States are normally distributed. Shelia, a preschool Suppose the preliteracy sco

Question

States are normally distributed. Shelia, a preschool Suppose the preliteracy scores of three-year-old students in the United teacher, wants to estimate the mean score on preliteracy tests for the population of three-year-olds. She draws a simple random sample of 20 students from her.class of three-year-olds and records their preljiteracy scores (in points). 80,81,89,90,91,91,91,94,95,95,95, 101, 101, 102, 102, 104, 104, 108, 109, 111 Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Calculate the sample mean (T), sample standard deviation (5), and standard error (SE) of the students' scores. Round your answers to four decimal places. -= | 967 Determine the t-critical value (t) and margin of error (m) for a 90% confidence interval. Round your answers to three s = 11 8.664 SE= 1.988 decimal places. I 1.729 m = 1.3.417

Explanation / Answer

Solution:-

=> mean = 96.7

=> sd = 8.6639

=> SE = 1.9373

=> t = 1.729

--> df = n-1 = 20 - 1 = 19

=> m = 3.3496 (rounded)

---> t * SE = 1.729*1.9373 =  3.34959

=> lower limit = 93.3504 upper limit =   100.0496

----> ( 96.7 - 3.3496 , 96.7 + 3.3496 )

=> option A.

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