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a quality control engineer is interested in the mean length of sheet insulation being cut automatically by machine. the desired length of the insulation is 12 feet. it is known that the standard deviation in the cutting length is 0.15 feet. a sample of 70 cut sheets yields a mean length of 12.14 feet. this sample will be used to obtain a 99% confidence interval for the mean length cut by machine. suppose the engineer had decided to estimate the mean length to within 0.03 with 99% confidence. then the sample size would be . (for this question, use a z-value to 2 decimal places.)

Sagot :

A first-class manage engineer is interested by suggest duration of sheet insulation being reduce automatically the Length of programme language is 2.649.

  • The preferred duration of the insulation is 12 feet.Sample wellknown deviation (s)=0.15 feet.Sample size (n)=70.
  • Sample suggest (¯x)=12.14;Confidence Interval (C.I)=99%;
  • There is want to locate the vital fee;
  • Population wellknown deviation isn't recognized therefore, t-take a look at vital can be used to gain the self belief c programming language as proven below.
  • Confidence c programming language formula:
  • Confidence Interval=sample mean± criticalvalue×standard error = ¯x±tα2×s√n
  • where,pattern suggest =¯x,
  • well known deviation =s,
  • pattern size = n,
  • Computing the vital fee:
  • First decide the alpha -degree of importance. Here in our case ;
  • For tailed-take a look at step-1 ought to be divided with the aid of using 2. So, -degree of importance can be used for every tail.
  • Determine the ranges of freedom for t-take a look at statistic:
  • df=(n−1)=70−1=69.
  • Now, searching from t-distribution desk and we get the vital.
  • Therefore, the vital fee to apply in acquiring the 99% self belief c programming language is 2.649.A first-class manage engineer is interested by suggest duration of sheet insulation being reduce automatically.
  • The preferred duration of the insulation is 12 feet.Sample wellknown deviation (s)=0.15 feet.Sample size (n)=70.Sample suggest (¯x)=12.14:
  • pattern suggest =¯x, wellknown deviation =s,
  • pattern size = n,Computing the vital fee
  • First decide the alpha -degree of importance.
  • For tailed-take a look at step-1 ought to be divided with the aid of using 2. So, -degree of importance can be used for every tail.
  • Determine the ranges of freedom for t-take a look at statistic:
  • df=(n−1)=70−1=69
  • Now, searching from t-distribution desk and we get the vital fee.
  • Therefore, the vital fee to apply in acquiring the 99% self belief c programming language is 2.649.

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