Question

Hello, may someone please help me out with.. a through d? Thank you so much greatly appreciated.

3. An eugiser wishes to prove that the mean weight of metal comnets rodtscel by a proces is greater than 4.5 oz. A random sample of 10 components produces the data: 4.5, 5.6, 4.9 3.8, 4.1, 4.3, 4.4, 4.7, 5.0, 4.6 (a) Make a dot plot of the weights. Is it reasonable to assume that the weights have a normal/bell-shaped distribution? Note: There are more adyanced methods such as the quantile-quantile (Q-Q) plot or hypothesis tests to verify. the normality assumption. We will use these techniques in higher-level courses. We herein use a dot plot, which is also a useful approach. If there is no extrcme obscrvation, our assumption about normality is reasonable and thus the hypothesis test can be proceeded. Important: It is worth mentioning that the normal distribution assumption is required about the sampling distribution of the sample mean Y, not about the original population. (b) Find a point estimate of the true mean weight of metal components. (c) Construct a 95% CI for the true mcan weight, and interpret it in the context of the problem (d) Test the engincer's hypothesis using a 0.05 level of significance showing all five steps

Answer 1

a) Here dot plot is:

4 ◆ weight of metal component 0 10 15

here the sample data is very small i.e. n = 10 . so we cannot cannot say that weights have normal distribution on the basis of this sample.

Page No Date u mean nigh (4.2293,4.9507) = Under ul_0 on nte te Aie