Two-lined salamanders have weights that are normally distributed and on average 12.1 grams with a standard deviation of 1.9 grams. A random sample of 8 two-lined salamanders is selected and weighed. The probability that the sample mean is between 12.1-x and 12.1+x is around 0.68 (more precisely, 0.6827), for some value of x. What is the value of x Hint recall the Empirical Rule of the normal distribution. O a. The sample size is too small, so we cannot make probability calculations about the sample mean. O b. 1.90 O c. 0.24 O d. 0.95 O e. 12.10 O f 0.67

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Two-lined salamanders have weights that are normally distributed and on average 12.1 grams with a standard deviation of 1.9 grams. A random
sample of 8 two-lined salamanders is selected and weighed.
The probability that the sample mean is between 12.1-x and 12.1+x is around 0.68 (more precisely, 0.6827), for some value of x. What is the value of x
Hint recall the Empirical Rule of the normal distribution.
O a. The sample sizę is too small, so we cannot make probability calculations aboút the sample_mean.
O b. 1.90
O c. 0.24
O d. 0.95
O e. 12.10
O f. 0.67
Transcribed Image Text:Two-lined salamanders have weights that are normally distributed and on average 12.1 grams with a standard deviation of 1.9 grams. A random sample of 8 two-lined salamanders is selected and weighed. The probability that the sample mean is between 12.1-x and 12.1+x is around 0.68 (more precisely, 0.6827), for some value of x. What is the value of x Hint recall the Empirical Rule of the normal distribution. O a. The sample sizę is too small, so we cannot make probability calculations aboút the sample_mean. O b. 1.90 O c. 0.24 O d. 0.95 O e. 12.10 O f. 0.67
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