A random sample of air temperatures in December is taken from n = 82cities in Minnesota....
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A random sample of air temperatures in December is taken from n = 82cities in Minnesota. Temperature data is known to be normally distributed. The historical average temperature in Minnesota in December is μ = −15.6 and standard deviation σ = 5. Use Table 1. |
| a. |
Calculate the expected temperature value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.) |
| Expected value | |
| Standard error | |
| b. |
What is the probability that the sample mean temperature is less than −16? (Round final answer to 4 decimal places.) |
| Probability |
| c. |
What is the probability that the sample mean temperature falls between −16 and −15? (Do not round intermediate calculations; round final answer to 4 decimal places.) |
| Probability |
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