A company manufactures U-100 insulin syringes designed to contain 1 milliliter (ml) of a solution containing insulin. The actual distribution of solution volumes in these syringes is Normal, with meanμ and standard deviation σ= 0.05 ml. We randomly select 8 syringes and measure the volume of solution in each, and ask if the resulting data give evidence that the true population mean solution volume is not 1 ml. Here is the software output from a one-sample z test on the data collected:
Variable N Mean StDev SE Mean 95% CI Z P
Volumes 8 1.0175 0.0320 0.0177 (0.9829, 1.0521) 0.99 0.322
Using a significance level of 0.05, what should you conclude?
A) The true population mean volume is proven to be 1 ml.
B) There is significant evidence that the true population mean volume is not 1 ml.
C) There is significant evidence that the true population mean volume is 1 ml.
D) There is not enough evidence to say that the true population mean volume is not 1 ml.
Correct Answer:
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