a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, x = 14.9 mm and a standard deviation, s = 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, with reasons, whether a t-test or a z-test will be appropriate. (Determine the rejection region(s) of the test.
Q: the claim that the mean breaking strength has increased
A: Given : n=18 , X-bar=1919 , σ=70 , μ0=1875 , α=0.01 We want to test the claim that an improvement…
Q: A particular manufacturing design requires a shaft with a diameter between 18.92 mm and 19.013 mm.…
A:
Q: A simple random sample of 42 men from a normally distributed population results in a standard…
A:
Q: c. Find the P-value. P-value = (Round to four decimal places as.needed.)
A: The degrees of freedom is, df=n-1=49-1=48 The degrees of freedom is 48.
Q: The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1875 pounds,…
A:
Q: A simple random sample of 39 men from a normally distributed populatlon beats per minute. The normal…
A: Given that n=39
Q: The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a…
A: (a) Let X denote the heights of adult men in America and it follows normal distribution with a mean…
Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…
A: The question is about hypothesis testingGiven :Population mean pressure of valve ( ) = 5.2…
Q: The breaking strengths of cables produced by a certain manufacturer have a mean, H, of 1925 pounds,…
A: GivenMean(x)=1955standard deviation(s)=75sample size(n)=24Significance level (α)=0.05
Q: A simple random sample of 45 men from a normally distributed population results in a standard…
A: Hypothesis:
Q: A simple random sample of 36 men from a normally distributed population results in a standard…
A: Solution: From the given information, the sample standard deviation is S=8.4 beats per minute,…
Q: A simple random sample of 35 men from a normally distributed population results in a standard…
A:
Q: A simple random sample of 41 men from a normally distributed population results in a standard…
A: (a) State the hypotheses Correct option: Option A
Q: A simple random sample of 36 men from a normally distributed population results in a standard…
A:
Q: Find the percentage of men meeting the height requirement. What does the result suggest about the…
A: Given that For Women Mean = W = 62.3 , Standard deviation = Sd = 3.7 For Men Mean = M = 69.4 ,…
Q: A simple random sample of pulse rates of 20 women from a normally distributed population results in…
A: We have given a random sample of pulse rates of 20 women from a normally distributed population.…
Q: A survey found that women's heights are normally distributed with mean 63.3 in. and standard…
A: We have given that For Women :For Men :
Q: A machine is programmed to fill 12-oz containers with a cleanser. However, the variability inherent…
A: We have to find out answer of given question....
Q: A survey found that women's heights are normally distributed with mean 62.6 in. and standard…
A: a. Obtain the percentage of men meeting the height requirement. The percentage of men meeting…
Q: The breaking strengths of cables produced by a certain manufacturer have a mean, μ, of 1900 pounds,…
A: Since you have posted a question with multiple subparts we will solve, first three subparts for you.…
Q: An engineer has designed a valve that will regulate water pressure on an automobile engine. The…
A:
Q: The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1900 pounds,…
A:
Q: a. Find the percentage of men meeting the height requirement. What does the result suggest about the…
A: From given data we have : For women : μ=63.2σ=2.6 For men : μ=69.8σ=3.5
Q: rs that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the…
A: Let X be the random variable such that how long the doors are millimeters tall. x¯: Sample mean of…
Q: A simple random sample of pulse rates of 30 women from a normally distributed population results in…
A: Given that, σ=10,s=12.1,n=10 The null and alternative hypothesis is, Level of significance,α=0.05…
Q: A Web Usage Snapshot indicated a monthly average of 34 Internet visits of a particular website per…
A:
Q: A survey found that women's heights are normally distributed with mean 63.3 in. and standard…
A: GivenMen's heights are normally distributed Mean(μ)=69.7standard deviation(σ)=3.6Doorway height…
Q: a factory manufacturing light emitting diode bulbs claims that their light ba blast to 50,000 hours…
A: Given: μ=50,000 n=50x¯=40,000 s=1000 The significance level is taken as 0.05.
