A manufacturer of tires wants to advertise a mileage interval that excludes no more than 3% of the mileage on tires he sells. All he knows is that for a large number of tires tested, the mean mileage was 90000 kilometers, and the standard deviation was 5000 kilometers. What interval would you suggest?(Hint: Use Tchebysheff’s Theorem)

Q: The distribution of scores on a standardized aptitude test is approximately normal with a mean of…

A:

Q: Your medical research team is investigating the standard deviation of the cost of a 30-day supply of…

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for…

Q: Suppose that the mean cranial capacity for men is 1040 cc (cubic centimeters) and that the standard…

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Q: Your medical research team is investigating the standard deviation of the cost of a 30-day supply of…

A: Hypothesis: Hypothesis is an assumption about the parameter of the population which will be made on…

Q: A company pays its employees an average wage of $22.50 an hour with a standard deviation of $2.30.…

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Q: A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales…

A: From the provided information, Sample size (n) = 1500 adults 40% of all adults in Ohio support the…

Q: Pandora, the owner of a food delivery app, knows from experience that the time needed to assemble a…

A:

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

A: Solution: Let X be the length of pregnancies in a small rural village From the given information, X…

Q: For a population with a standard deviation of σ = 20, how large is a sample  necessary to have a…

A: The standard deviation is 20.

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

A: Solution: Let X be the violent crime rate. From the given information, X follows normal distribution…

Q: The standard deviation of the population of IQ Scores is standardized to be 15 points. Calculate the…

A: (a) Obtain the standard error of the mean for the sample of size of 81. The standard error of the…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A:

Q: z-score of

A: Given that  Value (x) = 27 Mean (μ) = 24 Standard deviation (σ) = 2   We know that  Z=(x-μ)σ

Q: The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be…

A: Introduction -Mean =μp^=pstandard deviation =pqnwhere , q=1-pn=sample sizep=proportion p^=estimated…

Q: 1. In her class in Accounting, Miss Kay told the students that they need a grade in the top 10% of…

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Q: An orange juice producer buys all his oranges from a large orange grove. The amount of juice…

A: Given: μ=4.7 and σ=0.4. d)From the given…

Q: If the average low temperature of a winter month in Rochester, NY is 16° and the standard deviation…

A: The Chebyshev’s inequality theorem states that of the data values falls inside the k standard…

Q: )A potato chip manufacturer has found that in the past the standard deviation of bag weight has been…

A:

Q: A random sample of 75 eighth grade students scores on a national mathematics assessment  test has a…

A: Population mean (µ) = 270Standard deviations (σ) = 30Sample size (n) = 75Sample mean (x̅) =…

Q: A business owner usually requests freelancers to work with, where he pays his freelancers an average…

A: From the given information, the mean is 15.90 and standard deviation 1.50.

Q: The distribution of scores on a standardized aptitude test is approximately normal with a mean of…

A: Given that.   X~N( μ , ?^2 )   μ=510     , ?=105   Z-score =( x - μ )/?

Q: Which of the following statenments stated below is precisely correct/true? OA The standardized…

A:

Q: A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to…

A: k = x-μσ

Q: Answer the following by using the z-table from class. Roadworthy tires last an average of 30,000…

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Q: In a manufacturing process a cylinder is machined with a diameter of 0.500 0.03 inch. Cylinder…

A: We have to use central limit Theorem to find out the probabilities.

Q: A score that is 20 points above the mean corresponds to a z-score of z – 1.25. What is the standard…

A: Given: z= 1.20 20 points above the mean. that is

Q: A lab technician is tested for her consistency by making multiple measurements of the cholesterol…

A: State the given values σ=1n=18s=2α=0.01

Q: The Credit Risk Department of a major bank estimates the default rate on loans under $10.000 to be…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, what value…

A: X follows a Normal distribution with mean = 35 and S.D = 7.5 Then z=(x-mean)/SD = (x-35)/7.5…

Q: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 9.…

A: Solution: Let X be the random variable. From the given information, X has a population mean µ=144…

Q: particular group of men have heights with a mean of 181 cm and a standard deviation of 8 cm. Richard…

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Q: Q.3 Assume that the heights of men are normally distributed with a standard deviation of 2.5 inches.…

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Q: For a population with mean of 50 and a standard deviation of 8, what is the Z-score that corresponds…

A: Given:  population mean of random variable x is =50 and standard deviations=8  then find z score…

Q: the golf scores for a school team were normally with a mean of 68 and a standard deviation of 3. Use…

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Q: The average square footage of a US single-family home is 2000 square feet With a standard deviation…

A: The Chebychev's rule states that at least 1-1k2100% lie within k standard deviations from mean, that…

Q: On an exam, Tom scored 8 points above the mean and had a z-score of +2.00. The standard deviation…

A: Given: z-score=2 Score above the mean=8

Q: A lab technician is tested for her consistency by making multiple measurements of the cholesterol…

A: Solution: Given information: n=12 Sample size  σ= 1.2 mg/dL  Population standard deviation  s= 1.5…

Q: Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(z…

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

Q: On an exam with u=52 ,a person scores x=56.Which value for the standard deviation would give this…

A: We have given that,  Mean = 52 , X = 56 , We have to find z-score at  (1) sigma = 2  (2) sigma = 4…

Q: 1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now,…

A: Given that  Sample size n =50 Sample mean =871 Standard deviation =21 Population mean μ =880

Q: Q- For a sample of washers produced by a machine is normally distributed with mean inside diameter…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A firm specializing in the preparation of income tax returns, claims the mean refund for customers…

A: State the hypotheses.

Q: suppose the average time to fill a routine prescription at a local pharmacy is 35 minutes based on…

A: Given data,Mean μ=35sd    σ=11x=48z=?

Q: Answer the following by using the z-table from class. People spend an average of 7 hours per day on…

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Q: Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15.…

A: Since the area corresponding to z-value 1.73205 is 0.958368 calculated by Excel command NORM.S.DIST…

Q: Suppose that the mean cranial capacity for men is 1040 cc (cubic centimeters) and that the standard…

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Q: A research worker wants to determine the average time it takes a mechanic to rotate the tires of a…

A: Given: Level of significance = 0.05 Time = X X follows normal distribution  standard deviation = 1.2…

Q: Q2) A certain machine makes electrical resistors having a mean resistance of 60 ohms and a standard…

A: Given information: μ=60, σ=2

Q: Under what circumstances would a score that is 15 points above the mean be considered an extreme…

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Q: The results from a statistics class’ first test are as follows: The average grade obtained on the…

A: A normal distribution is also called bell shaped curve which is symmetric about the mean. 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.