squeezyys
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The weight of a bag of Brand A cookies is labeled as 3 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 3.05 ounces and a standard deviation of 0.06 ounce. Select the number to complete the sentence. According to the specifications, approximately percent of the bags weigh 3.00 ounces or more​

Sagot :

Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more​.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3.05, \sigma = 0.06[/tex]

The proportion of the bags that weigh 3.00 ounces or more​ is one subtracted by the p-value of Z when X = 3, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 3.05}{0.06}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967 = 79.67%.

79.67% of the bags weigh 3.00 ounces or more​.

More can be learned about the normal distribution at https://brainly.com/question/27643290

#SPJ1

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.