A Contact Lens Wearer Read That the Producer of a New

question 4

Multiple Choice

A contact lens wearer read that the producer of a new contact lens boasts that their lenses are
Cheaper than contact lenses from another popular company. She collected some data, then tested
The null hypothesis $$\mathrm { H } _ { 0 } : \mu _ { o l } d - \mu _ { n e w } = 0 \text { against the alternative } \mathrm { H } _ { \mathrm { A } } : \mu _ { o l } - \mu _ { n e w } > 0$$
0) Which of the
Following would be a Type II error?

• A) Deciding that the new lenses are cheaper, when in fact they are not.
• B) Deciding that the new lenses are not really cheaper, when in fact they are not.
• C) Deciding that the new lenses are cheaper, when in fact they really are.
• D) Applying these results to all contact lenses, old and new.
• E) Deciding that the new lenses are not really cheaper, when in fact they are.

---

Definitions:

Experiment

A research method involving the manipulation of one variable to determine its effect on another variable while controlling for extraneous variables.

Unbiased Coins

A coin for which the probability of landing on heads or tails is exactly equal, with no preference towards either side.

Simple Events

Individual outcomes that are distinct and unambiguous in a probability experiment.

Laboratory Test

Analytical tests and procedures carried out in a controlled environment to investigate the composition or properties of materials.