Sketch the distribution, show the mean and standard error, and shade the part of the curve corresponding to your calculation. Suppose that at a large university,  34% of the students decide to take their classes online. 1. If a university researcher takes a sample of 200 students, what is the probability that less than 30% of the sample will decide to take classes online?

Q: f the height of Grade 6 pupils is normally distributed with a mean of 64 in. And a standard…

A: The z-score is calculated asz=x-μσ

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

A:

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: The mean of a population (μ) is 120 and the standard deviation is 20.  What is the mean of the…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 20

Q: In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. What are the…

A:

Q: For a binomial distribution, the mean is 6 and the standard deviation is 2. Write out all the terms…

A:

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: In a certain distribution of​ numbers, the mean is 80 with a standard deviation of 3. At least what…

A:

Q: Suppose that the average amount of ice cream that children eat at birthday parties is 3.6 oz, with a…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: A study has shown that 15% of all college textbooks have a price of $178.52 or higher.  It is known…

A: From the provided information Standard deviation (σ) = $32.55 Let X be a random variable which…

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

A: Let, X= resistance Given that X follows a normal distribution with mean=50 and standard deviation=4…

Q: A population has a mean of u = 30. If 3 points are added to each score, what is the mean for the new…

A: Given :  Mean(μ)=30 and N=3

Q: Q6) From the Uniform Distribution, find the mean and standard deviation from the graph: f (x) 20 20

A: Given : From given graph : Let X be r.v follows uniform dist.  X~U[0,20] a=0 , b=20

Q: The mean and standard deviation of the sampling distribution of the mean is shown as?

A:

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: For the binomial​ distribution, which formula finds the standard​ deviation?

A: Consider the terms for any binomial distribution.

Q: Suppose the value of a stock varies each day from $12 to $27 with a uniform distribution.  Find σ

A:

Q: For a measure of  body weight, converted to z or standard scores, what is the probability of having…

A: Solution For standard normal distribution, Mean=0  & standard deviation = 1. Find:

Q: (a.) Find the point estimate for the mean and standard deviation of the salaries of all the…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  Now  Here Given the salary of 12…

Q: Suppose the weight of dogs is normally distributed with a mean of 35 pounds and a standard deviation…

A: Given,   Mean = 35 Standard deviation = 5   The objective is to find the probability a dog weighs…

Q: For a t distribution with 15 degrees of freedom, 90% of the distribution is within how many standard…

A:

Q: Peter collected data to find that the finishing times for cyclists in a race has a normal…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

Q: Suppose that 35% of all adults in a population would say “good” and 65% would say “bad” if they were…

A: It is given that a sample of 1,000 adults from a population is randomly selected and the population…

Q: Consider a test of coordination that has a normal distribution, a mean of 60 and a standard…

A:

Q: For any distribution, what is the z-score corresponding to the mean?​

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: f the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what…

A:

Q: Hello, how do you calculate this? Thank You!

A: Compute the 90% confidence interval for the population mean.Since the sample size is small and the…

Q: Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard…

A:

Q: Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard…

A: Given:  Let n represents the number of students in the class (n=100). Let p represents the…

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…

A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08   X~ Normal μ, σ2   To…

Q: Past experience indicates that the standard deviation in the time it takes for a “fast lube”…

A:

Q: Find the proportion of their long distance calls that is between 4.0  minutes and 5.5 minutes?

A: Let X be a random variable which denotes lengths of the long distance calls.…

Q: The mean is μ =137 and the standard deviation is σ = 5.3, Find the probability that X is between…

A:

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

A:

Q: For any distribution, what is the z-score corresponding to the mean?

A:

Q: Assume that the heights of 400 basketball players are normally distributed with a mean of 175 cm and…

A: 3.  Assume that the heights of 400 basketball players are normally distributed with a mean of 175 cm…

Q: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: A scientist found that the lengths of a certain population of snakes can be reasonably described…

A: The normal distribution  in the center is generally denser and basically less dense at tails. There…

Q: Find the z-score for the value 80, when the mean is 70 and the standard deviation is 2.

A:

Q: The mean score of a competency test is​ 82, with a standard deviation of 2. Between what two values…

A: Given that : Mean (u) = 82 S. D. (sgma ) = 2 Assume data set is nell shapped i.e  standard normal.

Q: In a normal distribution, it is found that the mean is 56 and the standard deviation is 5, Find the…

A: We want to find the range of the values

Q: According to the South Dakota Department of Health, the number of hours of TV viewing per week is…

A: (A) Let X denote the the distribution of hours women watched follows the normal distribution mean of…

Q: . A professor finds that the grades in a large class are normally distributed. The mean of the…

A:

Q: Use the normal distribution of fish lengths for which the mean is 8 inches and the standard…

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 you have a distribution with a mean equal to 100, median equal to 75, and mode equal to 50.…

A: Given that  Mean =100 Median =75 And Mode=50

Q: A sociologist found that in a sample of 45 retired men, the average number of jobs they had during…

A: Given : population mean ,u = 7.2  population standard deviation,σ = 2.3

Q: For a random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample…

A: Given data:   The given sample size is n=10. The given mean head circumference is x=57.3 cm. The…

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.