A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 90.3-cm and a standard deviation of 1.7-cm. For shipment, 12 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 91.7-cm. P(M > 91.7-cm) =  Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Q: The amount of time students study for a test is normally distributed with a mean of 3 hours and a…

A: Mean=μ=3Standard.deviation=σ=1.8Samplesize=n=30

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: The mean body mass index (BMI) for boys age 12 is 23.6 kg/m2. An investigator wants to test if the…

A: Given  detect a difference in BMI of 2 kg/m2 standard deviation in BMI is 5.7 kg/m2.   Asume that…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

A:

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Scores for a standardized test are normally distributed with a mean of 1200 and a standard…

A: given data μ = 1200σ = 60 normal distributionn = 64P(1200<x¯<1214) = ?

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: given data μ=200σ=9normal distribution P(200<x<225)=?

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Obtain the Z-score for the random variable X equals 129. The Z-score for the random variable X…

Q: Assume that adults have 1Q scores that are normally distributed with a mean of u = 105 and a…

A: We have to find given probabaility.

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: It is given that  Mean, μ = 200 Standard deviation, σ = 9 Z-Score, Z = ( X - μ )/σ

Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…

A: According to the given information, we have Mean = 819 hours Standard deviation = 45 hours

Q: Find the z-score for a single member of the population which has value 86. if the population has a…

A:

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

A:

Q: ores are normally distributed with a mean of 1518 and a standard deviation of 325. If 1 SAT score…

A: Given: μ=1518, σ=325 The corresponding z-value needed to be computed is: If 1 SAT score is randomly…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 105 and a…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: Assume that the readings on thermometers are normally distributed with a mean of 0 degrees Celsius…

A: We have given that Mu= 0 , sigma =1 X~ N ( 0, 1) Zscore=(x-mu)/sigma

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

A: mean=145.2cm S.D=2.2cm

Q: The average time a person spends shopping in a grocery store is 43 minutes.  If the time is normally…

A: Given:  The average time a person spends shopping in a grocery store is 43 minutes.  The time is…

Q: An ABC new report stated that the mean distance that commuters in the United States travel each way…

A: Given : μ = 16 , σ= 8 and n= 75

Q: The average length of crocodiles in a swamp is 11 feet. If the lengths are normally distributed with…

A: Given: μ = 11 σ = 1.5 Formula Used: Z = X-μσ

Q: Please do the f number: The home loan department of BRAC Bank Limited sanction a significant number…

A: Normal distributions are symmetric around their mean. The mean, median, and mode of a normal…

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Let  be the percent of fat calories that a person in America consumes each day.The random variable…

Q: The average credit card debt for college seniors is $3262. If the debt is normally distributed with…

A: Let X be the random variable from normal distribution with mean (μ) = $3262 and standard deviation…

Q: Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If…

A: In this scenario, it is known that the  mean weight is 64 pounds with a corresponding standard…

Q: res light bulbs that have a length of life that is normally distributed with mean equal to 821 hours…

A:

Q: Let X = number of miles a family travels for summer vacation. X follows a normal distribution with a…

A: From the given information,X follows a normal distribution with a mean of 311 miles and standard…

Q: Trucks in a delivery fleet travel a mean of 120120 miles per day with a standard deviation of 3333…

A: Given that, Mean (m)=120 Standard deviation (sd) = 33 The mileage per day is distributed normally.…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard…

A: Given that adults have IQ scores that are normally distributed with, Mean = 103.6 Standard deviation…

Q: Assume IQ scores for adults are normally distributed with a mean of 100 and a standard deviation of…

A:

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: For the distribution (specified to be normal) of the hourly wage (in ) for manufacturing workers in…

Q: The life of light bulbs is distributed normally. The mean life time of a bulb is 520 hours and the…

A: Answer: Using the given data, Let X represent the life time of a light bulb X follows normal…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours…

A: The following information has been provided: The population mean is μ=600. The population standard…

Q: Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3030…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a…

A: Given Data Population Mean,μ = 0 Population Standard Deviation,σ = 1

Q: Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles…

A:

Q: According to the latest internet usage survey of college students, the amount of time spent on…

A: From the provided information, Mean (µ) = 210 minutes Standard deviation (σ) = 45 minutes X~N (210,…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: As a group, the Dutch are among the tallest people in the world. The average Dutch man is 184 cm…

A: For the distribution of the height of Dutchmen (which is specified to be approximately normally…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.