A company manufactures U-100 insulin syringes designed to contain 1 milliliter (

Question

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 mean µ and standard deviation = 0.05 ml. We randomly select 8 syringes and measure the volume of solution in each. The results of these 8 measurements (all in ml) are:

1.05

1.04

1.06

1.01

0.98

0.98

1.03

0.99

Do these data give evidence that the true population mean solution volume is not 1 ml?

Using a significance level of 0.05, you conclude that

1.05

1.04

1.06

1.01

0.98

0.98

1.03

0.99

Explanation / Answer

1.05 1.04 Ho : miu = 1 1.06 Ha : miu is not 1 1.01 0.98 Z = ( 1.0175 - 1 ) / ( 0.05 / srqt 8 ) 0.98 Z = 0.99 1.03 0.99 p value : 0.1611 x-bar 1.0175 SD 0.05 since p value is greater than apha n 8 alpha = 0.05 we fail to reject Ho the data does not have enough evidence to support that he true population mean solution volume is not 1 ml

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