![]() It is known that the heights of the population are random variables that follow a normal distribution with a variance of 0.16 m.ġ.Determine the interval of 95% confidence for the average heights of the population.Ģ. The average heights of a random sample of 400 people from a city is 1.75 m. The following prices were noted:ĩ5, 108, 97, 112, 99, 106, 105, 100, 99, 98, 104, 110, 107, 111, 103, 110.Īssuming that the prices of this product follow a normal law of variance of 25 and an unknown mean:ġ.What is the distribution of the sample mean?Ģ.Determine the confidence interval at 95% for the population mean. What is the probability that the mean of a random sample of 100 students will be taller than 1.60 m?Ī sample of the various prices for a particular product has been conducted in 16 stores which were selected at random in a neighborhood of a city. The height of students studying at a language school follows a normal distribution with a mean of 1.62 m and a standard deviation of 0.12. ![]() Given the population of elements: Ģ.Calculate the variance of the population.ģ.Calculate the variance of the sample averages. ![]()
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