The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 58 and a standard deviation of 4. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 46 and 58? Do not enter the percent symbol.ans = %

Question

The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 58 and a standard deviation of 4. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 46 and 58?

Do not enter the percent symbol.
ans = %

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Table IV in Appendix A contains degrees of freedom from 1 to 75 consecutively but then contains only...

A: a)The entries for all possible degrees of freedom are not provided  because we can determine the t v...

Q: A confidence interval for a population mean has a margin of error of 0.047. a. Determine the length ...

A: a. Length of the confidence interval: The value of margin of error in the confidence interval is tre...

Q: Diastolic blood pressure in adults is normally distributed with m = 80 mm Hg and s = 12 mm Hg. In a ...

A: The probability that diastolic blood pressure below 70 mm Hg is,

Q: Drone Deliveries Based on a Pitney Bowes survey, assume that 42% of consumers are comfortable having...

A: From the given information:The probability that the consumers are comfortable having drones is p = 0...

Q: Explain the meaning of the term hypothesis as used in inferential statistics.

A: Hypothesis testing:         Hypothesis testing was introduced by R.A.Fisher (Ronald Fisher).It is a ...

Q: Identity Theft with Credit CardsCredit card numbers typically have 16 digits, but not all of them ar...

A: a.The number of ways in which 10 digits can be generated is, 1016 ways.The probability of randomly g...

Q: In this section we introduced a descriptive measure of the utility of the multiple linear regression...

A: a.Multiple regression is an extension of simple linear regression. It is used to predict the value o...

Q: A random sample of 386 married couples found that 294 had two or more personality preferences in com...

A: Confidence interval:The (1-α)100 % confidence interval for proportion p1 – p2 is given by,

Q: In each of Exercises, answer true or false to each statement concerning a confidence interval for a ...

A: The margin of error for each confidence interval (E) is obtained as follows:

Q: A variable is normally distributed with mean 6 and standard deviation 2. Find the percentage of all ...

A: It is given that the mean is 6 and standard deviation is 2.

Q: In each of Exercises, explain the effect on the margin of error and hence the effect on the accuracy...

A: Formula for the margin of error is given by

Q: Does the sample size have an effect on the standard deviation of all possible sample means? Explain ...

A: Sampling distribution of a sample mean:

Q: Blood Pressure and Platelets Given below are the systolic blood pressure measurements (mm Hg) and bl...

A: Here, the association between systolic blood pressure and blood platelet has to be obtained.

Q: Why is the standard normal curve sometimes referred to as the z-curve?

A: In this case, we need to explain the reason for the standard normal curve, which is sometimes referr...

Q: Simulating Dice When two dice are rolled, the total is between 2 and 12 inclusive. A student simulat...

A: Consider the experiment of rolling two dice. There are 36 equally likely outcomes. The sum of the nu...

Q: Answer true or false to each statement. Give reasons for your answers. a. Two variables that have th...

A: (a)Here, it is observed that the different types of distributions have the same mean and standard de...

Q: Suppose that a simple random sample is taken from a normal population having a standard deviation of...

A: a) From the provided information, the sample size (n) = 4The standard deviation (σ) = 10The z value ...

Q: Suppose that you intend to find a 95% confidence interval for a population mean by applying the one-...

A: The z value at 95% confidence level from the standard normal table is 1.96.Let σ is the population s...

Q: ATM You want to obtain cash by using an ATM machine, but it’s dark and you can’t see your card when ...

A: a. Probability of selecting a random position and inserting the card with the result that the card i...

Q: The P-value for a hypothesis test is 0.06. For each of the following significance levels, decide whe...

A: Decision criterion:If the p-value of the test is less than or equal to the level of significance, re...

Q: Bar Graph Fox News broadcast a graph similar to the one shown here. The graph is intended to compare...

A: From the given question,The bar graph shows the correct and clear picture of the data that is, it sh...

Q: Advertising and Sales. Use the technology of your choice to do the following. a. Obtain the scatterp...

A: a.The scatterplot matrix for the given data is constructed using R:R-Code:

Q: For what is normal population an abbreviation?

A: When the term normal population is used, the abbreviation of the context is that the population that...

Q: A curve has area 0.613 to the left of 65 and area 0.287 to the right of 65. Could this curve be a de...

A: Given The area to the left of 65 = 0.613The area to the right of 65 = 0.287Total area = 0.613 + 0.28...

Q: Approving Nuclear Reactors. Suppose that you are performing a statistical test to decide whether a n...

A: Type II error is also known as beta error.A type II error is that the probability of rejecting an al...

Q: Two thousand frequent business travelers were asked which Midwestern city they prefer: Indianapolis,...

A: The frequency table for the given data is shown below:

Q: In each of Exercises, answer true or false to each statement concerning a confidence interval for a ...

A: The margin of error for each confidence interval (E) is obtained as follows:

Q: How many samples of size 3 are possible from a population of size 10?

A: The combination is a selection of items from a collection, such that the order of selection does not...

Q: In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, wh...

A: Given that,Sample size=25Sample data shows three outliers but is otherwise roughly linear. Populatio...

Q: *Sweet Sixteen. In the NCAA basketball tournament, 64 teams compete in 63 games during six rounds of...

A: The formula for combination is given below:

Q: A data set with whole numbers has a low value of 20 and a high value of 89.Find the class width for ...

A: Click to see the answer

Q: Identifying Binomial Distributions.  In Exercises 5–12, determine whether the given procedure result...

A: Conditions for a binomial experiment:The number of observations n is fixed.Each observation is indep...

Q: For the one-mean t-interval procedure, express the formula for the endpoints of a confidence interva...

A: The formula for a mean t-interval procedure is given as follows:

Q: Determine 0!, 1!, 3!, and 4!.

A: Factorial Rule:The total number of ways n different objects can be arranged where order of the objec...

Q: State the two basic properties of every density curve.

A: A density curve is a smooth curve, used to identify the shape of the distribution.It represents the ...

Q: Casino Games When betting on the pass line in the dice game of craps at the Mohegan Sun casino in Co...

A: Note:Hey there! Thank you for posting the question. However, since the given probability distributio...

Q: In the past, the value of houses a local realtor has sold is normally distributed with a mean of $25...

A: It is given that the value of houses is normally distributed with mean 252,000 and standard deviatio...

Q: What plots did we use in this module to decide whether it is reasonable to presume that assumptions ...

A: The residual plots are useful to decide if the assumptions for multiple linear regression inferences...

Q: Annual Income. Refer to Problem 18. OutputsA.22(a), (b), and (c) on page A-62 display, respectively,...

A: Click to see the answer

Q: What is a density curve, and why are such curves important?

A: Click to see the answer

Q: In Exercises, we have given the value obtained for the test statistic, z, in a one-mean z-test. We h...

A: a)P-value:Here, z=–1.66

Q: Define sampling error.

A: In this case, we need to define definition of the sampling error.

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always...

A: The requirements for a discrete probability distribution are,

Q: Here is a data set that has a nearly normal distribution. data data data data 70.72 59.02 53....

A: Given data

Q: Express the quartiles, Q1, Q2, and Q3, of a normally distributed variable in terms of its mean, µ, a...

A: First Quartile (Q1)From the given information the first quartile is represented by 25th percentile a...

Q: Grade Prediction. The Statistics Department at a large university would like to predict the final gr...

A: Predictor variable :- It is the independent variable in the regression equation, which explains the ...