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A North American company manufactures rivets for use in car production. A sample of forty rivets from the production line had mean 6.803 and standard deviation 0.275 (both in 1/100 of an inch). On communicating these results to the company headquarters in Europe, a request is made for the summary statistics to be converted into millimeters. Given that one inch is 2.538 centimeters, find the mean and standard deviation of the sample in millimeters. What is the mean in millimeters

Respuesta :

Chrisnando

Answer:

Mean = 1.73 mm

Standard deviation = 0.0698 mm

Step-by-step explanation:

Given:

Sample size, n = 40

Mean, u = 6.803

Standard deviation = 0.275

a) Given that one inch is 2.538 centimeters, to find the mean in millimeters we have:

[tex] 6.803 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 6.803 * \frac{1}{100} * 2.538 = 0.173 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.173 * 10 = 1.73 mm

b) Given that one inch is 2.538 centimeters, to find the standard deviation in millimeters we have:

[tex] 0.275 * \frac{1}{100} [/tex]

Converting to cm, we have:

[tex] 0.275 * \frac{1}{100} * 2.538 = 0.00698 cm[/tex]

Converting to mm, we know 1cm = 10 mm,

0.00698 * 10 = 0.0698mm

lhmarianateixeira

In this exercise we have to use the knowledge of statistics to calculate the car production, so we have to:

  • Mean: [tex]1.73mm[/tex]
  • Standard deviation: [tex]0.0698 mm[/tex]

Given the following information, we have:

  • Sample size n = 40
  • Mean u = 6.803
  • Standard deviation = 0.275

A) Find the convertion to the mean in milimeters, will be:

[tex]6.803*(1/100)*2.538=0.173 cm\\=1.73 mm[/tex]

B) Find the convertion to the stardard deviation in milimeters, will be:

[tex]0.275*(1/100)*2.538=0.00698\\=0.0698 mm[/tex]

See more about statistics at brainly.com/question/10951564

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