A medical investigation claims that the average number of infections per week at a hospital is 13.7. A random sample of 10 weeks had a mean number of 14.8 infections. The sample standard deviation is 1.3. Is there enough evidence to reject the investigator's claim at a = 0.05 ? [5m]
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- The birth weight of newborn babes (measured by O'Cathain et al, 2002 n = 3226) is approximately normally distributed with a mean of 3.39kg and standard deviation of 0.55kg. Rounded to three decimals, What weight does a baby have to have to be in the 97%?On the planet of Mercury, 4-year-olds average 3.1 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.3 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible. b. Find the probability that the child spends less than 3.3 hours per day unsupervised. c. What percent of the children spend over 5.1 hours per day unsupervised. % (Round to 2 decimal places)d. 77% of all children spend at least how many hours per day unsupervised? hours.From a sample with n = 32, the mean duration of a geyser's eruptions is 3.42 minutes and the standard deviation is 1.12 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.18 and 5.66 minutes. At least of the eruptions lasted between 1.18 and 5.66 minutes. (Simplify your answer.)
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