A large online retailer claims that 85% of all orders are shipped within 24 hours of being placed. A consumer group placed 150 orders of different items at different times of day; 128 orders were shipped within 24 hours.

1. Which of the following normality conditions are met? 10% Condition, Success/Failure Condition, and/or Randomization Condition?

2. Compute the sample proportion of items shipped within 24 hours.

3. Check whether the sample is significantly different from the claim by finding the z-value.

4. Based on the answer to the previous item, do we have the reason to believe that the claim is true?

5. The sampling distribution of sample means is normally distributed only for populations that are normally distributed--true or false?

6. If the sample is at least 25, then normality of the population doesn't need to be verified in order to use the central limit theorem--true or false?

7. The standard deviation of the sampling distribution of sample means is equal to / where is the population standard deviation and is the sample size--true or false?