A New Apparatus Has Been Devised to Replace the Needle $.07$

question 45

Essay

A new apparatus has been devised to replace the needle in administering vaccines. The apparatus, which is connected to a large supply of vaccine, can be set to inject different amounts of the serum, but the variance in the amount of serum injected to a given person must not be greater than $.07$ to ensure proper inoculation. A random sample of 25 injections was measured. Suppose the $p$ -value for the test is $p = .0031$ . State the proper conclusion using $\alpha = .01$ .

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Definitions:

Testosterone Levels

The concentration of the hormone testosterone in the bloodstream, which plays a key role in male physical features and reproduction.

Estrogen Levels

The concentration of estrogen hormones in the body, which play key roles in the reproductive system of females and influence other bodily functions.

Ovulation

The release of an egg from one of a female's ovaries, an essential part of the menstrual cycle related to fertility.

Sex Hormones

Biologically active chemicals that regulate the development and functioning of reproductive organs and sex-specific characteristics in animals, including humans.