Math

StatisticsQ&A LibraryThe 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)Start your trial now! First week only $4.99!*arrow_forward*

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)

Tagged in

Math

Statistics

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...