Which of the following statements are TRUE about the Normal Distribution? Check all that apply. O The distribution is symmetric with a single peak. The center is at the standard deviation. | Data values are spread evenly around the mean.

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.4300 with a…

A: Given Mean=7.43 Standard deviations=1.51 n=45

Q: ec. Find the probability that the next operation of the robogate will take 26.6 sec or less.

A: here mean = 22 sec standard deviation  = 2 sec x= processing time for the robogate

Q: Tori was collecting shoe sizes from her customers for ordering shoes for inventory. She collected…

A: Step 1:To determine if the data has a normal distribution, we can create a histogram and visually…

Q: If a data set has a normal distribution, what portion of the data falls between and x + o 0.34 0.475…

A: Empirical rule The Empirical rule for any normal distribution is given below:

Q: Select all the properties that must be true of a normal distribution. a The distribution is…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: State the properties of s normal distribution.

A: Normal distribution- when mean is 0 and standard deviation is  1 is called standard normal…

Q: Identify if its true or false  For any normal distribution, the area above the mean is 0.5 or 50%

A:

Q: Which of the four sets of data represents a normal distribution? O (1, 2, 3, 3, 3, 2, 1) {-10, -8,…

A: We have given that the four sets of data. Here we need to find out that which one showing the normal…

Q: Find the probability of z occurring in the indicated region of the standard normal distribution.…

A: We have to find given probability...

Q: The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally…

A: Refer Standard normal table/Z-table OR use excel formula "=NORM.S.DIST(0.30, TRUE)" to find the…

Q: Which of the four sets of data represents a normal distribution? O { 10, 12, 13, 13, 13, 14, 16} O…

A:

Q: The mean of a normal distribution has no effect on its spread.

A: It is a basic fact of central tendency. It is very useful in statistics.

Q: Which of the following statements are TRUE about the Normal Distribution? Check all that apply.…

A: In Normal Distribution, About 95% of all data values lie within 1 standard deviation of the mean […

Q: The average house has 11 paintings on its walls. Is the mean larger for houses owned by teachers?…

A: To test the above claim, one sample t-test is used and it is used to check the significance between…

Q: Select all of the properties that must be true of a normal distribution. | The distribution is…

A: We have given that the true properties of normal distribution.

Q: On average, a banana will last 7 days from the time it is purchased in the store to the time it is…

A: Note: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am…

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: Using the standard normal distribution, find the two z-scores that that form the middle shaded…

A: Using standard normal table, P( -z < Z < z) = 0.32

Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: Use the normal distribution of IQ scores, which has a mean of 130 and a standard deviation of 15,…

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: Suppose that water usages in American showers are normally distributed, with an average shower using…

A: Given Information: and 3.8

Q: The center of a normal curve is the mean of the distribution. O is the standard deviation. O cannot…

A: Answer  The center of a normal curve is the mean of the distribution. It is a bell-shaped curve.…

Q: Differentiate the different distributions 1. Normal 2. t-distribution

A:

Q: A z-score measures the probability that a particular value of the variable will occu how many…

A:

Q: What is the P (11 ≤ x ≤ 13)?

A: Given a normal distribution with mean of 12 & standard deviation of 2.

Q: PLS HELP In a normal distribution, what z-score cuts off the top 20% of the distribution? z = -1.96…

A:

Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the probability…

A: A normal distribution (X) has a mean of 100 and a standard deviation of 10.

Q: For a normal distribution, find the z-score that separates the distribution as follows: 1. Separate…

A: For the given data Find Z score that separates the distribution

Q: Jse a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A: Z be the standard normal distributionP(Z<z)=0.052

Q: Part a) What is the probability that a Duxcell battery will last longer than an Infinitycell…

A: Given that lifetime of Duxcell batteries:  X(mu1=10,sigma1=2)lifetime of Infinitycell battery:…

Q: Decreasing the mean does what to a normal curve?

A: Changing the mean of a normal density curve shifts the curve along the horizontal axis without…

Q: Find the sample size necessary for an 80% confidence level with a maximal margin of error E= 0.07…

A: Given that s.d =0.34,alpha =0.2,E =0.07 ( e) n= ?

Q: Identify if its true or false A normal distribution is symmetrical at the mean, i.e. the left side…

A:

Q: Calculating the Z-score is the last step when evaluating a normal distribution curve. O True O False

A: Normal distribution: 1. It is bell-shaped is a symmetrical continuous probability distribution  2.…

Q: that x has a normal distribution with the specified mean and standard deviation. Find the indicated…

A: Given: μ=6, σ=2 The corresponding z-values needed to be computed are: Thus,

Q: uestion

A: we have given data of students randomly selected 13 fathers n=13 α=0.10 hypothesis-testing:…

Q: ..... To transform a nonstandard normal distribution to the standard normal distribution you must…

A:

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: We have given the IQ scores of adults which is normally distributed.Population mean μ = 100The…

Q: Which is correct for a distribution that is skewed to the left?

A:

Q: The value given below is discrete. Use the continuity correction and describe the region of the…

A: See the handwritten solution

Q: for a standard normal distribution, find the percentage of data that are between 3 standard…

A: The graph with percentages is,

Q: Select all the properties that must be true of a normal distribution.

A: We give the correct option and some explanation is discuss.  Normal distribution graph

Q: Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and…

A: Z has standard normal distribution. where mean=0 and standard deviation=1 i.e. Z~N0,1