Question 1. a. Which of the following inference procedures is most appropriate t

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Question 1. a. Which of the following inference procedures is most appropriate to address the Research Question: Is there a relationship between second finger length and fourth finger length (from right hands) for male students? Your options are: * t-test for mean (one sample) * t confidence interval for mean (one sample) . large sample (approximate Z) test for proportion (one sample) . large sample (approximate Z) confidence interval for proportion (one sample) . t-test for difference in means (two samples) t confidence interval for difference in means (two samples) large sample (approximate Z) test for difference in proportions (two samples) . large sample (approximate Z) confidence interval for difference in proportions (two samples) t-test for slope t confidence interval for slope . one-way ANOViA * pooled variance t-test for difference in means (with Bonferroni correction) * Tukey's multiple pairwise comparisons (simply state your choice, 1 mark) b. Is it valid for you to use the procedure you selected in part a for our data? To fully answer this question, list each condition required for the inference procedure to be valid; . under each condition, specify whether it is valid or not; under each condition, provide a brief justification for your decision on its validity. Include any FR code(s) you used as part of your justification. Be sure to write your answers in the context of our study (i.e., use the vocabulary of our study in your response). (8 marks; "7 sentences +any R code(s))

Explanation / Answer

Here hypothesis for the test is,

H0 : There is no relationship between second finger length and fourth finger length for male student.

H1 : There is relationship between second finger length and fourth finger length for male student.

The test statistic follows t-distribution.

Test statistic = b / SEb = slope / standard error of estimate

This is same as T-test for slope.

Now we have to find P-value for taking decision.

P-value we can find in excel.

syntax :

=TDIST(x, deg_freedoms, tails)

where x is test statistic

deg_freedom = n-2

tails = 2

If p-value < alpha the result is significant otherwise viceversa.

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