It Is Desired to Test $\mathrm { H } _ { 0 } : \mu = 50$

question 10

Multiple Choice

It is desired to test $\mathrm { H } _ { 0 } : \mu = 50$ against $\mathrm { H } _ { \mathrm { A } } : \mu \neq 50$ using $\alpha = 0.10$ . The population in question is uniformly distributed with a standard deviation of 15. A random sample of 49 will be drawn from this population. If $\mu$ is really equal to 48 , what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

• A) \(0.2433\)
• B) \(0.8994\)
• C) \(0.7567\)
• D) \(0.1006\)

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Definitions:

Surviving

The act of continuing to live or exist, especially in spite of difficult circumstances or challenges.

Glucosamine

A natural compound found in cartilage, often used in dietary supplements to support joint health and alleviate the symptoms of arthritis.

Cytosine

A pyrimidine base found in DNA and RNA that pairs with guanine during the nucleic acid synthesis.

Base Pairs

The pairs of nucleotides (adenine with thymine, and cytosine with guanine) in DNA that form the rungs of the double helix structure, fundamental for DNA replication and genetic information.