Answer:
The number of observations required is closest to 609 ⇒ b
Step-by-step explanation:
The formula of the sample size is n = [( . σ)/E]² , where
- σ is the standard deviation
- E is the margin of error
- is the z-score, where 1 - α = confidence interval
∵ We want 90% confidence interval for the average amount
spent on books by freshmen in their first year at a major
university
∴ 1 - α = 90%
∵ 90% = 90 ÷ 100 = 0.90
∴ 1 - α = 0.90
- Subtract 1 from both sides
∴ - α = -0.10
- Divide both sides by -1
∴ α = 0.10
- Find the value of
∴ = = 0.05
- Look to the normal distribution table to find z-score for this
value with opposite sign
∴ = 1.645
∵ The interval is to have a margin of error of $2
∴ E = 2
∵ We estimate that the standard deviation of the amount spent
will be close to $30
∴ σ = 30
- Substitute these values in the formula above
∴ n = [(1.645)(30) ÷ 2]²
∴ n = 608.855
- Round it to the whole number
∴ n = 609
The number of observations required is closest to 609
Answer:
See explaination
Step-by-step explanation:
Please kindly check attachment for detailed and step by step solution of the given problem.
Answer:
a) Using distance formula to show the two segments are congruent.
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The answer is 1/5
Let's pretend it's 4 instead of 4/5
If Geo has to split 4 gallons into 4 bottles, the answer would be 1 right?
but now, it's 4/5, each bottle would have 1/5 of the gallon of water