Question

The lifetime of a certain type of battery is normally distributed with mean value 14 hours and standard deviation 1 hour. There are 9 batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages? (Round the answer to 2 decimal places)

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

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Data were collected on the amount spent by 100 customers for lunch at a major Houston restaurant. Th...

A: It is given that the population standard deviation  is $6, number of customers’ n is 100 and the con...

Q: In a study of 420,077 cell phone users, 107 subjects developed cancer of the brain or nervous system...

A: Given hypothesis test let p be the proportion of cellphone users develop cancer or brain or nervous ...

Q: At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to o...

A: (a) Calculation of confidence interval:The 95% confidence interval (CI) of the sample mean for a lar...

Q: Tamara is a physician who works in a city. She has a discussion with her colleague who believes that...

A: The correct options are: (A) and (C). Explanation:It is provided that the p-value is between 0.005 a...

Q: Listed below are amounts of arsenic in samples of brown rice from three different states. The amount...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ1 = µ2 = µ3Alternative hypothesis: µ1 ≠ µ...

Q: Compute r, the correlation coefficient, using the following data.  x 2 1 7 8 3 6 y 3 4 10 11 4 ...

A: In this question we have a given data for variable x and y, and we have to find the correlation coef...

Q: The data 17.7 33.5 26.3 22.9 21.4 e 28.9 24.2 18.3 27.9 21.2 19.2 22.121.6 37.7 37.4 presents the bo...

A: Frequency distribution:Frequency of an interval is the number observations that fall in that interva...

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

Q: A farmer wants to test if a new fertilizer will produce more massive crops. In order to do this, he ...

A: Paired t-test statistic:In order to test a hypothesis regarding whether the difference between a pai...

Q: Part b, c, d

A: Part b:Denote μ as the true mean breaking strength (after 24 hours) of the new bonding adhesive.The ...

Q: Do you have a great deal of confidence in the advice given to you by your medical doctor? About 35% ...

A: According to the provided information, sample size (n) = 37 and the population proportion of people ...

Q: (c) Explain why four students coming in late would not necessarily form a random sample. (Select all...

A: (c)A random sample represents the whole population properly.It can happen that some students will be...

Q: Need help with (d) part. Thank you.    statistical program is recommended. Electromagnetic technolog...

A: Part (d):The regression analysis is conducted here by using EXCEL. The software procedure is given b...

Q: For frecuency distribution for us governor 2019.  Party.                     Frequency Democratic.  ...

A: Given question have more than three sub parts. According to our policies cannot answer more than thr...

Q: Use the normal distribution of SAT critical reading scores for which the mean is 513513 and the stan...

A: NOTE:Since, the numbers on the values of mean and standard deviation are repeating twice (513513 and...

Q: How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and r...

A: In this question, we have the weighs of adult wild mountain lions, which is681071251276064 Using tha...

Q: What is a sampling distribution? What do we know about the shape and characteistics of the sampling ...

A: In a statistical investigation, we try to asses a general problem respect to one or more characteris...

Q: Select the statistic test that best fits each description. Comparison of mean reading test scores by...

A: Introduction to one-way ANOVA:One-way ANOVA is a statistical method for testing hypotheses regarding...

Q: 2. Previously, you studied linear combinations of independent random variables. What happens if the ...

A: Consider the provided information:μx ≈ 7.34,      σx ≈ 6.55,      μy ≈ 13.19,      σy ≈ 18.57,      ...

Q: Use a χ2​-test to test the claim σ2=0.49 at the α=0.10 significance level using sample statistics s2...

A: In order to test the hypothesis of H0: sigma square  is equal to 0.49  versus Ha: sigma square not e...

Q: Evaluate the following expression. Express your answer as a fraction or decimal number rounded to fo...

A: The required formulae to find the value of given expression is given below:

Q: A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this cla...

A: Test statistic calculation:In this context, a researcher claimed that the proportion of incidence of...

Q: If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stocha...

A: Both random variables have common probability space, we can clearly say that the expected value of X...

Q: There are six multiple-choice questions on an exam, each with three possible answers. (a) Determine ...

