Answer :
The sample mean is 60.6067g. To determine if the new process results in a different mean weight, a hypothesis test and p-value calculation can be conducted.
The sample mean can be calculated by summing up all the weights of the random sample and dividing it by the sample size. In this case, the sample mean is calculated as
(60.3 + 59.8 + 62.5 + 60.8 + 61.6 + 59.9 + 61.2 + 59.4 + 58.9 + 62.1 + 60.7 + 59.1 + 60.2 + 63.1 + 61.0) / 15 = 60.6067g.
To determine if the new process results in a different mean weight, we need to conduct a hypothesis test to compare the sample mean with the population mean.
The null hypothesis is that there is no difference in the mean weights, and the alternative hypothesis is that there is a difference in the mean weights.
We can then use t-test or z-test to calculate the p-value of the test, which represents the probability of observing a result as extreme as the sample mean, assuming the null hypothesis is true.
The p-value can be calculated using statistical software or online calculators. Given the sample mean and population parameters, the p-value of the test can be determined.
This p-value can then be compared to a pre-determined significance level (usually 0.05) to determine if there is enough evidence to reject the null hypothesis and conclude that the new process does result in a different mean weight.
To know more about hypothesis test, visit:
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