kindly provide working MEER HUSSAIN 22307024 10. A quality control experiment is
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MEER HUSSAIN 22307024 10. A quality control experiment is to be done on a machine that fills tubes with tooth- paste. Its specifications require that it fill tubes with 4.7oz. A random sample of 40 tubes filled by the machine is taken and each tube is weighed. The resulting data are below, with the weight of the tube already having been subtracted from each. Perform a hypothesis test at the 90% confidence level to determine the machine is performing according to specifications. 4.66 4.61 4.71 4.63 4.70 4.62 4.63 4.61 4.70 4.56 4.60 4.66 4.68 4.57 4.67 4.72 4.67 4.64 4.66 4.75 4.69 4.64 4.67 4.65 4.69 4.65 4.75 4.53 4.57 4.74 4.68 4.67 4.66 4.68 4.64 4.65 4.64 4.80 4.71 4.69Explanation / Answer
Formulating the null and alternative hypotheses,
Ho: u = 4.7
Ha: u =/ 4.7
As we can see, this is a two tailed test.
Thus, getting the critical z, as alpha = 0.1 ,
alpha/2 = 0.05
zcrit = +/- 1.644853627
Getting the test statistic, as
X = sample mean = 4.661
uo = hypothesized mean = 4.7
n = sample size = 40
s = standard deviation = 0.054103415
Thus, z = (X - uo) * sqrt(n) / s = -4.559003506
Also, the p value is
p = 5.13969E-06
As |z| > 1.645, and P < 0.10, we REJECT THE NULL HYPOTHESIS.
Hence, there is significant evidence at 0.10 level that the machine is performing according to specification, that is, the mean is not 4.7 oz. [CONCLUSION
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