A manufacturer claims that the mean lifetime,  μ , of its light bulbs is  55  months. The standard deviation of these lifetimes is  6  months. Forty-two bulbs are selected at random, and their mean lifetime is found to be  58  months. Assume that the population is normally distributed. Can we conclude, at the  0.05  level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from  55  months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic: (Round to at least three decimal places.)   The two critical values at the  0.05  level of significance: (Round to at least three decimal places.) and Can we conclude that the mean lifetime of light bulbs made by this manufacturer differs from 55 months?   Yes     No

Q: The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.6 mg,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A population of normally distributed data has a mean of 200 and a standard deviation of 20. Assuming…

A:

Q: n a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average…

A:

Q: In a mid-size company, the distribution of the number of phone calls answered each day by each of…

A: Answer: X ~ Normal distribution X~ N (μ, σ) The given values are Mean = μ = 40 Standard deviation= σ…

Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A: The mean is 24 and the standard deviation is 3.

Q: A motorcar industry research study found that the tyre lifespan for economic sedan cars is normally…

A:

Q: A researcher is examining the gradate student lifestyle at UNCG, and wants to find out how many…

A: (a) The sample size is, n = 144; the sample standard deviation is, s = 3. Since the population…

Q: The CEO of a large financial institution claims that, on average, their clients invest more than…

A: Given sample details : Sample Mean (Xˉ)(\bar X) = R74 000 Sample Standard Deviation (s)(s) = R7 000…

Q: An electrical company claims that the average life of the bulbs it manufactures is 1 300 hours with…

A: The mean is 1,300 and the standard deviation is 260 hours.

Q: If a random sample of 20 homes south of a town has a mean selling price of $145,175 and a standard…

A: (a) Let μ1 be the population mean selling price of homes south of a town, and μ2 be the population…

Q: In​ 2008, the per capita consumption of soft drinks in Country A was reported to be 19.11 gallons.…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: In a recent survey of high school students, it was found that the average amount of money spent on…

A:

Q: A manufacturer of car batteries claims that the life of the company’s batteries is approximately…

A: Hypothesis concerning a population variance; Suppose y1.y2........yn are the random sample from…

Q: h individual lines at its various windows, a post office finds that the standard deviation for…

A: The SD for waiting times of customers is 3.97 minutes;σ=3.97 A random sample of 14 customers with…

Q: The supervisor of a production line believes that the average time to assemble an electronic…

A: Given data, μ=14 x=11.6 σ=3.4n=14z=?

Q: researcher claims that the stomachs of blue crabs from Location A contain more fish than the…

A: Given : Claim : The stomachs of blue crabs from Location A contain more fish than the stomachs of…

Q: The mean tar content of a simple random sample of 25 unfiltered​ king-size cigarettes is 20.8 ​mg,…

A: Given: n1=25x¯1=20.8s1=3n2=25x¯2=13.0s2=3.9

Q: A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49…

A:

Q: Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed…

A: Thank you for posting this question ! You have correctly chosen that a z test needs to be performed…

Q: According to the U.S. Department of Agriculture's World Livestock Situa- tion, the country with the…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 147,…

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X be number of calls received per hour. Given: μ=190,  and σ=20 We need to find the PX<163

Q: A fast food chain advertises that their large bag of French fries has a weight of 150 grams.  Some…

A: State the hypotheses.

Q: Suppose a paint manufacturer has a daily production, X, that is normally distributed with a mean of…

A: Given: X~N(μ,σ)μ=100000σ=10000

Q: Suppose in a city of 100,000 residents, a survey was conducted with size of 1650. If Forty-two…

A: GivenThe sample size = 1650The percentage of population opposes the new taxes for the geothermal…

Q: Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 56…

A: The Z-score of a random variable X is defined as follows: Z=(X–µ)/σ Here, µ and σ are the mean and…

Q: in one region, the September energy consumption level for single-family homes are found to be…

A:

Q: A fashion industry analyst wants to prove that models featuring Liz Claiborne clothing earn on…

A: Let μ1 denotes the average amount earned per month by Liz Claiborne models and μ2 denotes the…

Q: Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed…

A: Null and the alternative hypothesis: The type of test is right tailed test The value of z-test…

Q: A researcher claims that the stomachs of blue crabs from Location A contain more fish than the…

A: Denote μ1, μ2 as the true mean amount of fish contained in stomach of blue crabs from location A and…

Q: A small computing center has found that the number of jobs submitted per day to its computers has a…

A: Let X be a random variable such that X: Number of jobs submitted per day to its computers We know,…

Q: BIG Corporation produces just about everything but is currently interested in the lifetimes of its…

A: Given: Sample Size n=1000Mean x¯=889Standard Deviation s=97

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 468…

A: Given values, Now, calculate the z value

Q: A researcher claims that the stomachs of blue crabs from Location A contain more fish than the…

A: Given, Denote μ1, μ2 as the true population mean weights of fish in the stomachs of blue crabs from…

Q: Which most closely reflects the probability that a randomly selected bulb would last fewer than 940…

A: Let X denote the life of bulb. Given that X follows N(mean = 1000, SD = 50), then Z = (X - mean)/SD…

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 568…

A: Givan Mean=568 standard deviations=76

Q: The AAA reports that the average time it takes to respond to an emergency call is 25 minutes. Assume…

A:

Q: An automobile battery manufacturer claims that its mid grade battery has a mean life of 50 months…

A: Mean is 50 and a standard deviation is 6.  Sample size 36.

Q: An electrical appliance made by company A has an average life of 2500 hours, with a standard…

A: Given : μ1 = 2500μ2 = 2300n1 = 300n2 = 200σ1 = 500σ2 = 800

Q: Nationally, the population as a whole watches 6.2 hours of TV per day. A random sample of 1,017…

A: Nationally, the population as a whole watches 6.2 hours of TV per day. Suppose, X be the daily…

Q: A courier services company has found that the delivery time for packages is normally distributed,…

A: Given : μ = 14 σ = 2 P(12≤X≤15) = P(X≤15) - P(X≤12)  P(12≤X≤15) = PX-μσ≤15-μσ - PX-μσ≤12-μσ…

Q: A potential buyer wants to decide which of the two brands of electric bulbs he should buy as he has…

A:

Q: A manufacturer claims that the light bulbs that they produce have a mean lifetime of 1,200 hours and…

A: It is given that, A manufacturer claims that the light bulbs that they produce have a mean lifetime…

Q: An electrical company  claims that the average life of the bulbs it manufactures is 1200 hrs. with…

A:

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

A: Given information Sample mean x̅ = 98 Population mean µ = 100 Sample size = 35 Standard deviation =…

Q: An electrical firm manufactures light bulbs that have a lifetime that is approximately normally…

A:

Q: taxi company tested a random sample of 10 steel-belted radial tires of a certain brand and recorded…

A: Given that  Tread wear data 48,000; 53,000; 45,000; 61,000; 59,000; 56,000; 63,000; 49,000; 53,000;…

Q: A researcher reports that the average salary of assistant professors in a certain state is $42,000.…

A: Hypothesized Population Mean, μ0 = $42000 Sample size, n = 30 Sample mean , x¯ = 43260 sample…

Q: At a certain beer bottling plant, the amount of beer that is put in a bottle is known to be…

A:

Q: The mean tar content of a simple random sample of 25 unfiltered​ king-size cigarettes is 21.4 ​mg,…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: In one region, the September energy consumption levels for single-family homes are found to be…

A: we have to use z table to solve.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.