A hotel installs smoke detectors with adjustable sensitivity in allpublic guest

Question

A hotel installs smoke detectors with adjustable sensitivity in allpublic guest rooms.
Requirement 1: State the null and alternative hypothesis: There is no fire: Null hypothesis or Alternativehypothesis? There is a fire: Alternative hypothesis or Nullhypothesis?
Requirement 2: Define Type I and II error. What are the consequencesfor each? 1. A smoke detector sounds an alarm when there is nofire: a. Type I? b. Type II? 2. A smoke detector does not sound an alarm when there is afire: a. Type I b. Type II Requirement 3: Which is more to be feared? a. Type I? b. Type II? Requirement 4: If the hotel decides toreduce risk, what would be theconsequences? (check all box(es) that apply.) a. Increase in employees salary b. Increase in Type I error c. Increase in Type II error d. Increase in false alarm e. Increase in manufacturing cost Requirement 5: IF the hotel decided toreduce risk, Who would beaffected? (check all that apply) a. Guests of the hotel b. Competitors c. Fire department d. Public e. Wholesale vendors
Requirement 1: State the null and alternative hypothesis: There is no fire: Null hypothesis or Alternativehypothesis? There is a fire: Alternative hypothesis or Nullhypothesis?
Requirement 2: Define Type I and II error. What are the consequencesfor each? 1. A smoke detector sounds an alarm when there is nofire: a. Type I? b. Type II? 2. A smoke detector does not sound an alarm when there is afire: a. Type I b. Type II Requirement 3: Which is more to be feared? a. Type I? b. Type II? Requirement 4: If the hotel decides toreduce risk, what would be theconsequences? (check all box(es) that apply.) a. Increase in employees salary b. Increase in Type I error c. Increase in Type II error d. Increase in false alarm e. Increase in manufacturing cost Requirement 5: IF the hotel decided toreduce risk, Who would beaffected? (check all that apply) a. Guests of the hotel b. Competitors c. Fire department d. Public e. Wholesale vendors

Explanation / Answer

Requirement 1: Null hypothesis: There is no fire. Alternative hypothesis: There is a fire. Requirement 2: Type I error: A smoke detector sounds an alarm when there is nofire. Type II error: A smoke detector does not sound an alarm when thereis a fire. Requirement 3: Consequence of making a type I error is that some guests will beinconvenienced by a false alarm and there is the cost of having the fire department summoned.Consequence of making a type II error is that the hotel will burn down and perhaps kill orinjure many. Requirement 4: Reducing risk would increase the likelihood making a Type Ierror, Requirement 5: Reducing risk would increase the likelihood making a Type Ierror, increasing the likelihood of a false alarm. Guests of the hotel and perhaps the firedepartment would be affected.

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