Question 1 of 2

In a store chain with separate bakery departments it is required, that the breads in all the chain’s bakery shops are reasonably homogeneous. For the weight of a given bread the following requirements are specified:

1% of the breads are allowed to weigh below 600 g.

5% of the breads are allowed to weigh above 650 g.

Data are assumed to follow a normal distribution

The mean and standard deviation $(\mu ,\sigma )$ to be used for the production to meet these requirements are:

Question 2 of 2

The following data are measurements of albumin in blood samples from a group of people consisting of 7 males and 8 females. The standard deviation and the mean of the measurements are given separately for the two groups:

                  Mean Standard deviation
Males 38 36 37 41 37 43 41   $\overline{x}_1=39.0$ $s_1=2.6458$
Females 45 39 41 44 47 46 44 42 $\overline{x}_2=43.5$ $s_2=2.6726$

Assume that the female population, which the sample of the 8 females represents, consists of 100000 females.

Based on the estimated distribution for the females, how many females in the population are expected to have an albumin content in the blood equal to 48 or larger?