Week no. 5- Exercises. Normal Distributions(part 1) I.Find the area of the following in percent (%). 1. z = 1.57 2. z = 2.81 3. From z = 1.0 to z = 3.02

Q: From the table below, give the percentile of a value of 70 (rounded to the nearest whole percentile)…

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Q: (a) Approximately what percent of the song lengths will last more than 7 minutes? (b) State the…

A: Here given ,  Cumulative relative frequency graph for length of song in minutes.

Q: Use the table below to find the percentage of data items in a normal distribution that lie a. below…

A: Solution:Percentile reports the percentage of data items in a normal distribution that lies below…

Q: Use the table below to find the percentage of data items in a normal distribution that lie between z…

A: Given that,Z scores are -0.1 and 0.1

Q: A store orders tubes of glue in the proportions shown in the following table. Find the cumulative…

A: Given, The table which represents the size and proportion of tubes of glue. To find: Cumulative…

Q: Find the proportion in a t-distribution less than – 1.4 if the samples have sizes n1 30 and n2 = 40.…

A: When the sample size is n1=30, the degrees of freedom is n1-1=29 Then,P[T<-1.4],T~t29 is 0.08606…

Q: 6. Given: N(78,2, 25.6) The x is at the 59.0 percentile, meaning 0.3900 to left of x. Find the…

A: Here, µ = 78.2 and σ = 25.6

Q: # Siblings Frequency Relative Frequency Cumulative Frequency 0 44 0.1913   1 46   90 2 50 0.2174 140…

A: a) The completed table is as follows:  Siblings Frequency Relative Frequency Cumulative Frequency…

Q: ount of time an individual spends completing tax forms is 7.9 hours. Data: x¯=8.3 hr,s=2.1 hr,

A: As the population standard deviation is not known, we will use t distribution.

Q: Ax) = (1/10) e-X/10 x2 0 2. Refer to Exhibit 6-7. The mean of x is . O 1000 O.10 100 10

A: The probability density function of a random variable gives the probability at each possible value…

Q: Determine the percent of data greater than z=−1.20.      The percent of data greater than z=−1.20 is…

A: We need to evaluate P(z>-1.20) Its graph is given as

Q: The plot below shows the distribution of ages for 80 people called Crystal. Age о OOOO о OOOO OOOO…

A: It is required to identify the values defining the middle 95% of the dataset, and use these to…

Q: Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis…

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

Q: A vertical line drawn through a normal distribution at z = -0.60 separates the distribution into two…

A: A standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: What is the t-value associated with 11 degrees of freedom and 2.5% in the tail? (please round your…

A: Solution

Q: 220 people are asked how many siblings they have? # of Siblings Frequency Relative Frequency…

A: Solution:a.The table is completed below:The frequency of 1 sibling is calculated below:The total…

Q: None

A: To find the closest point zzz such that 36.98% of the observations fall above it, we assume the…

Q: A vertical line is drawn through a normal distribution at z = -1.20. Which proportion of the…

A: The vertical line represents z=-1.20. Shade the area under the normal curve to the right of z=-1.20.…

Q: Percentile ranks are closely tied to which of the following terms?     a. Σf   b. stem and leaf…

A: Percentile rank: The kth percentile is the value at or below which at least k percent of the…

Q: d. Graph the model p = 0.89 t + 4.92 in the scatter plot. Does the line come close to the data…

A: Yes the line close to the data points

Q: The z-score for 14.5 ounces is -2.50; the z-score for 16.5 ounces is 2.50. Using the answers from…

A: Given, The z scores i.e., -2.50 and 2.50

Q: For the following description of data, identify the W's, name the variables, specify for each…

A: According to the given scenario, Business analysts hoping to provide information helpful to grape…

Q: What number of offenses falls at the 30th percentile? The 80th percentile?

A: Data is given for number of offences for year(2014 to 2013) We have to calculate 30th and 80th…

Q: # of Siblings Frequency Relative Frequency Cumulative Frequency 0 34 0.1545 34 1 58 0.2636 92 2 40…

A: From the provided information, # of Siblings Frequency Relative frequency Cumulative…

Q: Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis…

A: In regression analysis, R square value is used to understand the variance proportion of dependent…

Q: 1. For the following sets of data, find the mean, variance, and standard deviation: 2 6 8 8 8 8 11…

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Q: Use the table below to find the percentage of data items in a normal distribution that lie between…

A:

Q: Mean (Average): 76 Population Standard Deviation, σ 19 Total Numbers, N 45       What score…

A:

Q: kg J Click the icon to view the radiation levels. W percentile corresponding to 0.61 is kg und to…

A: Given The percentile corresponding to 0.61 W/kg

Q: Determine the percent of data greater than z=−1.40.    The percent of data greater than z=−1.40 is…

A: The answer is, 91.9%    the detailed solution is as follows below:

Q: In one study, the effect on lung volume after 6 months of a new medication was investigated. The…

A: The objective of this question is to determine whether the new medication has a statistically…

Q: A researcher claims that at least 10% of all football helmets have manufacturing flaws that could…

A: From the provided information,