Healthy children from well to do families were surveyed for their weight. The distribution of 450 girls by weight, taken within a week of their seventh birthday,

1

Healthy children from well to do families were surveyed for their weight. The distribution of 450 girls by weight, taken within a week of their seventh birthday, is as follows:

Find the mean, meddian, mode and standard deviation. A girl who is 7 year old comes to clinic from the same area. Her weight is 18.3 kg. Can she be considered under weight?

7.5

2

Suppose that diastolic blood pressure in hypertensive women centers about of mean 100 mmHg with standard deviation 14 mmHg is normally distributed. Find the probability that a women randomly selected from this population will have:

(i)    A diastolic blood pressure less than 88 mmHg.

(ii)  A pressure between 96 and 104.

(iii)                       The pressure below which pressure of 99% of the population diastolic blood pressure lie.

(iv)                       The two diastolic pressures between which the central 95% of the pressures in the population lie.

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3

We have the data on the lean body mass and resting metabolic rate for 8 women who are subjects in a study of dieting. Lean body mass (kg), is a person’s weight leaving out all fat. Metabolic rate (K cal) burned per 24 hours, is the rate at which the body consumes energy.

Establish a regression line taken metabolic rate as a response variable.  Another woman has lean body mass 45 kg. What is her predicted metabolic rate?

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4

The chest circumference of presumably normal newborn baby girl is normally distributed with µ=13.0 inch and σ=0.7 inch. A group of 49 newborn baby girls from a population group living in a remote region and thought perhaps to constitute a genetic isolate are studied and found to have an average chest circumference of 12.6 inch. In this evidence that the group of 49 come from a population with parameter values different from the values µ=13.0 inch and σ=0.7 inch. Also estimate 95% confidence interval in which the chest circumference of this group of 49 newborn baby girls expected to lie.

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