# a quality control specialist for a restaurant chain takes a random sample of size 10 to check the amount of soda served in the 16

a quality control specialist for a restaurant chain takes a random sample of size 10 to check the amount of soda served in the 16 oz. serving size. the sample mean is 13.90 with a sample standard deviation of 1.52. assume the underlying population is normally distributed. we wish to construct a 95% confidence interval for the true population mean for the amount of soda served. what is the error bound? (round your answer to two decimal places.)

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1. The error bound is [12.96, 14.84] when standard deviation is 1.52 and confidence interval is 95%.

### What is confidence interval?

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate’s level of uncertainty is described by a confidence interval, which is a range of numbers. Being confident is having a realistic, comfortable sense of self-assurance in both your talents and judgment. Feeling superior to others is not a prerequisite for confidence. It’s a subdued inner conviction that you can.
Here,
n=10
mean=13.9
standard deviation=1.52
confidence interval=95%
The standard error SE=s/√n
=0.48
The marginal error ME= SE*(z∝/2)
=1.96*0.48
=0.942
Lower bound=12.96
Upper bound=14.84
When the standard deviation is 1.52 and the confidence interval is 95%, the error limit is [12.96, 14.84].
To know more about confidence interval,
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