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3. Problem 3: The tensile strength for a type of wire is normally distributed with unknown...
The tensile strength, X, of a tungsten component is normally distributed with a mean of 546...
The tensile strength, X, of a tungsten component is normally distributed with a mean of 546 grams per square centimeter (gscm) and a standard deviation of 50 gscm. a)Calculate the variance of X/50 1 b) Calculate the variance of 5X 3. 6250 c) Calculate the probability that the tensile strength of a tungsten component is at least 500 gscm? .8212 d) What is the probability that X is within 1 standard deviation of its mean? 6827 e) What is the...
Q7. The tensile strength of a certain metal component is normally distributed with a mean of...
Q7. The tensile strength of a certain metal component is normally distributed with a mean of 10000 kilometers per square centimeter and a standard deviation of 100 kilograms per square centimeter. (a) What proportion of these components are less than 10020 kilograms per square centimeter in tensile (b) What proportion of these components are between 9950 and 10100 kilograms per square centimeter in (c) If specifications require that all components have tensile strength between 9900 and k kilograms per strength?...
The tensile strength Y of a certain material is such that Y= where X is normally...
The tensile strength Y of a certain material is such that
Y=
where X is normally distributed with a mean of
=10 and a variance of
=1 (Y is said to follow a log-normal distribution. Compute each of
the following:
a. P(Y<7,000) [hint: (lnY-)/~N(0,1)]
b. P(10,000<Y<20,000)
c. P(Y>15,000)
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean...
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Let X = tensile strength of the synthetic fiber from a fiber specimen used in carpet manufacturing (in psi). Suppose you randomly pick a sample of n = 36 fiber specimens and perform tensile testing on them. (round 5 decimal places) a.) For n = 36 fiber specimens, what's the probability that the average tensile strength of all...
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean...
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Suppose we measure the sample mean for n independent samples How is the variance of the sample mean changed when the sample size is increased from n-9 to n 36? What does this imply about the relationship between sample size and our estimate of the mean (sample mean here)?
The tensile strength in MPa (megapascals) measured for a random sample of 20 pieces of die-cast...
The tensile strength in MPa (megapascals) measured for a random sample of 20 pieces of die-cast aluminium is displayed in the following stem-and-leaf plot: 17 007 leaf unit = 1 18 3 19 47 20 125 21 22 23 23 04448 24 014 25 26 2 The sample mean and standard deviation are: y = 215.05 s=27.19225 Assuming that the tensile strength measurements are Normally distributed, what is the width (upper limit minus lower limit) of the 90% confidence interval...
The height that a certain type of plant reaches a month after being planted is normally...
The height that a certain type of plant reaches a month after being planted is normally distributed with a mean of 10cm and a standard deviation of 2cm. (a) For a randomly selected plant, what is the probability that its height is (i) more than 13cm? (5 marks) (ii) less than 8cm? (5 marks) (b) A random sample of 10 plants is taken. (i) What is the expected value and standard error of Xbar , the mean height of these...
Assume that a simple random sample has been selected from a normally distributed population and test...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. 21) A large software company gives job applicants a test of programming ability and the mean 21) for that test has been 160...
Assume that shyness, measured on a 1 to 10 scale, is normally distributed in a population....
Assume that shyness, measured on a 1 to 10 scale, is normally distributed in a population. A statistician would guess that the shyness level of 10 randomly selected people is: A. one standard deviation above the mean B. the population mean minus n. C. the mean of the population. D. one standard deviation below the mean If r = –.69, SX = 1.08, and SY = 6.98, what is the slope? A. -0.11 B. 0.11 C. -4.46 D. 10.93 A...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p=231 days and standard deviation o = 12 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 227 days? The probability that a randomly selected pregnancy lasts less than 227 days is approximately (Round to four decimal places as needed) Interpret this probability. Select the correct choice below and fill in the answer...
The tensile strength, X, of a tungsten component is normally distributed with a mean of 546 grams per square centimeter (gscm) and a standard deviation of 50 gscm. a)Calculate the variance of X/50 1 b) Calculate the variance of 5X 3. 6250 c) Calculate the probability that the tensile strength of a tungsten component is at least 500 gscm? .8212 d) What is the probability that X is within 1 standard deviation of its mean? 6827 e) What is the...
Q7. The tensile strength of a certain metal component is normally distributed with a mean of 10000 kilometers per square centimeter and a standard deviation of 100 kilograms per square centimeter. (a) What proportion of these components are less than 10020 kilograms per square centimeter in tensile (b) What proportion of these components are between 9950 and 10100 kilograms per square centimeter in (c) If specifications require that all components have tensile strength between 9900 and k kilograms per strength?...
The tensile strength Y of a certain material is such that
Y=
where X is normally distributed with a mean of
=10 and a variance of
=1 (Y is said to follow a log-normal distribution. Compute each of
the following:
a. P(Y<7,000) [hint: (lnY-)/~N(0,1)]
b. P(10,000<Y<20,000)
c. P(Y>15,000)
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Suppose we measure the sample mean for n independent samples How is the variance of the sample mean changed when the sample size is increased from n-9 to n 36? What does this imply about the relationship between sample size and our estimate of the mean (sample mean here)?
The tensile strength in MPa (megapascals) measured for a random sample of 20 pieces of die-cast aluminium is displayed in the following stem-and-leaf plot: 17 007 leaf unit = 1 18 3 19 47 20 125 21 22 23 23 04448 24 014 25 26 2 The sample mean and standard deviation are: y = 215.05 s=27.19225 Assuming that the tensile strength measurements are Normally distributed, what is the width (upper limit minus lower limit) of the 90% confidence interval...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. 21) A large software company gives job applicants a test of programming ability and the mean 21) for that test has been 160...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p=231 days and standard deviation o = 12 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 227 days? The probability that a randomly selected pregnancy lasts less than 227 days is approximately (Round to four decimal places as needed) Interpret this probability. Select the correct choice below and fill in the answer...
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