A laboratory has devised a new method to identify Selenurea in water, an organoselenic compound that appears as a white solid. For tap water, the Selenurea rate follows a Normal distribution with an expected value of 50 ng/ml. A size 5 sample is taken from the tap water. The mean of these values is 50.77 ng/ml and the standard deviation is 1. Given a 10% significance level, is there evidence that the mean has changed? (a) H0 : µ = 50 vs. Ha : µ 6= 50. There is evidence that the mean (µ) has changed. (b) H0 : µ ≥ 50 vs. Ha : µ < 50. The mean (µ) has certainly changed. (c) H0 : µ = 50 vs. Ha : µ 6= 50. There is no evidence that the mean (µ) has changed. (d) H0 : ¯x = 50 vs. Ha : ¯x = 50.77. There is no evidence that the mean (µ) has not changed. (e) H0 : ¯x ≤ 50.77 vs. Ha : ¯x > 50.77. There is evidence that the mean (µ) has changed

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A laboratory has devised a new method to identify Selenurea in water, an organoselenic compound that appears as a white solid. For tap water, the Selenurea rate follows a Normal distribution with an expected value of 50 ng/ml. A size 5 sample is taken from the tap water. The mean of these values is 50.77 ng/ml and the standard deviation is 1. Given a 10% significance level, is there evidence that the mean has changed?
(a) H0 : µ = 50 vs. Ha : µ 6= 50. There is evidence that the mean (µ) has changed.
(b) H0 : µ ≥ 50 vs. Ha : µ < 50. The mean (µ) has certainly changed.
(c) H0 : µ = 50 vs. Ha : µ 6= 50. There is no evidence that the mean (µ) has changed.
(d) H0 : ¯x = 50 vs. Ha : ¯x = 50.77. There is no evidence that the mean (µ) has not changed.
(e) H0 : ¯x ≤ 50.77 vs. Ha : ¯x > 50.77. There is evidence that the mean (µ) has changed

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