A: According to the given question, there are six multiple-choice questions on an exam, each with three...

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you bel...

A: According to previous evidence, the population proportion (p) is 36%, that is, 0.36.Here, the margin...

Q: How would I construct a stem and leaf plot using these numbers 57 54 52 55 51 56 61 68 56 55 54 61 5...

A: Introduction:The numbers here are all two-digit numbers. So, you can consider the digit in the ten’s...

Q: Suppose x has a normal distribution with mean μ = 28 and standard deviation σ = 7.Describe the distr...

A: Note:Hi there! Thank you for posting the question. Your question asks about the “distribution of x v...

Q: Suppose that you want to do statitical significance tests for fourcorrelations and you want your EWa...

A: According to the provided information, it is required to conduct statistical tests for four correlat...

Q: Find the mean, the median, the mode, and the midrange, the range, variance, standard deviation, 65th...

A: Hello there! According to our policies can answer one question . As there are multiple questions in ...

Q: Blank are more representative of a population, but blank are easier to obtain

A: The sample is a set of units that is obtained from a population, which represents the population. Th...

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98...

A: According to the empirical rule, in the standard normal curve, approximately 68% of the area is with...

Q: Question B

A: B)The variables whose level are set by the experimenter is the independent variable, which is called...

Q: Part a, b, c

A: Null and alternative hypothesis:Null Hypothesis:A null hypothesis is a statement regarding the popul...

Q: Describe when a given distribution is a probability distribution.

A: Let us assume X be a random variable such that X connected with the outcome of a random experiment w...

Q: Simple random sampling uses a sample of size from a population of size to obtain data that can be us...

A: The population size is denoted by ‘N’ and the sample size is denoted by ‘n’.Let the number of differ...

Q: A normal distribution has a mean of 10 and a standard deviation of 10. What is the number such that ...

A: The given information is that the scores distributed normally with mean 10 and variance is 49. The s...

Q: Find the critical value tc for the confidence level c=0.98 and sample size n=21

A:  The critical value tc for 98% confidence level with sample size 21:The confidence level is 98%. Tha...

Q: How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in te...

A: (a)Using the provided data, the sample mean and standard deviation can be calculated using Excel fun...

Q: A politician recently made the claim that 47% of taxpayers from a certain region do not pay any inco...

A: The aim is to identify the null and alternative hypotheses for testing the claim.

Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of who...

A: (A)The sample mean and standard deviation is calculated below:

Q: Claim: Most adults would erase all of their personal information online if they could. A software fi...

A: Test statistic:The test statistic for hypothesis test for proportion is given by:

Q: Write the equation of the line that passes through the points (0, 1) and (− 1, 3). Explain your solu...

A: The equation of the line is given by, y = mx+c, where m is the slope and c is the intercept.

Q: A set of data items is normally distributed with a mean of 40 and a standard deviation of 6. Convert...

A: Given set of data is normally distributed with mean = 40Standard deviation = 6The Z score for any da...

Q: directions construct a confidence interval of the population proportion at the given level of confid...

A: Confidence interval:It is given that n = 500 and x = 120.The (1−α)% confidence interval for proporti...

Q: The Toylot company makes an electric train with a motor that it claims will draw an average of only ...

A: The provided information are:

Q: A computer system uses passwords that contain exactly 6 characters, and each character is 1 of the 2...

A:  We have to make a password of 6 digits whose digits can be 26 lowercase alphabets, 26 uppercase alp...

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of P...

A: According to the given question, A and B be two events with probability P(A)=0.71  and P(B)=0.44 the...

Q: What’s the mean annual return of the S&P 400 Midcap Index over the past 7 years?  What’s the sta...

A: Hello there! there are more than three sub parts in the given question. According to our policies we...

Q: A contingency table for injuries in the United states, by circumstances and gender, is a follows. Fr...

A: Calculation for part (a):The contingency table is given for injuries.For any event A, the probabilit...

Q: 1. Field tests if a low-calorie sport drink found that 80 of the 100 who tasted the beverage preferr...

A: Test whether there is enough evidence to conclude that the company should launch the product.State t...