A population has a mean of 400 and a standard deviation of 90. Suppose a sample of size 100 is selected and I is used to estimate H. Use z-table. a. What is the probability that the sample mean will be within +/- 9 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

Q: For bone density scores that are normally distributed with a mean of 0 and a standard deviation of…

A: mean is 0  standard deviation is 1.

Q: 5. A sample of n 36 from a population of u = 50 and o = 18 has a mean M = 47 the z-score for the…

A:

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: the mean and the standard deviation of the sampling distribution. Compute the mean and standard…

A: According to the Central limit theorem, if the sample size, i.e, n is greater than 30, the…

Q: A property insurance company knows that fire insurance claims have a mean of $507 and a standard…

A: Given Population mean μ=507, standard deviations σ=4000,n=300  M=sample mean  T= Total amount Note:…

Q: Chebyshev's Theorem states that for any distribution of numerical data, at least The percent of…

A: Its chebychev

Q: Solve the problem. The probability that an individual is left-handed is 0.18. In a class of 90…

A:

Q: ssume that adults have IQ scores that are normally distributed with a mean of u = 105 and a standard…

A:

Q: An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average…

A: Given that  x¯=119.6n=25σ=6.5 And the population of all babies born in hospital, the birth weights…

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: Here are the weights of the bass from Tina’s sample: 12, 9, 15, 10, and 11.  We do not know the…

A:

Q: Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives…

A: Note: "Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in…

A:

Q: The length of a fully grown hibiscus plants is normally distributed and has a mean of 35cm and a…

A: Given that,Mean(μ)=35standard deviation(σ)=4     The random variable  is length of fully grown…

Q: Today, the waves are crashing onto the beach every 5.4 seconds. The times from when a person arrives…

A: Solution: Let X be the times from when a person arrives at the shoreline until a crashing wave. From…

Q: 3. The amount dispensed by the coffee machine follow the normal distribution with a mean of 5,286…

A:

Q: Find the proportion of Normally distributed observations with a z-score below 0.02. Give your answer…

A: Solution-: We want to find, (a) The proportion of Normally distributed observations with a z-score…

Q: Do I have to take many samples from my population to create a sampling distribution of the mean in…

A: Basics of sampling distribution of mean:The sampling distribution of the sample mean is essentially…

Q: When tossing two dice and finding the mean, X we find that has a mean or expected value, and a…

A: Here, it is known that the mean is 3.5 and a population standard deviation of 1.7078. The sample…

Q: In an  administration to 2000 student the average score is 65 and the standard deviation is 25.…

A: Given in an administration to 2000 student the average score is 65 and the standard deviation is 25.…

Q: Suppose IQ scores in your community are normally distributed with a mean of 102 and a standard…

A: From the provided information, Mean (µ) = 102 Standard deviation (σ) = 11 a) The Z score is 2.52.…

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: professor at a local university finds that the mean exam grade for her students is 73 with a…

A: A professor at a local university finds that the mean exam grade for her students is 73 with a…

Q: Three randomly chosen Seattle students were asked how many round trips they made to Canada last…

A: Geometric Mean : If there are X1, X2,...., Xn are n observations then the geometric mean is given…

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean of 35cm and a…

A: Given that, The random variable X is length of fully grown hibiscus plant. It is normally…

Q: ONLY SOLVE C The speed at which people type is measured in terms of words per minute (wpm). The WPM…

A: (c) 35% of wpm values are greater than what wpm? Use R. A z-score is a measure that indicates how…

Q: For bone density scores that are normally distributed with a mean of 0 and a standard deviation of…

A: The mean is 0 and the standard deviation is 1.

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: xP(x)00.00310.02620.11830.21240.27450.22760.10870.02780.005

Q: A final exam in Reindeer Research Studies has a mean of 60 and a standard deviation of 5. If 25…

A: It is given that the mean is 60, the standard deviation is 5 and the sample size is 25.

Q: Today, the waves are crashing onto the beach every 4 seconds. The times from when a person arrives…

A: As per our guidelines we are suppose to answer only three subparts kindly post the remaining…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given that  A batch of thermometers are normally distributed . Mean ( μ) =  0°C  Standard deviation…

Q: How do I do this problem?

A: Solution: Let X be the IQ score. From the given information, X follows normal distribution with mean…

Q: (b) Based on your sample, graph the 95% confidence interval for the population mean of all the…

A:

Q: Assume that you want to find the probability that when five consumers are randomly selected, exactly…

A:

Q: Derive mean of gamma distribution.

A:

Q: Children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Q: The data of the number of ‘centuries’ i.e. a scores of 100 runs or more, scored by players at a…

A: The mean value can be calculated using the formula: Here, xi is the value of the variable 'number…

Q: 4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A…

A: The proportion of a standard normal distribution which is located between mean and z = 1.40 is given…

Q: Suppose that the speeds of cars travelling on California freeways are normally distributed with a…

A: Given X=80 Mean=63

Q: Follow the steps below to construct a 99% confidence interval for the population mean of all the…

A: a) sample size = 16 sample mean = 5.496 sample standard deviation = 1.873 critical value = 2.947…

Q: A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep…

A: Given Information :  A fitness center bought a new exercise machine called the Mountain Climber.…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Mean()=105standard deviation()=15