The amount of tea leaves in a can from a particular production line is normally distributed with µ= 110 grams and o = 25 grams. A sample of 25 cans is to be selected. a. What are the mean and standard error for the sampling distribution of sample means? b. What is the probability that the sample mean will be between 100 and 120 grams? c. What is the probability that the sample mean will be less than 100 grams? d. What is the probability that the sample mean will be greater than 100 grams? e. So, the middle 70% of all sample means will fall between what two values?

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1. The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected.

   a. What are the mean and standard error for the sampling distribution of sample means?
   
   b. What is the probability that the sample mean will be between 100 and 120 grams?
   
   c. What is the probability that the sample mean will be less than 100 grams?
   
   d. What is the probability that the sample mean will be greater than 100 grams?
   
   e. So, the middle 70% of all sample means will fall between what two values?
Transcribed Image Text:1. The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected. a. What are the mean and standard error for the sampling distribution of sample means? b. What is the probability that the sample mean will be between 100 and 120 grams? c. What is the probability that the sample mean will be less than 100 grams? d. What is the probability that the sample mean will be greater than 100 grams? e. So, the middle 70% of all sample means will fall between what two values?
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