Use 4 decimal places for the final answer.

1. Iron-deficiency anemia is an important nutritional health problem in the United

States. A dietary assessment was performed on 51 boys, 9 to 11 years of age

whose families were below the poverty level. The mean daily iron intake among

these boys was found to be 12.50 mg with standard deviation 4.75 mg. Suppose

the mean daily iron intake among a large population of 9- to 11-year-old boys

from all income strata is 14.44 mg. We want to test whether the mean iron

intake among the low-income group is different from that of the general

population.

a. State the hypotheses.

b. State the type I and type II error

2. Listed below are the winning times (in seconds) of women in the 100-meter

dash for consecutive summer Olympic Games, listed in order by year. Assume

that the times are sample data from a larger population. We want to test

whether the mean of winning time is significantly lesser then the average time

of an elite athlete that is 13 seconds.( 0.05 confidence level)

11.07 11.08 11.06 10.97 10.54 10.82

10.94 10.75 10.93

a. Compute for xans s.

b. Compute for the test statistic t.

c. State the conclusion