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A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You want to

  1. A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You want to determine if the mean of all account balancesissignificantlygreaterthan $1,150. Assume the population ofaccount balances is normally distributed. Compute the p-value for this test.
  2. The U.S. Bureau of Labor Statistics reports that 11% of U.S. workers belong to unions. Suppose a sample of 369U.S. workers is collected in 2014 to determine whether union efforts to organize haveincreasedunion membership.The sample results show that 50of the workers belonged to unions. Compute the test statistics.
  3. The U.S. Bureau of Labor Statistics reports that 10% of U.S. workers belong to unions. Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize haveincreasedunion membership.The sample results show that 42of the workers belonged to unions.

Compute the p-value.

Will you please explain the calculations steps thank you

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