The FleetFoot Shoe company claims that the average yearly salary of its workers is $29,800. The Union believes that the average is much less. A random sample of 57 employees shows their average salary to be $29,500 with a population standard deviation of $1200. Test the hypothesis using a 3% level of significance. Using the classical approach: (Step 4) Find the Z-value: -1.89 -1.90 -1.87 -1.88

Q: For a sample with M= 80, a score of X= 88 corresponds to z =2. what is the sample standard deviation…

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Q: Experience has shown that the value of orders placed by customers of Handy Glass Pty is normally…

A: From the provided information, Mean (µ) = 200 Standard deviation (σ) = 755 Sample size (n) = 85

Q: A. In a test of a lifelong brand of tires, a survey revealed that the mean life was 35,000 miles and…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A: Sample size n=700 Sample mean x¯=640 Population Standard deviation σ=300

Q: A doctor measured serum HDL levels in her patients, and found that they were normally distributed…

A: Given serum HDL levels in patients are normally distributedmean = 62standard deviation = 3.6The Z…

Q: In a study of distances traveled by buses before the first major engine failure, a sample of 191…

A: It is given that the sample mean is 96,700 and the sample standard deviation is 37,500.

Q: In a sample distribution, X=56 corresponds to z=1.00, and X=47 corresponds to z=-0.50. Find the mean…

A: Given,  X=56 corresponds to z=1.00 X=47 corresponds to z=-0.50 wktz=x-μσX=zσ +μ

Q: The manufacturers of Oriental Spice Sauce are concerned that the sodium levels in their products…

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Q: A company that manufactures laptop batteries claims the mean battery life is 16 hours. Assuming the…

A: Note:- Options are not given properly. I have find the test statistic for you. Please match it with…

Q: In a two - tailed test, given that the population mean is 40 with a standard deviation of 2.5. A…

A:

Q: For example with m= 80, a score of x = 88 corresponds to z = 2.00.  What is the sample standard…

A: GivenMean(M)=80x=88z-score(z)=2.00

Q: W 4. A cell phone company claims that the average time a person spends on their phone is 12.8 hours…

A: Let μ denote the population mean and x⎯⎯ denotes the sample mean. Then, μ=12.8 and x⎯⎯=12.2 Let n be…

Q: In the past the standard deviation of weights of certain 40.0 oz packages filled by a machine was…

A: From the provided information, Sample size (n) = 20 Sample standard deviation (s) = 0.32

Q: An automobile manufacturer has given its van a 31.0 miles/gallon (MPG) rating, An independent…

A: Given information Sample mean x̅ = 31.2 miles/gallon Population mean µ = 31.0 miles/gallon Sample…

Q: The senior Class of 2012 at Rancho High strongly believesthat they have better grades than their…

A: The paired t-test is used when: the sample sizes are equal. two samples are independent but the…

Q: From a normally distributed population, we took a simple random sample of 700 students with a mean…

A:

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

A: From the given information the z statistic is obtained as 1.66 standard deviation above the mean.

Q: In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national…

A: The summary of statistics is, The value of effect size Cohen’s d is, Interpretation: The value of…

Q: Crispy Biscuit Manufacturers label the calorie content of 400 cal per 250 gram package. The Consumer…

A: Given Information: Sample size (n) = 100 Sample mean (x¯) = 406 cal Sample standard deviation (s) =…

Q: )A potato chip manufacturer has found that in the past the standard deviation of bag weight has been…

A:

Q: A previous study claims that the average time a teenager spends browsing his social media accounts…

A: Sample size(n)=100 Population mean(μ)=6 Sample mean(x)=5.5 Standard deviation(σ)=0.5

Q: A sample has a mean M = 55. In the sample, a score of X = 48 corresponds to z = -1.50. What is the…

A:

Q: For a population with a mean of μ = 24 and a standard deviation of σ = 14, find the z-score…

A: Given,mean(μ)=24standard deviation(σ)=14sample size(n)=4sample mean(M)=26

Q: with a sample average of 80 and a raw score of 76. Would you prefer a standard deviation of s=2 or…

A: A standard deviation of s=2 is preferred.

Q: In the past Algebra classes, records show that the average score of the students in the mid-term…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Let, X=…

Q: A sample of n = 5 scores has Σ X = 20 and Σ X2 = 180. For this sample, what is the value of the…

A:

Q: A previous study claims that the average time a teenager spends browsing his social media accounts…

A:

Q: A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is…

A:

Q: Use the output provided in the formula sheets folder. Using the reduced model, what is the value of…

A: Based on given output we have to determine the estimate of standard deviation i.e S

Q: Here is a POPULATION of scores: 4 2 3 2 30. What is the standard deviation for this population of…

A:

Q: H :µ> 2800 H : µ< 2800 (i) Find its degree of freedom. (2 marks) By using 5% level of significance,…

A:

Q: In the population, the average IQ is 100 with a population standard deviation (o) of 15. A team of…

A: Given: In the population, the average IQ is 100 with a population standard deviation of 15.  A team…

Q: Two samples, each with n = 16 scores, produce an estimated standard error of 4 points and a t…

A: According to the provided information, n=16 SE = 4  t = 2

Q: Nationwide, the average salary of actuaries who achieve the rank of Fellow is $155,000. An insurance…

A: Given, μ=155,000 x-=152,000 s=7,000 n=15 α=0.01

Q: A doctor measured serum HDL levels in her patients, and found that they were normally distributed…

A:

Q: 1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now,…

A: Given that  Sample size n =50 Sample mean =871 Standard deviation =21 Population mean μ =880

Q: In a hypothesis test about a population mean with a known population standard deviation, of H0 : µ =…

A: Introduction: The null and alternative hypotheses for testing for a population mean are given as:…

Q: In a population with m=60, a score of X=58 corresponds to a z-score of z=-0.50. What is the…

A:

Q: A local university administers a comprehensive examination to the recipients of a B.S. degree in…

A: The sample standard deviation can be calculated as:

Q: A firm specializing in the preparation of income tax returns, claims the mean refund for customers…

A: State the hypotheses.

Q: Returning to the sample of adult women, with a sample mean height of x¯=64.3 inches and sample…

A:

Q: A doctor measured serum HDL levels in her patients, and found that they were normally distributed…

A: Given mean= 63.3  And standard deviation = 3.9  a)

Q: you obtained a random sample of blood glucose levels from 32 individuals from a population and the…

A:

Q: For a population with mean of 50 and standard deviation of 8, what is the z- score that corresponds…

A:

Q: ACTIVITY 2: Anna Garcia, the manager of EG Manufacturing Company believes that the average daily…

A:

Q: In a sample distribution, a score of x = 21 corresponds to z = -1.00 and a score of x = 12…

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

Q: On an exam with u = 52, you have a score of X = 56. Which value for the standard deviation would…

A: We have given that µ = 52 x = 56 z-score formula is given as  z =( x - μ )/σ

Q: For a sample, a score that is 12 points above the mean has a z-score of z = 1.20. What is the sample…

A: We have to find sample standard deviation

Q: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth…

A: From the given information, the null and alternative hypotheses are: Null hypothesis: H0: μ ≤…

Q: The average test scores in a Science class is normally distributed with a standard deviation of 8.…

A: Given: σ=8.2 and x=170 The value of z at 95% confidence level is z=1.96.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.