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Question: question 1 production rates please show all working out a...

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Question 1​ Production Rates (Please Show all Working Out)

A manufacturing company wishes to find out whether the productivity of its workforce has increased now that they have a new machine. The factory examined the records for a random sample of 8 hours over the past month. The hourly production rates for these 8 hours were:

142 175 162 158 190 154 160 185 173 181

Suppose the production rate before the use of the new machine is 155 units per hour. Test at 5% if the new machine has increased workers’ productivity on average using both the:

(a) ​p-value approach, and

(b)​critical value approach.

Note: For part (a), you should use the “t-dist” function in excel.

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