A researcher wishes to see if the average weights of newborn male infants are higher than the average weights of newborn female infants. She selects a random sample of 12 male infants and
finds the mean weight is 7.70 pounds. She selects a random sample of 9 female infants and finds
that the mean Leight is 7.80 pounds. Assume that the variables are normally distributed and the
population standard deviation is 0.5 for each group.
Using alpha=0.05 to test if the mean weight of the males is higher than the mean weight of the
females, the pvalue of the test is:

The  p-value is  

Step-by-step explanation:

From the question we are told that    

    The  sample size of male infant is  

     The  sample size of female infant is

     The sample mean of male infant is  

      The sample mean of female infant is  

     The population standard deviation is  

       The significance level is  

The null hypothesis is  

The  alternative hypothesis is  

The  test statistics is mathematically represented as

=>          

=>        

From the z-table  the p-value is  obtained, the value is  

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