Under what conditions is the sampling distribution of x̄ normal?
Answer to relevant QuestionsThe total energy need during pregnancy is normally distributed, with mean µ = 2600 kcal/day and standard deviation σ = 50 kcal/day. (a) What is the probability that a randomly selected pregnant woman has an energy need of ...During the course of a typical season, suppose a batter has 500 at-bats. This means the player has the opportunity to get a hit 500 times during the course of a season. Further, suppose a batter is a career 0.280 hitter (he ...A simple random sample of size n = 10 is obtained from a population that is normally distributed with µ = 30 and σ = 8. What is the sampling distribution of x̄? A simple random sample of size n = 49 is obtained from a population with µ = 80 and σ = 14. (a) Describe the sampling distribution of x̄. (b) What is P(x̄ > 83)? (c) What is P(x̄ ≤ 75.8)? (d) What is P(78.3 < x̄ < ...Based on tests of the Chevrolet Cobalt, engineers have found that the miles per gallon in highway driving are normally distributed, with a mean of 32 miles per gallon and a standard deviation of 3.5 miles per gallon. (a) ...
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