Can someone please explain how to solve for these questions 6. (20 points) Test

Question

Can someone please explain how to solve for these questions

6. (20 points) Test on Mean of Normal, Variance Unknown potion clf fr the wall tick of iwrliter polycarbonate botties to average 4.0 Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer samples 7 two-liter polycarbonate bottles and measures the wall thickness in mils. The following results were obtained. 4.065 3.967 4.028 4.008 4.195 4.057 4010 The summary statistics are: Descriptive Statistics: thickness VariableNN Nean SE Mean StDew Mininu thickness 704.04710.0276 0.07303.9670 4.0080 4.0280 4.065 variable Max1mum 01 Redian thickness 4.2950

Explanation / Answer

d) This is an one sided test because alternative hypothesis include > inequality.

Here we suppose that the test statistic t = 3

degrees of freedom( df ) = n - 1 = 7 - 1 = 6

So find the two values corresponding to the df = 6 such that 3 is lies within that values.

From t table we get 2.447 and 3.143

Now write the one tail probabilities corresponding to these values

so we get 0.01 corresponding to 3.143 and o.025 corresponding 2.447

So correct option is (C)

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