You collected 10 years of daily data. Based on that you find first trading day of...

You collected 10 years of daily data. Based on that you find first trading day of each month 's average return is 50 bps. Mean return for all days is 4 bps. Stdev across all days is 100 bps. Stdev for first day of each month only is 125 bps.

a. What is the mean return for trading days other than first day of the month?

b. the difference in sample mean for first day vs. other days. This is your point estimate for the
difference b/w two types of days. What is that point estimate? What is stdev for the point estimate?

c. What is the probability of observing the point estimate above under the null hypothesis that the true
difference is zero (this is known as p-value)?

d. What is the 95% Confidence interval for the point estimate? At 95% confidence, should you reject
or accept that first days’ mean return is not different from other days of the month?

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