Find the probability that a single randomly selected value from the population is greater than 161.4. P(X > 161.4) = Find the probability that a sample of size n = 30 is randomly selected with a mean greater than 161.4. P(M > 161.4) =

Q: The Scarlet Witch wants to test if the synthezoid she produces have a breaking strength of 5000 kg.…

A: Solution

Q: In a certain region, the mean annual salary for HVAC contractors is $53,100. Let x be a random…

A: In a certain region mean annual salary for HVAC contractors is $53100. Therefore, μ = $53,100. Let X…

Q: A survey showed that 75% of internet users are students. If 16 students are selected, (a) Find the…

A: From the provided information, 75% of internet users are students that is p = 0.75 Sample size (n) =…

Q: A farmer has a flock of 80 chickens with weights that are normally distributed with a mean of 4.00…

A: Let X be the random variable from normal distribution with mean (μ) = 4.00, standard deviation (σ) =…

Q: The average number of moves a person makes in his or her lifetime is 12. If the standard deviation…

A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 3.2 Sample size (n) = 36 a)…

Q: PVC pipes is manufactured with a mean diameter of 1.01 inch and a standard deviation of 0.003 inch.…

A: According to central limit theorem if the population is normal or the sample size is more than 30…

Q: A normal population with unknown variance has a mean of 20. Is one likely to obtain a random sample…

A: Consider that μ defines the population mean.

Q: The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.53…

A: Given that  Let X denotes the diameter of a brand of tennis  X~N(2.53, 0.04) Sample size (n)=10 Let…

Q: The life of a semiconductor laser at a constant power is normally distributed with a mean of 7500…

A:

Q: For a certain group, scores on the Mathematics Usage Test are normally distributed with a mean of…

A:

Q: In his MTH173 class, Professor Fibonacci found that the mean score of the first test was 61. Suppose…

A: Given X is normal Distributed with mean µ = 61.0 and standard deviation σ = 5.0 now will using…

Q: The mean time taken to learn the basics of a word processor by a group of students is 200 minutes…

A: Let, X= time taken to learn the basics of a word processor  Given that X follows a normal…

Q: A population which has a size of N=100 has a mean of 50 and a standard deviation of 10. What is the…

A:

Q: The average price of a kilogram of ham is ₱1,300. Assume that the standard deviation is ₱150. If a…

A: Given that

Q: A manufacturing company measures the weight of boxes before shipping them to the customers. If the…

A: It is given that: The population mean of the weight of boxesμ=200 The population standard deviation…

Q: For a random variable that is normally distributed, with mean of 80 and standard deviation of 10,…

A:

Q: A manufacturer must test that his bolts are 1.00 cm long when they come off the assembly line. He…

A: Solution: Let X be the size of the bolt. From the given information, n=49, x-bar=0.94 cm and σ=0.22…

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

A: Given,sample size(n)=36mean(μ)=502standard deviation(σ)=25

Q: The number of ants per acre in a forest is normally distributed with mean 42,000 and stands…

A: We have given that,  The  forest is normally distributed with mean(mu) = 42000 and standard…

Q: BA students, 70% said that they expect to be promoted within a month after receiving their degree.…

A: This is the case of binomial, as there are only two possible outcomes that are independent and where…

Q: he manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: The average daily jail population in the United States is 706,242. If the distribution is normal and…

A: We are authorised to answer one question at a time since you have not mentioned which one you are…

Q: 11. A recent study showed that the average length of a baby alligator was 19 centimeters with a…

A: Let X be the random variable from normal distribution with mean (μ) = 19  standard deviation (σ) = 3…

Q: ctivating temperature is at least 135 F. To test this claim, you randomly select a sample of 32…

A: Given that  Claim : Average activating temperature is at least 135 F. Random sample size (n) =32…

Q: normal distribution has a mean of u = 40 with o =4. What is the probability of sampling an…

A: We want to find the probability of sampling an individual with a score greater than 46

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: Consider, Population mean (µ) = 6.16 Population standard deviation (σ) = 0.14 Sample size (n) = 37

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given, Mean = 34 Standard deviation = 7 Sample size = 9   The objective to is find the probability…

Q: A manufacturer must test that his bolts are 5.00cm long when they come off the assembly line. He…

A:

Q: A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5. Find the…

A: Central Limit Theorem states that if you have a population with mean μ and standard deviation σ and…

Q: The manufacturer of cans of salmon, that are supposed to have a net weight of 6 ounces, tells you…

A:

Q: A random sample is selected from a normal population with a mean of μ = 30 and a standard deviation…

A: Solution: a. State the hypotheses. Null hypothesis: That is, there is no significant effect of the…

Q: he Scarlet Witch wants to test if the synthezoid she produces have a breaking strength of 5000 kg. A…

A: Given data : sample size, n = 64 sample mean, x̄ = 5100.0 sample standard…

Q: A random sample is selected from a normal population with a mean of μ = 30 and a standard deviation…

A: State the hypotheses That is, there is no sufficient evidence to conclude that treatment has a…

Q: What is the probability of selecting a sample of n=16 scores with a mean greater than M=56?

A: Let , X→N(μ=55 , σ=6) , n=16 Our aim is to the probability of selecting a sample of n=16 scores with…

Q: The fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and a…

A:

Q: The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a…

A: From the provided information, Mean (µ) = 45.0 lb Standard deviation (σ) = 7.9 lb X~N (45, 7.9) Let…

Q: The average price of a kilogram of ham is P1,300. Assume that the standard deviation is P150. If a…

A:

Q: For a normally distributed random variable the standard deviation is 3.7 what is the mean if 10% of…

A: Given that, σ=3.7 Consider that 10% of the distribution is less than 31.

Q: A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He…

A:

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a…

A:

Q: Suppose the mean cost across the country of a 30-day supply of a generic drug is $46.58, with…

A: Given,mean(μ)=$46.58standard deviation(σ)=$4.84sample size(n)=100

Q: Let x be a random variable representing the starting salary of a first-year teacher in a city.  A…

A: Given,sample size(n)=25sample mean(x¯)=$51,875standard deviation(S)=$1,055 degrees of freedom…

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given, μ=34 minutesσ=7 minutesn=9

Q: The personal office at a large electronics firm regularly schedules job interviews and maintains…

A: Given: Population mean μ=34Population standard deviation σ=7 Sample size(n)  = 9 Consider X be the…

Q: 2. A recent study stated that if a person chewed gum, the average number of sticks of he or she chew…

A: The following information has been provided: Hypothesized Population Mean (\mu)(μ) = 88 Sample…

Q: A newborn baby is classified as having Extremely Low Birth Weight (ELBW) if it weighs less than 1000…

A: It is given that the mean is 815 and standard deviation is 100.

Q: A study of college football games shows that the number of holding penalties assessed has a mean of…

A:

Q: The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers…

A: Let, X=The photoresist thickness of wafers.  Given that X follows a normal distribution with…

Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: Supppose the average age of family members is 34 with a standard deviation of 4.If the members of…

A:

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.