A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round answers to four decimal places if necessary. a. What is the distribution of X? X- N( 232.3 V, 0.6 b. What is the distribution of ? a- N( 232.3 0.1664 c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 0.0618 d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and 232.5-cm. 0.079 e. For part d), is the assumption of normal necessary? Yes No o Yes

Question
Answer C and D. Previously submitted and answer was wrong.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of
232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round
answers to four decimal places if necessary.
a. What is the distribution of X? X- N( 232.3
V, 0.6
b. What is the distribution of ? a- N( 232.3
0.1664
c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm
and 232.5-cm. 0.0618
d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and
232.5-cm. 0.079
e. For part d), is the assumption of normal necessary?
Yes No o Yes
Expand
Transcribed Image Text

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round answers to four decimal places if necessary. a. What is the distribution of X? X- N( 232.3 V, 0.6 b. What is the distribution of ? a- N( 232.3 0.1664 c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 0.0618 d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and 232.5-cm. 0.079 e. For part d), is the assumption of normal necessary? Yes No o Yes

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Measures

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The ...

A: (a)   Obtain the 90% confidence interval for the population mean μ.   The 90% confidence interval fo...

Q: Find the P-value for the following values of the test statistic t, sample size n, and alternate hypo...

A: From the provided information, The value of the test statistic t = 3.635 Sample size (n) = 4 H1: µ &...

Q: Write the normal probability for the shaded region of the graph and find its value. Select the corre...

A: From the given graph,  n=16 p=0.55   By using the normal approximation method,  X~Nnp, np1-pX~N16×0....

Q: Gender (female or male) and handedness (right-handed or left-handed) are recorded for a randomly sel...

A: (a) The  Completed a two-way table of observed counts is as below:   Right- handed Left- handed T...

Q: In a science fair project, Emily conducted an experiment in which she tested professional touch ther...

A: (a)   Obtain the proportion of correct responses that would be expected if the random guesses made b...

Q: Consider the following regression equation: log Yni = log 3.07 + 0.9 log X1i + 1.41 log X2ia. Predic...

A: Given, The regression equation is, log Yni = log 3.07+0.9 log X1i+1.41 log X2i

Q: A university dean is interested in determining the proportion of students who recieve some sor of fi...

A: Click to see the answer

Q: State the meaning of µ1 and µ2 first.  The question here is:  Is there evidence from the sample data...

A: Click to see the answer

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and stand...

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean ...

Q: Show work please and thank you the box plot is in the image view  The boxplot below shows salaries f...

A: Boxplot is the graphical summary of five number summary of the data which is minimum, first quartile...

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine...

A: From the provided information, P (-c ≤ Z ≤ c) = 0.9749

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of...

A: Click to see the answer

Q: 63% of U.S. adults have very little confidence in newspapers. You and (c) less than four. (a) P(5) =...

A: Let X be the random variable such that number of U.S adults who have very little confidence in newsp...

Q: Number 8

A: As given, The correlation coefficient (r) between the amounts of sugar and calories in a gram of cer...

Q: Find a 98% confidence interval for the true mean length of eyelashes, if a sample 33 eyelashes has a...

A: Let we define µ be the true mean length of eyelashes. A sample 33 eyelashes has a mean length of 13....

Q: The price per share of stock for a sample of 25  companies was recorded at the beginning of the firs...

A: Beginning End D (d-dbar)^2 53.82 54.19 0.006875 0.002943 77.02 55.7 -0.27681 0.052640 109 102....

Q: For a lower tail test, the p-value is the probability of obtaining a value for the test statis small...

A: In this case, we need to identify the correct answer.

Q: Researchers from the University of British Columbia conducted trials to investigate the effects of c...

A: For Red Background:   sample size:nRed = 35sample mean :  x¯Red= 3.39sample standard deviation:sRed ...

Q: (a) A researcher suggests that a reason individuals wait until the last five days is that on average...

A: Hi, the question has more than 3 parts. As per the guidelines I am obliged to answer first 3 parts o...

Q: A box of chocolates should weigh 16.4 ounces. A sample of 40 randomly selected boxes had a mean weig...

A: The sample size is 40, sample mean is 16.6, sample standard deviation is 0.4, and population mean is...

Q: Calculate the standard deviation of: 6.24; 6.21; 6.26; 6.28

A: The mean of the given data is obtained as- mean=6.24+6.21+6.26+6.284=6.2475  

Q: The results of a recent poll on the preference of teenagers regarding the types of music they listen...

A: Click to see the answer

Q: The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both sampl...

A: Read a print book 2015 2018 total Yes 1195 1372 2567 No 726 605 1331 total 1921 1977  

Q: Find the critical value z/2 that corresponds to the confidence level 91%. Za/2 = (Round to two decim...

A: Solution: From the given information, the confidence level is 0.91.

Q: The average daily volume of a computer stock in 2011 was μ=35.1 million​ shares, according to a reli...

A: Click to see the answer

Q: please answer d, e, f, g thanks

A: Given information- Population mean, μ = 12 minutes Sample size, n = 14 Sample mean, x-bar = 11.4286 ...

Q: I just need B answered.....not sure how to get X2 or P-value Do males and females have the same dist...

A: chi square test: Null Hypothesis H0 Males and Females have same distribution of transportation...

Q: The population mean and standard deviation are given below. Find the required probability and determ...

A: Solution: The following values are given to us: Population mean: μ=212 Population standard deviation...

Q: The accompanying table lists the ages of acting award winners matched by the years in which the awar...

A: (A)

Q: Conduct the hypothesis test and provide the test statistic and the critical value, and state the con...

A: Given: N=100 Categories=4 α=0.025  

Q: Thank you in Advance for quick response. Best,

A: Valid pdf property is applicable .   ∫-∞∞f(x) dx = 1

Q: In a recent survey of high school students, it was found that the average amount of money spent on e...

A: Click to see the answer

Q: (a) Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: The age distribution of the Canadian population andthe age distribution of a random sample of 455res...

A: We will conduct a chi-square goodness of fit test of the null hypothesis.   Null hypothesis: H0: The...

Q: Statewide, the average score on the verbal test portion of the college exam is 453, with a standard ...

A: From the given information, the sample size is 137, sample mean is 502, population mean is 453 and t...

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with ...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: 1. Identify whether each of the following is a matched pairs or a two sample t-test. Justify your de...

A: a) Matched pairs t-test as we are focusing on a similar population to analyze whether reading on lig...

Q: (When your actually trying to study)

A: Median is the middle value of the observations in the distribution when the data values are in seque...

Q: Show work and formula please thank you  Which of the following statements is not true of the samplin...

A: Identify the option that is not true about the sampling distribution of sampling mean.   The option ...

Q: Marivic is interested in the effect of playing puzzle games on academic achievement. She devised a s...

A: R-squared: It is a statistical measure that represents the proportion of the variance for a dependen...

Q: From the sample space S= {1,2,3,4,..,15}, a single number is to be selected at random. Given the fol...

A: Probability: The chance that something will happen. It is also defined as the ratio of favorable out...

Q: Acarsalespersonestimatesthefollowingprobabilities forthenumberofcarsthatshewillsellinthenextweek:Num...

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want solution...

Q: A possible important environmental determinant of lung function in children is the amount of cigaret...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: As a general guideline, the research hypothesis should be stated as the O null hypothesis. tentative...

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for...

Q: Cardiorespiratory fitness is widely recognized as a major component of overall physical well-being. ...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

Q: You collect data on number of hours spent studying, on average, throughout the Fall 2020 semester fo...

A: Statement:  The Statistical test  used to compare the students at Stonehill and Holy Cross to look f...