Types of Error: D In a certain population, the mean mu is 42. There are one thousand statisticians, and none of them know what mu is. Each statistician takes a simple random sample from this...

Types of Error: D

In a certain population, the mean mu is 42. There are one thousand statisticians, and none of them know what mu is. Each statistician takes a simple random sample from this population, and each one uses his/her sample to perform the following two-sided test:

H0: mu = 42

Ha: mu != 42

The plan is to reject the Null Hypothesis is the P-value is less than 0.05.  How many of the statisticians will commit a Type-I error?