The weight, in kilograms, of cereal in a box, can be modeled by a normal distribution with Mean ? and a standard deviation of 5.4 kg. Given that 10% of boxes contain less than 18 kg. Find. a. The value of ?. b. The percentage of boxes that contain more than (18+4) kg.  c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (18+3) kg and standard deviation of ?. Given that the probability of boxes contains between 18 kg and (18+6) kg is 0.9671, find the value of ?.

Q: According to the Empirical Rule, the percentage of observations in a data set (providing that the…

A:

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a…

A: Empirical Relationship: The empirical rule states that if a distribution is unimodal and symmetric…

Q: If the age distribution of customers at a major retail chain is thought to be bell-shaped with a…

A:

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 330 grams and a…

A: According to the empirical rule,

Q: Suppose the people living in a city have a mean score of 49 and a standard deviation of 77 on a…

A: Hello there! I see there are more than 3 sub parts in the question. According to our policies can…

Q: Suppose that the manager of a construction supply house determined from historical recordsthat…

A: a) The expected lead time demand = 50 tons. Risk = 3% The demand during lead time is normally…

Q: For any Normal Distribution, approximately . of the observations fall within three standard…

A: Normal distribution is given.

Q: Assuming that the heights of college women are normally distributed with mean 64 inches and standard…

A: Given: μ=64 inchesσ=1.8 inches We have to find 1. what percentage of women lies between 62.2 inches…

Q: Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x2 104)? A.…

A: We have given that.   X~N( μ , ?^2 )   μ=98   , ?=6   Z-score =( x - μ )/?

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: Obtain the Z-score for the random variable X equals 150 The Z-score for the random variable X equals…

Q: In a normal distribution, 99.7% of the data fall within how many standard deviations of the mean? A.…

A: Solution-: In a normal distribution, 99.7% of the data fall within how many standard deviations of…

Q: For the normal distribution of burning times of electric light bulbs, with a mean equal to 1200…

A:

Q: Suppose the people living in a city have a mean score of 35 and a standard deviation of 10 on a…

A: Heh there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

Q: c. Find P(X>40).

A: Let X denote the automobile mileage ratings. Given that X follows N(mean = 37, SD = 1.4), then Z =…

Q: Below is the graph of a normal distribution with mean = standard deviation o = 84 and 2.4

A: Given Information: A graph of a normal distribution with mean μ = 84 and standard deviation σ=2.4 To…

Q: c) For the normal distribution of burning times of electric light bulbs, with a mean equal to 1200…

A: Since you have posted multiple subparts , we will solve first three subparts  for you. To get the…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A: Obtain the Z-score for the random variable that X equals 70. The Z-score for the random variable…

Q: The prices of all college textbooks follow a bell- shaped distribution with a mean of $100 and a…

A:

Q: If the weights of 8000 men follows a normal distribution with mean 67 kg. and the standard deviation…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A:

Q: The diameters of watermelons at a local supermarket are normally distributed with a mean of 10…

A: Let X denote diameters of watermelons at a local supermarket. Given that X follows Normal(mean = 10,…

Q: The price-earnings (PE) ratios of a sample of stocks have a mean value of 10.75 and a standard…

A: Empirical Relationship: The empirical rule states that if a distribution is unimodal and symmetric…

Q: For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80. O - 1.25…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 8

Q: A soft-drink dispenser can be adjusted to deliver any fixed number of ounces of soft-drink. If the…

A:

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x 93)? O A.…

A:

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: What is the value of k?   What is the standard deviation?

A: Here use basic of discrete probability distribution

Q: a) About 68​% of organs will be between what​ weights? ​(b) What percentage of organs weighs between…

A: Let , X→N(μ=300 , σ=25) Use the empirical rule to determine the following :  (a) About 68​% of…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 47)? OA.…

A:

Q: The Energy Information Administration reported that the mean retail price per gallon of regular…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: Suppose that the amount of sleep college students get per night has a symmetric, bell shaped…

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

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the…

A: Let X be the random variable from normal distribution with mean (μ) = 0 and standard deviation (σ) =…

Q: At the local liquour store, a single purchase approximately follows a normal distribution with a…

A:

Q: Given the matched-pairs below, compute the mean and standard deviation for X Y. X 14.1 13.6 15.8…

A:

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135…

A: We want to tell you which one is the correct choice.

Q: (O) What is the standard deviation of a distribution that has a mean of 46.2 if a PERFORMANCE value…

A: From the provided information, Mean (µ) = 46.2 Performance value (x) = 28 Z score = -1.24

Q: an in adult males has a​ bell-shaped distribution with a mean of 350 grams and a standard deviation…

A: As per the empirical rule for normal distribution, 68%, 95% and 99.7% of the values lie within one,…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A:

Q: Consider a normal distribution curve where 70-th percentile is at 11 and the 30-th percentile is at…

A: Given 70-th percentile is at 11, then…

Q: The mean length of a human pregnancy is 269 days, with a standard deviation of 10 days. Use the…

A: According to empirical rule.

Q: The price-earnings (PE) ratios of a sample of stocks have a mean value of 12.75 and a standard…

A: Introduction: Since the distribution of the price-earnings or PE ratios is bell-shaped, it can be…

Q: For a population with a standard deviation of o = 5, find the z-scores for the locations of 20…

A: For a population with a standard deviation of σ = 5.

Q: The distribution of the number of dill pickle spears in a gallon container is approximately Normal…

A: Solution

Q: John beale of stanford, ca, recorded the speeds of car driving past his house, where the speed limit…

A: Given: μ=23.84σ=3.56 a) The Z score is obtained as below: z=x-μσ=20-23.843.56=-3.843.56=-1.08 Thus,…

Q: The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution…

A: From the provided information, Mean (µ) = $78,000 Standard deviation (σ) = $11,000 Let X be a random…

Q: Suppose that the mean cranial capacity for men is 1040 cc (cubic centimeters) and that the standard…

A:

Q: .The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and…

A:

Q: Assuming that the heights of college women are normally distributed with mean 65 inches and standard…

A:

Q: A certain machine makes electrical resistors having a mean resistance of 50 ohms and a standard…

A: According to the given information, we have Mean = 50 Standard deviation = 4

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.