ad 85% 2:43 PM Let us return to the calf weight question. Now our aim is to inve

Question

ad 85% 2:43 PM Let us return to the calf weight question. Now our aim is to investigate whether calf weights have DECREASED from 1/2 a week after birth to one week after birth ie. week 1 calves weigh LESS than week 0.5 calves). Let denote the mean weight at week 0.5 and be the mean weight at week 1, The results of a two-sided test are given below (don't be fooled this may not be the hypothesis of interest!) -u. mean of the paired difference between wt 0.5 and w11 OBSERVE that there is a DROP in the sample mean weights from week 0.5 and week 1). What is the hypothesis of interest, do the test at the 5% level. Using the testing outout below construct a 95% confidence interval for the mean difference Hypoth§is test results: -Ha maan of the paired ditference between wt 0.5 and W1 Differenc Sarmple | Std. Err. | DFI T-Stat IP-slue 0.0446 Diff. 1.0909091 D OESERVE that there is a DROP in the sample mean weights from week 0.5 and week 1). You will need to use a t- distribution with 43 degrees of freedom, the critical values are tabulated below

Explanation / Answer

QUestion 1.

New hypothesisi of one tailed test

H0 : 1 = 2

Ha : 1 < 2

Here nwe p - value would be half of p - value of earlier hypothesis test

p- value = 0.0466/2 = 0.0233 = 2.33%

Here the test is two tailed test. So p - value is less than 0.05 so we shall reject the null Hypothesis in this case. Option C is correct here.

Question 2

95% confidence interval = (x1 - x2) +- t43,0.05 se0

= 1.0909 + 2.017 * 0.5323 [ tcriticla = t43,0.05 = 2.017 = 2.02

= (0.0173, 2.1645)

It is not visible which option is correct by the answer is given below.

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