The hardness of a certain rubber (in degrees Shore) is claimed to be 65. Fourteen specimens are tested, resulting in an average hardness measure of 63.1 and a standard deviation of 1.4. Is there sufficient evidence to reject the claim, at the 5% level of significance? What assumption is necessary for your answer to be valid?

Q: Can repressed anger lead to higher blood pressure? In a hypothetical study, 16 college students with…

A: Let, X be mean blood pressure. Given, n= sample size = 16 μ = population mean= 120 σ = population sd…

Q: A quantitative data set of size 150 has mean 35 and standard deviation 4. At least how many…

A:

Q: the average height of grade 10 students is 148 cm. a sample of 250 students had an average heigh of…

A: Given: μ=148Sample size, n=250sample mean, x¯=148.3sample sd, s=8

Q: "For a population with a mean = 375 and a standard deviation = 25, what is the X value corresponding…

A: From the provided information, Mean (µ) = 375 Standard deviation (σ) = 25 X~N (375, 25)

Q: Claim: The standard deviation of pulse rates of adult males is more than 12 BPM. For a random sample…

A: Given  Ho: σ=12 vsH1:σ>12 n=155, s=12.8 We want to find the test statistic

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A: The sample standard deviation (s) is equal to the ratio of standard deviation of the population σ…

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A: We want to find the sample size

Q: The distribution of scores on the SAT is approximately normal with a mean of u = 500 and a standard…

A: Mean(μ)=500 Standard deviation(σ)=100 The objective is to find the min. SAT score needed to be…

Q: In a survey sample of 83 respondents, the mean number of hours worked per week is 39.04, with a…

A: The sample size is 83, mean is 39.04, and standard deviation is 11.51.

Q: Based on a sample of 25 people, the sample mean GPA was 2.05 with a standard deviation of 0.07 The…

A:

Q: A given distribution has a population mean, μ, of 131 and a population standard deviation, σ, of 14.…

A: Given information Mean = 131 Standard deviation = 14

Q: A given distribution has a population mean, μ, of 114 and a population standard deviation, σ, of 12.…

A:

Q: The contents of 40 cans of Coke have a mean of 12.15 fl oz and a standard deviation of 0.09 fl oz.…

A: Given, mean, x= 12.15 fl oz  standard deviation, σ = 0.09 fl oz population mean, μ = 12 fl oz X ~…

Q: On a recent quiz, the class mean was 76 with a stanbard deviation of 3.1. Calculate the z score (to…

A:

Q: At my work there is a fancy coffee machine that dispenses 120 ml of coffee, but I believe that the…

A: Given data and calculation for sample standard deviation is shown below Hypothesized mean = 120 ml…

Q: A shop owner claims that on average, his shop has a daily turnover of R75 000. Test this claim at…

A: The answer is attached below,

Q: A quantitative data set of size 70 has mean 25 and standard deviation 33. At least how many…

A: It is given that the mean and standard deviation of the data set are 25 and 33, respectively. The…

Q: A distribution is given as X ~ U(0, 12). What is the theoretical standard deviation?

A: concepts and reasonuniform distribution is a continuous probability distribution.it is defined…

Q: A company pays its employees an average wage of $22.50 an hour with a standard deviation of $2.30.…

A: The z score is used to test the probability of normal distribution. It is also known as standard…

Q: A given distribution has a population mean, μ, of 142 and a population standard deviation, σ, of 11.…

A:

Q: The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of…

A: Mean = 98.2 Standard deviation =0.48

Q: A quantitative data set of size 80 has mean 45 and standard deviation 2. Approximately how many…

A: The given values are, The formula for calculating the value of k is, The values of k are,

Q: A group of male basketball players has a mean height of 79 inches and a standard deviation of 1.7…

A: Introduction: Denote X as the height of a randomly chosen male basketball player. A group or sample…

Q: The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below.…

A: 0 0.15 0 0 0 1 0.20 0.2 1 0.2 2 0.30 0.6 4 1.2 3 0.10 0.3 9 0.9 4 0.20 0.8 16 3.2 5 0.05…

Q: o lead et- The body temperatures of a group of healthy adults have a bell-shaped distribution with a…

A: Empirical rule: According to the empirical rule, approximately 68% of the data set falls within one…

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Given Information: If a distribution of test scores is normal, with a mean of 78 and a standard…

Q: . A hat company found women had a mean head circumference of 57.46 cm and a standard deviation of…

A: According to empirical rule 95% of the data lie within 2 standard deviation and approximately 99.7%…

Q: A given distribution has a population mean, µ, of 106 and a population standard deviation, ơ, of 15.…

A: It is given that Mean = 106, SD = 15 And value x = 134

Q: A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with…

A: From the provided information, Mean (µ) = 21.002 Standard deviation (σ) = 0.006 X~N (21.002, 0.006)…

Q: A quantitative data set of size 80 has mean 30 and standard deviation 6. Approximately how many…

A: From the provided information, Population size (N) = 80 Mean (µ) = 30 Standard deviation (σ) = 6 X~N…

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A:

Q: Answer the following by using the z-table from class. Roadworthy tires last an average of 30,000…

A:

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: If a distribution of test scores is normal, Mean = 78 Standard deviation = 11

Q: A nurse at a local hospital is interested in estimating the birth weight of infants. How large a…

A:

Q: For a population with  = 150, a raw score of X = 125 corresponds to z = -2.00.  What is the standard…

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

Q: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 9.…

A: Solution: Let X be the random variable. From the given information, X has a population mean µ=144…

Q: Given a sample with a mean of 78 and a standard deviation of 14, find x such that Pr(X < x) = 0.70.…

A: We have to find x such that Pr(X &lt; x) = 0.70

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

A: Given:  population mean of random variable x is =50 and standard deviations=8  then find z score…

Q: The average square footage of a US single-family home is 2000 square feet With a standard deviation…

A: The Chebychev's rule states that at least 1-1k2100% lie within k standard deviations from mean, that…

Q: A given distribution has a population mean, μ, of 137 and a population standard deviation, σ, of 15.…

A: Given, μ=137 σ=15 x = 110 z=?

Q: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 12.…

A: A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 12.…

Q: When samples of size 30 are collected from a normal population that has a mean of 200 and a standard…

A:

Q: The manufacturer of an extended-life lightbulb claims the bulb has an average life of 13,000 hours…

A: Given Information: Mean Life (u) = 13000 hours Standard Deviation (s) = 1000 hours

Q: The standard deviation of the base price of a certain type of all-terrain vehicle is equal to $322.

A:

Q: A major credit card company has determined that the amount its customers charge on their accounts is…

A: (15) Obtain the proportion of customers charge more than R2750 per month on their account. The…

Q: The manufacturer of an extended-life lightbulb claims the bulb has an average life of 13,000 hours…

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

Q: A given distribution has a population mean, μ, of 143 and a population standard deviation, σ, of 6.…

A: we have given that  mean (μ) =143 ,standard deviation(σ)=6   and  ,   X=112 and X ~N(μ=143 ,σ^2 =36)…

Q: A given distribution has a population mean, μ, of 138 and a population standard deviation, σ, of 9.…

A: