A manufacturer claims that the mean lifetime of its lithium batteries is 1400 hours. A homeowner selects 35 of these batteries and finds the mean lifetime to be 1370 hours with a standard deviation of 70 hours. Test the manufacturer's claim. Use a = 0.05. Test Statistic = Round to thousandths place. P-Value = Round to thousandths place. Decision: Write 'Reject' or 'Fail to Reject'

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: The weights in ounces of newborn infants were recorded by a hospital. The weights were 88, 99, 82,…

A: Given data,   88, 99, 82, 81, 84 and 100   First find the sample mean. Mean:

Q: Seventy-six percent of Americans favor spending government money to develop alternative sources of…

A: Given that  p = 75%    and.   n = 140 By using the Binomial distribution

Q: Find the mean, 80th percentile and standard deviation: 2,-3,7,5,-2,3

A: Solution-: Given data: 2,-3,7,5,-2,3 We want to find, (a) The mean=? (b) The 80th percentile=? (c)…

Q: The highway mileage (mpg) for a sample of 8 different models of a car company can be found below.…

A:

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: The weight of football players is normally distributed with a mean of 200 pounds and a standard…

A: Given,mean(μ)=200standard deviation(σ)=25

Q: A large chemistry exam course took their final exam. The mean was 75 with a standard deviation of 8.…

A: Obtain the Z-score of the random variable X equals 60. The Z-score of the random variable X equals…

Q: A company manufactures batteries in batches of 6 and there is a 3% rate of defects. Find the mean…

A: Given Information: n= 6 p= 3%  To find out the the mean number of defects per batch.

Q: Find the range , the standard deviation, the variance for 45, 75, 84, 58, 81, 65 , 98,63,76

A: Range = Maximum - Minimum = 98 - 45 = 53   The standard deviation can be determined using the…

Q: A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the…

A: Vending machine dispenses coffee into a 12 ounce cupx=12standard deviation()=0.07

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A football kicker makes 70% of his field goals. If he attempts 20 field goals, determine the mean…

A: Determine the mean number of field goals made by football kicker. From the information, given that a…

Q: The GMAC Insurance company reported that the mean score on the National Drivers Test was 67.5 with a…

A:

Q: he highway mileage (mpg) for a sample of 8 different models of a car company can be found below.…

A: Ans#- The highway mileage (mpg) for a sample of 8 different models of a car company can be found…

Q: In some reports, the mean and coefficient of variation are given. For instance, one report gives the…

A: given data  cv = 1.9% μ = 3.2σ = ?

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: The z-score will be used to answer the given question. The formula for the z-score is z=x-μσ that…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: On a nationwide math test, the mean was 52 and the standard deviation was 4. If Roberto scored 85,…

A: The z score formula is,

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: Assume a series of n independent and identically distributed Bernoulli random i.i.d. variables: Bi…

A:

Q: In my Biology Class, to pass the course the minimum score must be 67. Biology class has a mean of…

A: Let, X= scores of the biology class Given that X follows a normal distribution with mean= 81 and…

Q: highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find…

A: given data, sample size=8we have to find out the mean , median, mode and  standard deviation for the…

Q: Given the data: 47, 55, 57, 63, 73. Find the standard deviation. Round the final answer to the…

A:

Q: Find the range & the standard deviation :  74,70,70,66,68,69,69

A: Given terms are 74,70,70,66,68,69,69

Q: A vending machine dispenses coffee into a twelve-ounce cup. The amount of coffee dispensed into the…

A: Normal Distribution:Normal Distribution:The normal distribution is a continuous probability…

Q: Write the steps of calculating the population standard deviation.

A: Standard deviation: The standard deviation is based on how much each observation deviates from a…

Q: A candy manufacturer has replaced 5.17% of their chocolate bars with a new mystery flavor. Find the…

A: Given: Sample size (n) = 424 p(chocolate bars with a new mystery flavor) = 5.17% = 0.0517

Q: Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the…

A: Solution: Let X be the waiting time. From the given information, x-bar = 2.7 hours, S=2.8 hours and…

Q: art professor gives an A to any student in the top 9% of the distribution. The grades are normally…

A: Given X~N(mean μ=60, standard deviations σ=5) P(X>b)=9%

Q: Place the following in order to show how you find the standard deviation. Take the square root of…

A: