Statistics

• It is the art and science of answering questions and exploring ideas.
• Through collecting, analyzing and describing the data.
• And presenting interferences about population based on a smaller sample.

Statistical literacy

• It is the ability of people to interpret and critically evaluate statistical information, data-based arguments and discuss their opinions regarding such statistical information.

Order of operation

• Parentheses
• Exponents and square roots
• Multiplication
• Division
• Addition
• Subtraction

1. Compute the confidence interval for a mean using the equation : X̄ ± SE (t*).

Ans: Confidence interval estimates how far away the population mean is likely to be.

Here,

X̄ = 5.770 , SE = 0.335 and t* = 2.080

Now, by formula ,

X̄  ± SE (t*).

Or, 5.770 ± 0.335 x 2.080

This means, 5.770 + 0.335 x 2.080 = 6.467

5.770 – 0.335 x 2.080 = 5.073

Therefore, the confidence interval is ( 5.073,6.467).