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Find probability that the average pregnancy time length

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1) A women's pregnancy is said to be a normally distributed with an average time of 266 day and standard deviation of 16 days. Suppose 64 pregnant women are randomly selected. What is the probability that the average pregnancy time length is between 262 and 270 days?

2) A survey of 100 German shepherd dogs in an animal shelter reveal that the mean weight of a male German shepherd dog is 35kg, with a standard deviation of 5kg.What is the probability that the:

a) Mean weight of a male German shepherd to be between 31.5kg and 37kg.

b) Mean weight of a male German shepherd to be more than 36kg.

c) Mean weight of a male German shepherd to be less than 30 kg.

3) A manager in a bottling factory after measures of soda bottles founds that the mean weight is 32,3 ounce(oz) and standard deviation 0,3 ounce. The weight is normally distributed. If a customer is buying a pack of 4 bottles what is the probability the mean weigh of those 4 bottles to be more than 32 ounces. (answer: 0.9082)

4) A random sample of 100 men of the age 23years in a specific city gives mean weight 73.6 kg with standard deviation of 10 kg. Find the 99% confidence interval of the population mean using the sample mean weight of all 23years old men of this specific city.

5) A large industrial complex consist of two factories A and B. A sample of 100 workers from the A factory gave an average time of 30 minutes to complete the specific work with standard deviation of 3 minutes. For the same work in factory B a sample of 120 workers gave average time of 27 minutes with standard deviation of 2 minutes. Calculate for each factory a 95% confidence interval for the average time for the specific work.

6) A random sample of 100 home health visitors reported the number of visits to homes that they did last month. The mean value of the sample was 55 and the standard deviation 11. Find the 80% and 95% confidence interval of the mean number of visits.

Reference no: EM132844802

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