Arandom sample of 10 chocolate energy bars of a certain brand has, on average, 230 calories per bar, with a standard deviation of 15 calories. construct a 99% confidence interval for the true mean calorie content of this brand of energy bar. assume that the distribution of the calorie content is approximately normal.

214.389 to 245.611 calories

Step-by-step explanation:

A confidence interval can be constructed as follows:

Lower bound (L):

Upper bound (U):

Where 'X' is the sample mean, 's' is the sample standard deviation, 'n' is the sample size, and Z is the x-score associated with the confidence interval.

In this problem

X = 230; S= 15; n=10; and for a 99% confidence interval, z = 3.291

The upper and lower bounds are:

The confidence interval is 214.389 to 245.611 calories.

step-by-step explanation:

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