1.The ages of all kindergarten children are normally distributed with Listed bel
ID: 3252746 • Letter: 1
Question
1.The ages of all kindergarten children are normally distributed with
Listed below are the times it takes for certain bands on stage to
complete their first song (in seconds).
438 312 327 309 344 313 318 315 325 331 312
Suppose a new band joins this group and performs for 4 minutes.
Would this new band be considered unusual? Please explain.
3.
In the United States, 60% of the population have brown eyes.
If 37 people are randomly selected,
find the probability that exactly 22 of them will have brown eyes.
Your answer should be rounded to five decimal places.
4.
A survey of 6164 people included questions about office relationships.
Of the respondents, 25.5% reported that their bosses scream at employees.
Suppose you want to test the claim that
more than 1/4 of people say their bosses scream at employees.
What kind of hypothesis test would you use?
Listed below are the times it takes for certain bands on stage to
complete their first song (in seconds).
438 312 327 309 344 313 318 315 325 331 312
Suppose a new band joins this group and performs for 4 minutes.
Would this new band be considered unusual? Please explain.
3.
In the United States, 60% of the population have brown eyes.
If 37 people are randomly selected,
find the probability that exactly 22 of them will have brown eyes.
Your answer should be rounded to five decimal places.
4.
A survey of 6164 people included questions about office relationships.
Of the respondents, 25.5% reported that their bosses scream at employees.
Suppose you want to test the claim that
more than 1/4 of people say their bosses scream at employees.
What kind of hypothesis test would you use?
Explanation / Answer
1. Mean = 4 years = 48 months
Standard deviation = 6 months
So,
P(X < 4 years 4 months)
= P(X < 52 months)
= P(z < (52 - 48)/6)
= P(z < 0.67)
= 0.7486
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