Age of Senators The average age of senators in the 108th Congress was 58.5 years. If the standard deviation was 14.5 years, find: The z -scores corresponding to the oldest senators of age 83  Round z scores to two decimal places. The z-score corresponding to the youngest senator of age  38 is

Q: The average expenditure on Valentine's Day was expected to be $100.89  (USA Today, February 13,…

A:

Q: The average temperature in Anchorage, Alaska, in January is 21'F with a standard deviation of 10°.…

A: For Anchorage, μ=21σ=10 Consider, the probability that the temperature in a January with a high of…

Q: A drug was tested on one hundred and fifty patients of which thirty patients respond to the…

A: Given information: A drug was tested on 150 patients. Among 150 patients, 30 patients are responded…

Q: The time students take to complete an exam follows a uniform distribution and is between 35 minutes…

A: Given data: The time students take to complete an exam follows a uniform distribution. a = 35 b = 60

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

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 Let X be a random variable…

Q: What is the point estimate of the difference between the population mean expenditure for males and…

A: Provided data is, the average expenditure on Valentine's Day was expected to be $100.89. The average…

Q: College and University Debt A student graduated from a 4 -year college with an outstanding loan of…

A: In question, Given that A student graduated from a 4 -year college with an outstanding loan of $9942…

Q: The average salary at a certain company is $80,000 with a standard deviation of $12,000. Charles…

A: It is given that the mean and standard deviation are $80,000 and $12,000, respectively.

Q: College and University Debt A student graduated from a 4 -year college with an outstanding loan of…

A: We have given that  For college student  X=10205 ,mu=8487,sigma=1858 And For university student…

Q: In a test of a lifelong brand of tires, a survey revealed that the mean life was 35,000 miles and…

A: Solution: 1. Let X be the lifelong brand of tires. From the given information, X follows normal…

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: The average grade for an exam is 78, and the standard deviation is 8. If 10% of the class is given…

A:

Q: How many minutes did it take him to finish the face?

A: It is given that the distribution of finishing time for men was approximately normal with mean 242…

Q: College and University Debt A student graduated from a 4 year college with an outstanding loan of…

A:

Q: Heights of men have a mean of 69.0 inches and a standard deviation of 2. inches. Find each of the…

A:

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What…

A:

Q: Lazurus Steel rporation produces iron rods that are supposed to be 36 inches long. The machine that…

A:

Q: The middle 75% of the data was highly competitive house prices in the 70s. Find those house prices.

A: It is given that  Mean = 150000 Standard deviation = 25000

Q: The lifespan of a certain brand of car tires is approximately normally distributed. The car tires…

A: Given that the lifespan of a certain brand of car tires is approximately normally distributed. The…

Q: The monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose the…

A:

Q: A schoolteacher average concentration of 5.4 pCI/L with a standard deviation of 1 pCi/L. Calculate…

A:

Q: In a certain town (A), a family’s mean weekly grocery spending is $450 with a standard deviation of…

A: The mean weekly grocery spending in town A = $450the standard deviation = $35 The z score for weekly…

Q: The monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose the…

A: (1) Determine the number of workers earn more than $1500 per month. The number of workers earn more…

Q: The mean of electrical energy consumption amounts for a home during a​ two-month period is 2417…

A: Given information Mean µ = 2417 kWh Standard deviation σ = 521 kWh Using Range Rule of thumb Minimum…

Q: A food company sells salmon to various customers. The mean weight of the salmon is 45 lb with a…

A: Central limit theorem: The central limit theorem state that the sampling distribution of the sample…

Q: The average score on a quiz is 4 with a standard deviation of 0.385. What is the z-score for someone…

A: Given data,   μ=4σ=0.385If x=4.5z=?

Q: In the year 2013, the average SAT mathematic was 513. Suppose that these scores were normally…

A: Here, mean is 513 and standard deviation is 80. We will use z-standard normal distribution to find…

Q: The average salary of a civil engineer is $75,000 with a standard deviation of $10,000. Find the…

A:

Q: Please answer B and C:

A: Solution: b. Let X1 be the expenditure of the male customers and X2 be the expenditure of the female…

Q: f the value of adult male cholesterol is a normal distribution with a mean of 198 and a standard…

A: The question is about normal dist. Given : Mean of cholesterol value of adult male ( μ ) = 198 Std.…

Q: The average teacher's salary in a particular state is  $54,194 . If the standard deviation is…

A:

Q: The amount of sugar was measured for a sample of 30 different breakfast cereals.  The sample mean…

A: Given  X=1.6, n=30, mean=10.4 Standard deviation=s=5.3 We want to find Z score

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

A: Let "X" be the combined SAT scores for the students at a local high school

Q: 15. Annual Miles Driven The average miles driven annually per licensed driver in the United States…

A: a) z score for 16000 miles:

Q: The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13,…

A:

Q: Salary An employer pays a mean salary for a 5-dayworkweek of $1250 with a standard deviation of…

A: The mean salary of an employee for the 5 day work week is $1,250 and the standard deviation is $129.…

Q: Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound…

A: From the given information we conduct F test for equality of two standard deviation.

Q: Astigmatism is measured in diopters. A perfect eye with no astigmatism has 0 diopters while people…

A:

Q: College and University Debt A student graduated from a 4-year college with an outstanding loan of…

A: We have given that,  For the college student :- X= 10183 and  μ= 8442 and   σ = 1892 Further,  For…

Q: The sample standard deviation for the Goodyear Silents' score is 5.55.   (the mean is 6) The sample…

A: Given Information: For good year silents Mean (u) = 6  Standard deviation = 5.55  For opponents:…

Q: The scores for an intelligence test are normally distributed with a mean of 102 and a standard…

A: Obtain the minimum test score necessary to place someone in the upper 9​% of the​ population. The…

Q: The average salary of a civil engineer is $75,000 with a standard deviation of $10,000. Find the…

A: We have to find unusual range.

Q: A particular fruit's weights are normally distributed, with a mean of 556 grams and a standard…

A:

Q: The SAT scores of students are normally distributed with a mean of 950 and a standard deviation of…

A: Given X is normal Distributed with mean µ = 950.0 and standard deviation σ = 200.0 now will using…

Q: Historically daily high temperatures in May in Lawrenceville, Georgia, are normally distributed with…

A: Given data,μ=78σ=4P(X>92)=?

Q: Janice is 65 inches tall. The average height of students in her class is 66 inches with a standard…

A: Given data Mean height(μ) = 66 inches Standard deviation( σ) = 3.4 inches Score(Janice heights):x =…

Q: The weights of a certain dog breed are approximately normally distributed with a mean of μμ = 46…

A: Let us consider X be a random variable which denotes the weights of a certain dog breed which is…

Q: A music school has budgeted to purchase 3 musical instruments. They plan to purchase a piano costing…

A: Given that, The  purchase cost of piano is, x= $3,000 The mean cost for a piano isμ= $3,500 The…

Q: The birth weights for two groups of babies were compared in a study. In one group the mothers took a…

A: we have given that  We need to construct the 98% confidence interval for the difference between 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.