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The time (in number of days) until maturity of a certain variety of tomato plant is...

The time (in number of days) until maturity of a certain variety of tomato plant is normally distributed with mean mu and standard deviation sigma = 2.4. I select a simple random sample of 6 plants of this variety and measure the time until maturity. The sample yields sample mean, 62.7. You read on the package of seeds that these tomatoes reach maturity, on average, in 61 days. Use significance test to see if your seeds are reaching maturity later than expected, which might indicate that your package of seeds is too old. Use alpha=0.01. Calculate the test statistic.

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