The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed. What are the correct hypotheses?

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Answer:

[tex]\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90[/tex]

Step-by-step explanation:

Given claim : From the time shoots are planted 90 days on average are required to obtain the first berry.

. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed.

As we know that the null hypotheses shows there is no statistical difference between the groups but the alternative hypothesis is opposite to it, it shows there is difference.

Thus , the correct hypotheses will be :-

[tex]\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90[/tex]

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