The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? Type 1 Type 2 2070 2074 1962 2049 2438 2466 2220 2081 1978 2305 2195 1537 D 2029 2033 2104 1458 In this example, u. is the mean value of the differences d for the population of all pairs of data. where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield. The 95% confidence interval is

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The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe’s claim that type 1 seed is better than type 2 seed?

Type 1: 2070, 2074, 2049, 2438, 2220, 2081, 2305, 1537
Type 2: 2029, 1962, 2033, 2466, 2104, 1978, 2195, 1458

In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield.

The 95% confidence interval is [ ] < μd < [ ]
(Round to two decimal places as needed.)

What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed?

A. Because the confidence interval includes zero, there is sufficient evidence to support farmer Joe's claim.

B. Because the confidence interval only includes positive values and does not include zero, there is not sufficient evidence to support farmer Joe's claim.

C. Because the confidence interval only includes positive values and does not include zero, there is sufficient evidence to support farmer Joe's claim.

D. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.
Transcribed Image Text:The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe’s claim that type 1 seed is better than type 2 seed? Type 1: 2070, 2074, 2049, 2438, 2220, 2081, 2305, 1537 Type 2: 2029, 1962, 2033, 2466, 2104, 1978, 2195, 1458 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield. The 95% confidence interval is [ ] < μd < [ ] (Round to two decimal places as needed.) What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? A. Because the confidence interval includes zero, there is sufficient evidence to support farmer Joe's claim. B. Because the confidence interval only includes positive values and does not include zero, there is not sufficient evidence to support farmer Joe's claim. C. Because the confidence interval only includes positive values and does not include zero, there is sufficient evidence to support farmer Joe's claim. D. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.
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