A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 13 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 99 bolts. The sample mean bolt length was 13.08 centimeters. The population standard deviation is known to be o = 0.27 centimeters. What is the test statistic z? What is the p-value? Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of a = 0.1?

Q: Systolic blood pressure levels above 120 mm Hg are considered to be high. For the 100 systolic blood…

A: Givensample size(n)=100Mean(x)=122.70000standard deviation(s)=15.35933significance level(α)=0.10

Q: A recent survey reported that small businesses spend 24 hours a week marketing their business. A…

A:

Q: A bottling company produces bottles that hold 10 ounces of liquid. The company gets complaints that…

A: Given that: μ=10 Number of samples: n= 24 Average of the liquid: x=9.8 standard deviation: σ=0.3

Q: A recent survey reported that small businesses spend 20 hours a week marketing their business. A…

A: From the provided information, Sample size (n) = 83 Sample mean (x̄) = 19.1 Population standard…

Q: On their website, a property management company states that the mean monthly rent for apartments on…

A: a) The test hypotheses are: Null hypothesis: H0: μ = 700 Alternative hypothesis: H1: μ < 700

Q: Statewide, the average score on the verbal portion of the college entrance exam is 453, with a…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: The average cost of tuition plus room and board for a small private liberal arts college is reported…

A: We have given that  Sample size n =350 Sample mean = 8745  Population standard deviation =1200

Q: A recent survey reported that small businesses spend 24 hours a week marketing their business. A…

A: Given information: Sample size(n)=80. Sample mean(X¯)=23.0 Population standard deviation(σ)=5.4.…

Q: Realtor Elaine Snyderman took a random sample of 12 homes in a prestigious suburb of Chicago and…

A: Given, Null Hypothesis(H0): μ = 825000 Alternate Hypothesis(Ha) : μ < 825000 α = 0.05 x¯ = 780000…

Q: An employer claims that full time employees have a mean income of $35,000. A sample of 200 employees…

A: From the provided information, The hypotheses can be constructed as: Null hypothesis: H0: µ =…

Q: A food company is concerned that its 16-ounce can of sliced pears is not being filled correctly. The…

A: State the hypotheses That is, the mean weight is equal to 16 ounces. That is, the mean weight is…

Q: "According to Dietary Goals for the US (1977), high sodium intake may be related to ulcers, stomach…

A: Claim : the average sodium content for a single servings of noodles is less than 220 milligrams.

Q: At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,543…

A: Solution: Given: Sample mean is = x= 7243 and the known population standard deviation is σ = 1080…

Q: The quality-control manager at a light emitting  diode (LED) factory needs to determine whether the…

A: Given :  Claim : The mean life is different from 50,000 hours.

Q: The amount of money raised by Clayton State teams for the Statistics Games is normally distributed,…

A: As per our guidelines we are suppose to answer only one question. Given,mean(μ)=$360standard…

Q: A recent survey reported that small businesses spend 26 hours a week marketing their business. A…

A:

Q: The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine…

A:

Q: A tool company claims that the mean number of defective screws they produce per box is 72. The mean…

A:

Q: The average cost of tuition plus room and board for a small private liberal arts college is reported…

A: It is given that the population standard deviation is $1,200 and sample mean is $8,757 and sample…

Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A:

Q: The heights of American men are normally distributed with a mean of 65.3 inches and a standard…

A: We have given that  Mean(µ) = 65.3Standard deviations (σ) = 2.6X ~ N (µ, σ )= N(65.3, 2.6) z-score…

Q: A recent report indicates that 2-year-old children from well-educated suburban families watched an…

A: It is given that the mean is 60 and standard deviation is 25.

Q: The physical plant at the main campus of a large state university receives daily requests to replace…

A: We want to find the probability by using emperical rule

Q: The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine…

A:

Q: On their website, a property management company states that the mean monthly rent for apartments on…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: The credit manager of a department store chain believes that the average age of charge-account…

A: Given two problems related to hypothesis testing. We have to solve the problems as indicated.

Q: The police department of a U.S. city reported that the mean number (μ) of auto thefts per…

A:

Q: The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine…

A:

Q: A random sample of 50 public school teachers in Georgia had a mean annual salary of $48,300. Assume…

A: The hypotheses for the test is given below.Null hypothesis:H0: µ = $50,000Alternative hypothesis:H1:…

Q: A 7,000-seat theater is interested in determining whether there is a difference in attendance…

A: Solution: Let X1 be the attendance on Tuesday evening, X2 be the attendance on Wednesday, n1 be the…

Q: The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine…

A: Given Information: Mean life of a large shipment of CFLs is equal to 7,537 hours. i.e., μ0=7,537…

Q: A dairy farm uses the somatic cell count (SCC) report on the milk it provides to a processor as one…

A: Denote μ as the population mean SCC of all milk produced.

Q: The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine…

A:

Q: A recent survey reported that small businesses spend 26 hours a week marketing their business. A…

A: We have to find test statistic.  z = x¯-μσn Where , x¯ is sample mean  σ is population standard…

Q: The average cost of tuition plus room and board for a small private liberal arts college is reported…

A: State the hypotheses.

Q: AARP claims the average annual expenditure for Americans age 50+ on restaurant food in 2008 was…

A: Given: n=32, μ=$2130, x=$1945, σ=$800 The hypothesis is, H0:μ=$2130Ha:μ<$2130 This corresponds to…

Q: The average cost of tuition plus room and board for a small private liberal arts college is reported…

A:

Q: A dairy farm uses the somatic cell count (SCC) report on the milk it provides to a processor as one…

A: Claim : The mean SCC of all milk produced at the dairy exceeds that in the previous report, 210,250…

Q: The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine…

A:

Q: In a particular city, the average annual salary for secretaries is $28,000.   A sample of 50…

A:

Q: A random sample of 100 observations from a quantitative population produced a sample mean of 28.0…

A: From the provided information, Sample size (n) = 100 Sample mean (x̄) = 28.0 Standard deviation (s)…

Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A:

Q: A consumer protection group suspects that a particular 285-gram packages of tofu actually weighs…

A:

Q: The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine…

A: a. Claim: the mean life of a large shipment of CFLs is equal to 7,476 hours.

Q: The heights of German men are normally distributed with a mean of 67.9 inches and a standard…

A: a) Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: For a sample of 60 women taken from a population of over 5,000 enrolled in a weight- reducing…

A: Given, n = 60 x¯ = 101, s = 42, α=0.02

Q: A cigarette manufacturer claims that its brand of cigarette contains on the average 5mg of tar and…

A: Given : n=25 , X-bar=6  , s=2 , μ0=5  Assume that , α=0.05 Here , we want to test the cigarette…

Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A: Given that, Mean = 46 Standard deviation = 7

Q: Cushman and Wakefield reported that the average annual rent for office space in Tampa was $17.63 per…

A: H0 : ? =17.63     H1 : ? ≠17.63     Population mean = ? = 17.63 Sample S.D = s =3.64…