hypothesis.

(b) State and calculate the test statistics from the data.

(c) Calculate the P-value.

(d) Draw a conclusion.