Alightbulb manufacturer wants to estimate the total number of defective bulbs contained in all of the boxes shipped by the company during the past week. production personnel at this company have recorded the number of defective bulbs found in each of 50 randomly selected boxes shipped during the past week. these data are provided in the file p08_12.xlsx. calculate a 95% confidence interval for the total number of defective bulbs contained in the 1000 boxes shipped by this company during the past week. hint: note that sample size is 50 and population size is 1000. the question is asking for a confidence interval for a total.

we are 95% confident that the total number of defective bulb

contained in the 1000 boxes shipped by this company is between 195.5 and 644.5

Step-by-step explanation:

The sample size n = 50

The population size N= 1000

The number of defective in the sample is 21.

Sample mean x bar= 21/50

=0.42

The standard deviation (sigma) is = 0.81

Calculating the confidence interval

By checking the attached picture below.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.