Answer:
The sample size must be approximately 1067 to get a margin of error of 0.03.
Step-by-step explanation:
We are given the following in the question:
Margin of error = 0.03
Significance level = 5%
Margin of error =

Since, no prior proportions are given, we take


Putting values, we get,

Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.
Answer:
The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 50
We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.06.
P(X > x) = 6% = 0.06
Calculation the value from standard normal z table, we have,

Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.
Answer:
$236.40
Step-by-step explanation:
Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks of gas last month.
1 full tank holds 19.7 gallons of gas
4 full tank hold 4*19.7 gallons of gas
4 full tank = 78.8 gallons of gas used last month
She paid $3 for each gallon
We need to find the amount she paid for 78.8 gallons
78.8 * 3= 236.4
Mrs. Blanda spend on gas last month = $236.40