Question

The State Department of Agriculture (SDA) requires that the average “berry solids” content for strawberry preserves be at least 65% (if the berry solids content is less than 65%, the product cannot be labeled as a “preserve”). The SDA enforces this requirement by randomly sampling eight jars from each production run for all manufacturers of strawberry (and other) preserves. The SDA samples eight jars of strawberry preserves from a production run and measures the “berry solids” content for each jar.

The following results are obtained: {65.4, 64.9, 65.2, 65.7, 65.0, 65.7, 65.3, 64.7}

a) use this data to compute a lower one-sided 95% confidence interval for the mean “Berry solids” content of all jars of strawberry preserves in the production run. Assume that “berry solids” contents are normally distributed

b)  On the basis of this interval, the SDA can conclude that the mean “berry solids” content of all jars of strawberry preserves is at least 65 percent”.

True or False?

Answer 1