A worker stands at the end of a production line for mint chocolate chip ice cream and uses warm water to melt the ice cream away from the chocolate. The amount of chocolate is then weighed. Each container should contain 4 ounces of chocolate. The results of a simple random sample of 12 containers is shown below. Assume the amount of chocolate added to the ice cream is normally distributed.

Mean 3.917

Variance 0.042

Observations 12

Hypothesized Mean 4

df 11

t Stat -1.42

P(T<=t) one-tail 0.092

t Critical one-tail 2.718

P(T<=t) two-tail 0.184

t Critical two-tail 3.106

Confidence Level (99%) 0.183

What condition is met for the use of a t distribution? The population is stated to have a normal distribution or The sample size is larger than 30?

What is the significance level?

What conclusion can be drawn from the data? Sufficient evidence does not exist to suggest that the mean amount of chocolate in the ice cream is not 4 ounces or Sufficient evidence does exist to suggest that the mean amount of chocolate in the ice cream is not 4 ounces?

What is the confidence interval for the amount of chocolate?

Does the confidence interval support the results of the hypothesized test?

Why? The hypothesized mean falls outside the bounds of the confidence interval or the hypothesized mean falls within the bounds of the confidence interval?