The mean and the standard deviation of the sample of 40 trash bag breaking strengths in Table 1.9 are x̅ = 50.575 and s = 1.6438. Calculate a t-based 95 percent confidence interval for μ, the mean of the breaking strengths of all possible trash bags of the new type. Also, find this interval using the Excel output in Figure 8.14. Are we 95 percent confident that μ is at least 50 pounds?

Figure 1.4

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STATISTICS Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewiness Range Minimum Maximum Sum Count Confidence Level(95.0%10525697 50.575 0.2599 50.65 50.9 1.643753 2.701923 0.2151 0.05493 7.2 46.8 54 2023 40