Math 10-written Homework #1 Chapters t, 2 Alyson Butcher-Fal8 Name: Score points
ID: 3072408 • Letter: M
Question
Math 10-written Homework #1 Chapters t, 2 Alyson Butcher-Fal8 Name: Score points Your must state your answers clearly, in full sentences (where appropriate), to reccive credit! 1. Researchers wanted to determine the long-term benefits of the influenza vaccine (flu shot) on seniors aged 65 years and older. The researchers looked at records of over 36,000 seniors and divided them into two groups: who chose to get a flu shot and those who chose not to get a flu shot. Researchers then followed the seniors for 10 years, and recorded whether or not the seniors were hospitalized for pneumonia or influenza. poiens) those a) What is the researchers' question of interest? Give your answer as on actual question b) The treatment variable in this research is c) The outcome/response varlable in this research is d) The treatment group in this researchis Sines ah (Intsc to gct a flu shot e) The control group in this research s Semues whn chse not o cta lu stihot ) This research scenario describes an ioicle onel: Justify your answer 2. General Electric decorative Crystal Clear 60-watt lightbulbs have a lifetime that is approximately normally distributed, with a mean of 1550 hours and a standard deviation of 57 hours. (12 poists) a) The population of interest in this scenario is b) The variable of interest in this scenario is d d) This variable isol Write a complete sentence that interprets the mean within the context of this data. mean" or "average" in your sentence. not use the word (x9(s) The topic ia raldi te da ratur (est laia 40-voit aptur . rite a complete sentence that interprets the standard deviotion within the context of this data. You may not .HA.li07 Write a complete sentence that interprets the stondord deviation within the context of this data. You may not use the words"standard deviation" in your sentence. Identify the range of lightbulb lifetimes that includes the middle 95% of all lifetimes of GE decorative Crystal Clear 60-watt lightbulbs. Show your work. f) Write a complete sentence that interprets this range. g) What percent of GE lightbulb lifetimes are between 1379 and 1721 hours? Show work.Explanation / Answer
Solution2a:
the population of interest in this scenario is
GE 's 60 watt light bulbs
Solution2b:
variable of interest is life time
Solution2c:
The variable is numerical as we measure liftime in hrs of a bulb
Solution2f::
middle 95% is mean-2sigma and mean+2sigma
=1550-2*57,1550+2*57
=1436, 1664
We are 95% confident that the true mean life time of GE's decorative crystal clear 60 watt light bulb lies in between 1436 and 1664 hours.
Solution2g:
P(1379<X<1721)
P(X<1721)-P(X<1379)
=P(Z<(1721-1550/57)-P(Z<1379-1550/57)
=P(Z<3)-P(Z<-3)
=0.9986501-0.001349898
=0.9973002
=0.9973002*100
=99.73%
ANSWER:99.73%