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.

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.