Question

Bankimanager.Athill wants to determine the perceet of time that telers are working and lide. He decides to use work sampling. and his initial estimate is that ine tellers are idle 183 . of the time. (Round all intemendate calctilators to at iesd two docimal places before procooding with further calculatons) The number of observations that need to be taken by Hall to be 95.45% conflident that the tesules will not be more than 6% from the true result =___next whale numbor)

Answer 1

To determine the number of observations needed to be 95.45% confident that the results will not be more than 6% from the true result, we can use the formula: n = (Zα/2 * σ / E)^2. To find the next whole number, we can round up the result of (Zα/2)^2 to the nearest whole number and add 1 if necessary.

Step-by-step explanation:

To determine the number of observations needed to be 95.45% confident that the results will not be more than 6% from the true result, we can use the formula:

n = (Zα/2 * σ / E)^2

Where:

n = number of observations,

Zα/2 = Z-score corresponding to the desired confidence level,

σ = standard deviation of the sample proportion (0.06 in this case),

E = maximum error bound (0.06).

Plugging in the values, we get:

n = (Zα/2 * 0.06 / 0.06)^2

n = (Zα/2)^2

To find the next whole number, we can round up the result of (Zα/2)^2 to the nearest whole number and add 1 if necessary.