You are an Industrial Engineer working for a Molding Company which supplies blow

Question

You are an Industrial Engineer working for a Molding Company which supplies blow molded plastic bottles to a filtered water bottler. Your boss has just been told by the Finance Department that the raw material costs seem to be rising. You are told to investigate and in discussing the situation with the machine operators, they have the opinion that the resin consumed by one machine in particular, as measured by weight in grams, may be higher than the historical average of 488 grams. You are told to gather a small sample of size 10 from the machine, which runs 24 hours per day, 365 days per year. We will assume that the sample comes from a normally distributed 2. and will assume = 0.05 and = 0.20. We wish to be able to detect a 2 population gram shift. Machine 1B 490.93 490.76 488.23 488.79 492.41 484.88 489.89 489.47 491.55 490.64

Explanation / Answer

In this case, we have to test whether mean of Machine B is greater than 488

so the hypothesis is given by

Ho: The mean average of machine B =488

Vs H1: the mean average of machine B is greater than the mean 488

For this, we use one sample t-test

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

mech_B

10

489.7550

2.12307

.67137

One-Sample Test

Test Value = 488                                    

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

mech_B

2.614

9

.028

1.75500

.2362

3.2738

In this case, p-value is .028, which is less than .05

so we may reject the null hypothesis

so we conclude that mean of machine B is greater than the mean of 488

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

mech_B

10

489.7550

2.12307

.67137

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