Use the information below to answer Questions # 47 - 52. A group of third grade students is taught using a new curriculum. A control group of third grade students is taught using the old curriculum. The reading test scores for the two groups is shown in the back-to-back stem-and-leaf plot below. At a = 0.01, is there enough evidence to support the claim that the new method of teaching reading produces higher reading test scores than the old method does? Assume the population variances are equal. Assume the samples are random and independent, and assume the populations are normally distributed. Old Curriculum: 30, 48, 49, 50, 51, 52, 54, 55, 56, 56, 59, 61, 62, 64, 64, 65, 66, 66, 69 New Curriculum: 41, 56, 57, 61, 62, 63, 64, 64, 65, 66, 66, 66, 67, 67, 69, 70, 70, 71, 72, 74, 75, 77, 78, 84, 88 Find the standardized test statistic. Round to three decimal places as needed.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.