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In: Statistics and Probability

The Packaging Company produces boxes out of cardboard and has a specified weight of 8 oz....

  1. The Packaging Company produces boxes out of cardboard and has a specified weight of 8 oz. A random sample of 20 boxes cans yielded a sample mean of 7.5 oz. Given the data's distribution is normally distributed and standard deviation is 1.4 oz, for a 95% confidence interval, what is the critical statistic?
  2. A Chip Company claims that there is 32 oz in every bag of chips with a specified population standard deviation of 1.5. A sample of 40 bags where weighted with an sample mean of 31.4. A consumer feels that this less than what the company claims.

Which of the following gives the alternative hypothesis?

A) H1: μ < 32

B) H1: μ > 32

C) H1: μ = 32

D) H1: μ ≠ 32

  1. A Chip Company claims that there is 32 oz in every bag of chips with a specified population standard deviation of 1.5. A sample of 40 bags where weighted with an sample mean of 31.4. A consumer feels that this less than what the company claims. Compute the test statistic accurate to two decimals.
  2. A Chip Company claims that there is 32 oz in every bag of chips with a specified population standard deviation of 1.5. A sample of 40 bags where weighted with an sample mean of 31.4. A consumer feels that this less than what the company claims.

Which of the following gives the null hypothesis?

A) H0: μ < 32

B) H0: μ > 32

C) H0: μ = 32

D) H0: μ ≠ 32

  1. HT Mean: A Packaging Company produces boxes out of cardboard and has a specified weight of 35 oz. It is known that the weight of a box is normally distributed with standard deviation 1.3 oz. A random sample of 36 boxes yielded a sample mean of 35.5 oz. At 5% level of significance, test the claim that the mean weight of a box is 35 oz or is there significant evidence that the mean weight is greater than 35 oz. Calculate the test statistic.

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