Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the z-values for 1, 2, and 3 standard deviatio from the mean, and write in the probabilities between each standard deviatic before attempting to answer the questions. The average life-span of a True Test auto battery is 39 months with a standarc deviation of 3 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between 33 and 45 months. 2. We can expect 15 % of the batteries to last less than 30 months. 3. We can expect 16 % of the batteries to last longer than 42 months. 4. We can expect % of the batteries to last between 30 and 39 months. 5. We can expect % of the batteries to last between 42 and 48 months.

Q: Use technology to construct the confidence intervals for the population variance σ2 and the…

A:

Q: Executives of a supermarket chain are interested in the amount of time that customers spend in the…

A: 1.The given claim is to test, whether the mean μ is less than 38 minutes. So here Ho: μ = 38 VS Ha :…

Q: The shape of the distribution of the time required to get an oil change at a 20-minute oil-change…

A: From the above question To compute probabilities regarding the sample mean using the normal model,…

Q: Customers arrive at a movie theater at the advertised movie time only to find that they have to sit…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: Assuming that the scores of the student in a test are normally distributed with the mean of 40 and…

A: We have given that  Mean(µ) = 40Standard deviations (σ) = 6X ~ N (µ, σ )= N(40, 6)

Q: A sample of size 10 will be drawn from a normal population with mean 15 and standard deviation 22.…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: The shape of the distribution of the time required to get an oil change at a 20-minute oil-change…

A: The random variable X follows normal distribution. The population mean is 21.3 minutes and…

Q: The Economic Policy Institute periodically issues reports on wages of entry-level workers. The…

A: Given that, The standard deviation for male graduates is $2.30 and for female graduates is $2.05.…

Q: The weight of Idaho potatoes are normally distributed with a mean of 15 oz and a standard deviation…

A: It is given that:

Q: The Internal Revenue Service reports that the mean federal income tax paid in a recent year was…

A: From the given information, μ=8040σ=5000n=100

Q: Suppose the weights of 3-month-old babies are normally distributed—baby boys with a mean of 14.4…

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

Q: Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Assume that X, the starting salary offer for psychology majors, is normally distributed with a mean…

A: Given,mean(μ)=47,507standard deviation(σ)=5,000

Q: You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model…

A: Introduction: Denote μ1, μ2 as the true mean repair costs for washing machines of Model A and Model…

Q: You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model…

A: Introduction: Denote μ1, μ2 as the true mean repair costs for washing machines of Model A and Model…

Q: The shape of the distribution of the time required to get an oil change at a 15-minute oil-change…

A: (a) Sampling distribution of sample mean: If the population is normally distributed then the…

Q: You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model…

A:

Q: Assume that the distributions for the following scenarios are normal. Use the normal standar table…

A: Let X represent the random variable Mean=75 SD=8   X~ Normal (75, 82)

Q: The senior Class of 2012 at Rancho High strongly believesthat they have better grades than their…

A: The paired t-test is used when: the sample sizes are equal. two samples are independent but the…

Q: Find the following probabilities for test scores X, for which the mean is 600 and the standard…

A: (a) The random variable X is defined as the test scores which describes by a normal curve with mean…

Q: You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model…

A:

Q: For the standard normal curve, compute the following probabilities. Do not use your calculator.  Use…

A:

Q: Assume that x has a normal distribution, with the specified mean and standard deviation. Find the…

A:

Q: Use technology to construct the confidence intervals for the population variance σ2 and the…

A: to calculate confidence interval for standard deviationci = (n-1) s^2 / ᴪ^2 right < σ^2 <…

Q: A new television series is to be shown. A broadcasting executive feels that his uncertainty about…

A: Given data: Mean = 18.2 Standard deviation = 1.5 To find: According to this executive, the…

Q: Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal…

A: As the distribution is symmetric, we know that if μ is the mean of the distribution, then…

Q: The Bun-and-Run is a franchise fast-food restaurant located in the Northeast specializing in…

A: Solution Given  Sample size =n= 40 Sample mean = M= 20000 Population SD =a = 3000 1) Best point…

Q: most exhibition shows open early in the morning and closes late in the evening. a study of Saturday…

A: a) The time after the doors opened will 90%of the people who are coming to the Saturday show have…

Q: Analyze the following scenarios and FORMULATE A SITUATION where TYPE I and TYPE II errors will be…

A: Since the population characteristic(s) is being inferred through finite samples, it is highly…

Q: The shape of the distribution of the time required to get an oil change at a 15-minute oil-change…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: The Economic Policy Institute periodically issues reports on worker’s wages. The institute reported…

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

Q: sume that the distribution for the following scenario is normal. Use the standard normal table to…

A: Solution-: Given: μ=3262,σ=1100 We want to find P( a senior owes between $3000 and $4000)=?

Q: Need perfect answer for the following Find each of the probabilities, where z is a z-score from the…

A: a) The standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model…

A: Here, the population standard deviation is known. Hence, it is appropriate to use normal…

Q: Suppose the weights of seventh‑graders at a certain school vary according to a Normal distribution,…

A:

Q: Use technology to construct the confidence intervals for the population variance σ2 and the…

A: to calculate confidence interval for standard deviationci = (n-1) s^2 / ᴪ^2 right < σ^2 <…

Q: me sources report that the weights of full-term newborn babies in a certain town have a mean of 7…

A: Given:  X = Weight of new born babies  X follows normal distribution with mean = 7 pounds and…

Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 and a standard deviation of…

A: we have given that mu=1662 ,sigma =302 , n=50  X~N(mu=1662 , sigma^2=302^2) X is a normally…

Q: For each of the following situations, first determine whether you should use the normal or binomial…

A: It is given that the daily expenses of a family is given as the mean is $247.02 and standard…

Q: Johnson Electronics Corporation makes electric tubes. It is known that the standard deviation of the…

A: Given: x=2500σ=145n=105 The probability that the sample mean is within 22 hours of the mean life of…

Q: A recent analysis of the number of rainy days per month found the following outcomes and…

A: Solution x P(x) x*P(x) x2 x2*P(x) 3 0.4 1.2 9 3.6 4 0.2 0.8 16 3.2 5 0.4 2 25 10

Q: . What is the value of the standard deviation of the sampling distribution? A. 0.08 B. 0.4 C. 1.2…

A: We have given that  Standard deviation, σ = 0.4 Sample size, n = 25

Q: Use the empirical rule to find the following probabilities. Remember to draw a normal curve, label…

A:

Q: Camio Electronics Corporation makes electric diodes It is known that the standard deviation of the…

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

Q: a. What is the probability that a sample of 50 mill graduates will provide a sample mean within one…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

Q: he average prison sentence for a person convicted of second-degree murder is 16 years. If the…

A: Given data,μ=16σ=2.1P(X>19)=?

Q: For a normal distribution with a mean of µ=100 and a standard deviation of σ= 15, find each of the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Given X is a normally distributed random variable with a mean of 155 and a standard deviation of…

A:

Q: For a normal distribution with a mean of µ = 500 and a standard deviation of σ = 25, find each of…

A: Given that, Mean = 500 Standard deviation = 25

Q: For a normal distribution with a mean of 160 and a standard deviation of 10, what are the values…

A: Solution

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.