The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of 12 days. A distribution of values is normal with a mean of 265 and a standard deviation of 12.

Q: A distribution of values is normal with a mean of 205.3 and a standard deviation of 65. Find P93,…

A: It is given that the values follow normal distribution with mean 205.3 and standard deviation 65.

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A: Given,mean(μ)=0.917standard deviation(σ)=0.311

Q: The ages of people at a concert are normally distributed with a mean of 24 years in a standard…

A: Given the ages of people at a concert are normally distributed with a mean of 24 years in a standard…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: The combined SAT scores for the students at a local high school are normally distributed with, Mean…

Q: Durations of human pregnancies are normally distributed with a mean of 268 days and a standard…

A: To determine: Approximately the numbers of women, in a sample of 3000, are expected to have a…

Q: The human population has a mean IQ score of µ = 100 and a standard deviation of σ = 15. Find the…

A: From the given information, µ = 100 and σ = 15.

Q: Scores by women on the SAT-1 test are normally distributed with a mean of 988 and a standard…

A: Given Information Now we have to calculate corresponding Z value                         Z = 0.7388…

Q: The test scores of a physics class with 800 students are distributed normally with a mean of 75 and…

A: Given: Number of students=800 Test score is normally distributed with mean,μ =75sd,σ=7

Q: A distribution has a standard deviation of σ= 20.  A score 10 points above the mean would have a…

A: Solution Where,

Q: A normal distribution has a mean of 103 and a standard deviation of 5. Find the z-score for a data…

A:

Q: The length of pregnancies in a small rural Village are normally distributed with a mean of 260 days…

A: A. According to Empirical rule, at least 68% of the data points lie within 1 standard deviation away…

Q: The test is two-tailed. The sample consisted of 25 night students, with a sample mean GPA of 2.96…

A:

Q: A distribution of values is normal with a mean of 211.5 and standard deviation of 94.7. Find P3,…

A: mean = 211.5 , stdev = 94.7

Q: A distribution of values is normal with a mean of 204.2 and a standard deviation of 39.2. Find P84,…

A: Given: A distribution of value is normal with mean of 204.2 A standard deviation of 39.2 It is…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Solution-: Given: μ=267,σ=15 We find. P(X>312 days)=?

Q: A normal distribution has a mean of 113 and a standard deviation of 6. Find the z-score for a data…

A: A normal distribution has a mean of 113 and a standard deviation of 6.

Q: A  distribution has s standard deviation of σ=8. A score  below the mean by 16 points would have a…

A: Solution: From the given information, σ=8. Suppose the mean is “µ” and the below the mean by 16…

Q: Prestigious University desires to accept only the top20% of all graduating seniors based on the…

A: Given: μ=500σ=100 The z- value is obtained as below:…

Q: hourly wages of wives are normally distributed with a mean of 8.71 and a standard deviation of 1.6,…

A:

Q: Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find…

A: According to the provided information, the data represents scores on a test are normally distributed…

Q: The heights (in inches) of males in the United States are believed to be approximately Normally…

A:

Q: A normal distribution has a mean of 108 and a standard deviation of 6. Find the z-score for a data…

A:

Q: The human population has a mean IQ score of µ = 100 and a standard deviation of σ = 15. Find the…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: A mark of at least 50 is required to pass a course. The marks this year run from a low of 45 to a…

A: Solution:   Required marks to pass = 50. Marks this year goes from 45 to 83. Let X1, X2, X3,...Xn be…

Q: The mean length of a human pregnancy is 268 days with a standard deviation of 9 days. Assume the…

A:

Q: A distribution of values is normal with a mean of 202 and a standard deviation of 91.5. Find P75,…

A: Obtain the score separating the bottom 75% from the top 25%. The score separating the bottom 75%…

Q: A civil service exam yields scores which are normally distributed with a mean of 81 and a standard…

A: Solution-: Given: μ=81, σ=5.5 We want to fin x such that, P[X<x]=0.15

Q: A normal distribution has a mean of 134 and a standard deviation of 3. Find the z-score for a data…

A: According to the given information in this question We need to find the z score value

Q: normally distributed with a mean of 45 minutes and a standard deviation of 12 minutes.

A: Given that The amount of time a customer spends shopping in a grocery store is normally distributed…

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…

A: Given: Population mean recovery time μ=4.1 Population standard deviation time σ=3.9 Observed time…

Q: n​ 2007, the mean rate of violent crime​ (per 100,000​ people) for 10 regions in the northeast of a…

A: Empirical Rule: The percentage of values lies between one standard deviation from the mean is 68%.…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A:

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Mean = 267 Standard deviation = 15

Q: A certain population is normally distributed with a mean of 138 and a standard deviation of 10. How…

A: It is given that Mean = 138 and SD = 10 Data value X = 98

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A:

Q: A normal distribution has a mean of 117 and a standard deviation of 4. Find the z-score for a data…

A:

Q: The scores on a test are normally distributed with a mean of 50 and a standard deviation of 10. Find…

A: Given that:

Q: A distribution of values is normal with a mean of 197.6 and a standard deviation of 24.6. Find P40,…

A: Given that X denotes the value of the distribution that follows normal distribution  With mean=197.6…

Q: The amount of sodium sulfate, in mg, found in the bottled water follows a normal distribution with a…

A:

Q: A certain type of pumpkin has a mean weight of 6.4 pounds with a standard deviation of 0.5. What is…

A: Proceed as shown below...

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45.  If…

A: Given data, μ=2.78σ=0.45P(2.5<x<3.5)=?P(2.0<x<2.5)=?

Q: A normal distribution has a mean of 147 and a standard deviation of 4. Find the z-score for a data…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A: Let us define the random variable X as the lengths of pregnancies in a small rural village are…

Q: A set of data is normally distributed with mean 51 and standard deviation 5. Determine the value of…

A: Given that, Mean = 51 Standard deviation = 5 Z score = -1.75

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: Given: The corresponding Z score can be calculated as: The probability that the length of…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Given μ=1515 and σ=304   Use standardization, z=x-μσ

Q: A normal distribution has a mean of 136 and a standard deviation of 10. Find the z-score for a data…

A: Given information- Population mean, µ = 136 Population standard deviation, σ = 10 We have to find…

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of…

A: Given  X~N(μ=0.889, σ2=0.3232) We want to find the probability  P(X<0.598)= ?  Note: this…

Q: A distribution of values is normal with a mean of 246.2 and a standard deviation of 99.5. Find P78,…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.