Assume that daily tips = X earned by a waiter who works eight hours a day are normally distributed with mean = µ = 54 and standard deviation = o = 8 Use normal table to answer questions below. 1. Find the chance that a randomly selected waiter eared below $44 2. Determine proportion of waiters with daily tips more than $60 3. Evaluate probability that a randomly selected waiter earns between $50 and $56 in one day.

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Assume that daily tips = X earned by a waiter who works eight hours a day are normally distributed with
mean = µ = 54 and standard deviation
= 0 = 8
Use normal table to answer questions below.
1. Find the chance that a randomly selected waiter earned below $44
2. Determine proportion of waiters with daily tips more than $60
3. Evaluate probability that a randomly selected waiter earns between $50 and $56 in one day.
4. Determine the upper and lower fifth percentiles for X.
Transcribed Image Text:Assume that daily tips = X earned by a waiter who works eight hours a day are normally distributed with mean = µ = 54 and standard deviation = 0 = 8 Use normal table to answer questions below. 1. Find the chance that a randomly selected waiter earned below $44 2. Determine proportion of waiters with daily tips more than $60 3. Evaluate probability that a randomly selected waiter earns between $50 and $56 in one day. 4. Determine the upper and lower fifth percentiles for X.
Assume that daily tips = X earned by a waiter who works eight hours a day are normally distributed with
mean = mu = 54 and standard deviation = o = 8
Consider a sample of n = 4 days with tips amount per day recorded as {X1, X2, X3, X4} and analyze the
distribution of average tips, Y = X based on these records.
Answer questions below using sampling distribution of the sample mean
1. Evaluate probability that Y is between $53 and $55
2. Find the chance that Y will exceed $57
3. How likely is it to find Y below $55?
4. Determine upper and lower 2.5% of Y-values using 20.025
1.960.
Transcribed Image Text:Assume that daily tips = X earned by a waiter who works eight hours a day are normally distributed with mean = mu = 54 and standard deviation = o = 8 Consider a sample of n = 4 days with tips amount per day recorded as {X1, X2, X3, X4} and analyze the distribution of average tips, Y = X based on these records. Answer questions below using sampling distribution of the sample mean 1. Evaluate probability that Y is between $53 and $55 2. Find the chance that Y will exceed $57 3. How likely is it to find Y below $55? 4. Determine upper and lower 2.5% of Y-values using 20.025 1.960.
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