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I need to know the steps (NOT EXCEL) formulas

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Question

I need to know the steps (NOT EXCEL) formulas. I have a test coming up and need to know how to do formulas like

this.

For a sample of 22 at 10% level of significance, what is the critical t value for a null hypothesis, H0: µ ≤ 75?The mean weight of cashews snacks is 45 grams. The manufacturers is interested to know if the packaging equipment has become misaligned and the weight of cashew packages is not correct. Test the assumption at the α = .01 level that there has been no change in the mean weight. The alternative hypothesis is that there has been a change. 15 packs of cashews were picked at random and weighed. The weights in grams are, 44, 40, 43, 42, 41, 44, 43, 42, 46, 47, 43, 42, 41, 46, 43. Has there been a statistically significant change in the mean weight of the cashews packages? You need to compute t value

 
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