Suppose X is normally distributed with a mean of μ=10 and a variance of σ2=9. Further suppose that a random sample of n=50 has been taken from this population. Which of the following statements is/are true about the distribution of the associated sample mean, ¯X?多项选择题
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From long-term observation, it is known that the waiting-time for non-ambulance adult arrivals in a hospital's A&E has a mean of 120 minutes and a standard deviation of 50 minutes. On a given day, there are 200 such arrivals. What is the probability that the daily mean for arrivals exceeds 125 minutes?
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There is variation in the amount of water put in 24-ounce bottles when filled on the assembly line. Amounts are skewed left with mean, 𝜇 = 24.1 oz, and standard deviation 𝜎 = 0.4 oz. If repeated random samples of size 36 bottles are pulled off the assembly line, what is the expected mean of the sampling distribution of 𝑋 ¯ ? Round your answer to the nearest hundredths place.
There is variation in the amount of water put in 24-ounce bottles when filled on the assembly line. Amounts are skewed left with mean, 𝜇 = 24.1 oz, and standard deviation 𝜎 = 0.4 oz. If repeated random samples of size 36 bottles are pulled off the assembly line, what will the standard error of the sampling distribution of 𝑋 ¯ be? Round your answer to the nearest hundredths place.
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