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The following data are the viscosity measurements for a chemical product observed every 5 minutes. Construct a 95% confidence interval on the population mean . How many viscosity measurements are needed to ensure 95% confidence interval that has a length at most of 1.0? Include your solutions. 47.9 48.6 48.0 48.1 43.0 43.2 47.9 48.8 47.5 48.0 42.9 43.6 48.6 48.1 48.6 48.3 43.6 43.2 48.0 48.3 48.0 43.2 43.3 43.5 48.4 47.2 47.9 43.0 43.0 43.0 48.1 48.9 48.3 43.5 42.8 48.0 48.6 48.5 43.1 43.1 O a. 45.41 5 x 5 46.97. Sample size need to be increased to 96 viscosity measurements to ensure 95% confidence interval length at most 1.0 O b. 45.41 S u S 46.97. Sample size need to be increased to 97 viscosity measurements to ensure 95% confidence interval length at most 1.0 O c. Confidence interval cannot be determined as o is unknown. But because the sample size is large, we could use the sample standard deviation as a point estimate of o. Increasing the sample size while keeping the standard deviation constant will decrease the interval length O d. NONE