1. Each of 5 infants was monitored during sleep during two 6-hour periods under

Question

1. Each of 5 infants was monitored during sleep during two 6-hour periods under one of two conditions: 1) sleeping on a regular mattress (control) and 2) sleeping on a waterbed. For each infant, whether he/she slept on a mattress or a waterbed first was randomly decided. The response variable was the number of interruptions in breathings per hour of sleep during the 6-hour period. The data are given below. Waterbed 0.89 0.77 0.00 0.65 0.88 Control1.36 1.66 0.11 1.44 1.63 1). This is a block design. What are the blocks? 2). Analyse this data set. Perform an F test to examine whether the treat- ment effect is statistically significant. Report your F test statistic and p-value. 3). Get a 95% confidence interval for the difference between the mean num- ber of interruptions on a mattress and on a waterbed for infants.

Explanation / Answer

H0: ?1^2 = ?2^2

H1: ?1^2 ? ?2^2

We would be using the below formula: -

S1^2 / S2^2

0.13667/0.41495

0.329

approx 0.33

p-value is 0.84649213

Waterbed Control 0.89 1.36 0.77 1.66 0 0.11 0.65 1.44 0.88 1.63 Var Var 0.13667 0.41495

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