An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 15 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 15 differences (Variety A - Variety B) give = 3.29 and s= 3.69. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol , e.g. mu> 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Ho: Ha: (b) Find the test statistic, t =

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Hello! Could someone help me with this problem please and explain the formula to use? I don't understand it and I am lost. Thank you so much!

**Text Transcription:**

An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 15 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 15 differences (Variety A - Variety B) give \(\bar{x} = 3.29\) and \(s = 3.69\). Does this sample provide evidence that Variety A had a higher yield than Variety B?

(a) State the null and alternative hypotheses: (Type "mu" for the symbol \(\mu\), e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)

\(H_0\): [ ]

\(H_a\): [ ]

(b) Find the test statistic, \(t =\) [ ]
Transcribed Image Text:**Text Transcription:** An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 15 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 15 differences (Variety A - Variety B) give \(\bar{x} = 3.29\) and \(s = 3.69\). Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol \(\mu\), e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) \(H_0\): [ ] \(H_a\): [ ] (b) Find the test statistic, \(t =\) [ ]
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