The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a = 0.1, can you conclude that the average production has increased? Source: The Old Farmer's Almanac. a. State the hypothesis and identify the claim. Ho: 3000 and H₁: 3000 b. Find the critical value(s) from the appropriate table. Since α = 0.1 and the test is a tailed test, the critical value is z = c. Compute the test value. X-μ Z= o/√n d. Make the decision to reject or not reject the null hypothesis. Since the test value is inside/ outside the critical region, the decision is to reject/ not reject the null hypothesis. e. Summarize the results.

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The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food
has been developed and is tested on 60 individual plots of land. The mean yield with the
new plant food is 3120 pounds of peanuts per acre, and the population standard deviation
is 578 pounds. At a = 0.1, can you conclude that the average production has increased?
Source: The Old Farmer's Almanac.
a. State the hypothesis and identify the claim.
Ho:μ 3000 and H₁:µ ■ 3000
b. Find the critical value(s) from the appropriate table.
Since α = 0.1 and the test is a
tailed test, the critical value
is z =
c. Compute the test value.
Z =
x-μ
o/√n
d. Make the decision to reject or not reject the null hypothesis.
Since the test value
is inside/ outside the critical region, the
decision is to reject/ not reject the null hypothesis.
e. Summarize the results.
There is enough/ not enough evidence to support the claim that the average
production of peanuts has increased.
Transcribed Image Text:The average production of peanuts in Virginia is 3000 pounds per acre. A new plant food has been developed and is tested on 60 individual plots of land. The mean yield with the new plant food is 3120 pounds of peanuts per acre, and the population standard deviation is 578 pounds. At a = 0.1, can you conclude that the average production has increased? Source: The Old Farmer's Almanac. a. State the hypothesis and identify the claim. Ho:μ 3000 and H₁:µ ■ 3000 b. Find the critical value(s) from the appropriate table. Since α = 0.1 and the test is a tailed test, the critical value is z = c. Compute the test value. Z = x-μ o/√n d. Make the decision to reject or not reject the null hypothesis. Since the test value is inside/ outside the critical region, the decision is to reject/ not reject the null hypothesis. e. Summarize the results. There is enough/ not enough evidence to support the claim that the average production of peanuts has increased.
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