Q: A simple random sample of 146 adult males from a normally distributed population results in a…
A: Here n = 146 and Sample SD (s) = 10.7 Test statistic is given as, χ2=σ2(n−1)∗s2=102145∗10.72 This…
Q: A simple random sample of 41 men from a normally distributed population results in a standard…
A: Given information Population standard deviation, σ = 10 Sample size, n = 41 Sample standard…
Q: The sample mean is found to be 1,150 hours. If the manufacturer's claim is correct, find the…
A: Given: μ=1200σ=400x¯=1150n=50 The probability of obtaining a sample with a sample mean of less than…
Q: the weight of an organ in adult males has a bell shaped distribution with a mean of 350 grams and a…
A: Given : mean(μ) =350 standard deviation (σ) = 50 Empirical rule : Approximately 68%of data values…
Q: A survey found that women's heights are normally distributed with mean 62.7 in. and standard…
A: GivenWomen's heights are normally distributed withMean(μ)=62.7standard deviation(σ)=2.6Men's heights…
Q: The breaking strengths of cables produced by a certain manufacturer have a mean, µ, of 1925 pounds,…
A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…
Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches standard…
A: NOTE: As per the guidelines, we are supposed to solve the first 3 sub parts only. a). Given:…
Q: If we were going to perform a hypothesis test for the population mean with Ho : µ> 1200 vs H : u<…
A: Given information: μ=1200, σ=400, n=50α=0.05 H0 : μ≥1200HA : μ<1200 The given hypothesis test is…
Q: A survey found that women's heights are normally distributed with mean 63.463.4 in. and standard…
A: a) The men’s heights are normally distributed with mean 68.3 and standard deviation 3.8. The…
Q: A Simple random sample of 35 men from a normally distributed population results in a standard…
A:
Q: A survey found that women's heights are normally distributed with mean 63.1 in. and standard…
A: Givenfor womenmean(μ)=63.1standard deviation(σ)=2.2for menmean(μ)=68.4standard deviation(σ)=3.1
Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…
A:
Q: A simple random sample of 37 men from a normally distributed population results in a standard…
A: Given that sample size n = 37 and sample SD s = 11.4 Claim: the pulse rates of men have a standard…
Q: A survey found that women's heights are normally distributed with mean 63.4 in. and standard…
A: Let "X" be the Height requirement for men For height requirement to be met the height should be…
Q: 8. 140 migrating pigeons were caught by a biologist for data collection. The mass of these pigeons…
A: n=sample size=140, mean μ=0.9, standard deviations σ=0.15 Note: This probability value calculated…
Step by step
Solved in 4 steps with 1 images
- A simple random sample of 34 men from a normally distributed population results in a standard deviation of 8.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. ... a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. H: 0 10 beats per minute O B. H, o= 10 beats per minute H:o = 10 beats per minute H o<10 beats per minute O D. H, 62 10 beats per minute H o<10 beats per minute O C. H, o= 10 beats per minute H: 0 10 beats per minute b. Compute the test statistic. %3D (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d. State…The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1875 pounds, and a standard deviation of 100 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 50 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1912 pounds. Can we support, at the 0.1 level of significance, the claim that the mean breaking strength has increased? (Assume that the standard deviation has not changed.) Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal…A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=10 beats per minuteH1: σ≠10 beats per minuteB.H0: σ≠10 beats per minuteH1: σ=10 beats per minuteC.H0: σ≥10 beats per minuteH1: σ<10 beats per minuteD.H0: σ=10 beats per minuteH1: σ<10 beats per minutePart 2b. Compute the test statistic.χ2=enter your response here (Round to three decimal places as needed.)Part 3c. Find the…
- A simple random sample of 36 men from a normally distributed population results in a standard deviation of 11.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ≠10 beats per minute D. H0: σ=10 beats per minute H1: σ<10 beats per minute b. Compute the test statistic. χ2=48.73448.734 (Round to three decimal places as needed.) c. Find…A survey found that women's heights are normally distributed with mean 62.2 in. and standard deviation 3.9 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below. ..... a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.) Since most men the height requirement, it is likely that most of the characters are b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements? The new height requirements are a minimum of in. and a maximum of in. (Round to one decimal…A simple random sample of 30 men from a normally distributed population results in a standard deviation of 8.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range , the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts a through d below . b. Compute the test statistic. x^2 =____ ( round to three decimal places as needed ) c. Find the p value ___ ( round to four decimal places as needed ) . d. State the conclusion
- Concrete cubes are used to test the quality of mix from a concrete mixing plant. 28 day compressive strength is taken as the standard measure to test the quality of the mix. Tests show that mean compressive strength of a sample of cubes is 28.4 units with a standard deviation of 2.95 units. To assure quality, the mixing company requires that at least 95% of the samples have compressive strength greater than 24 units. Based on this information and assuming a large sample size, answer the following questions. After major improvements on the plant, the mixing company is able to make cubes more consistent (reduce SD of compressive strength but maintain the same mean). For what value of the new SD will be cube standards be just met? Based on the requirements, only about___% of the samples meet the company standards.?A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 2.7 in. The survey also found that men's heights are normally distributed with mean 68.9 in. and standard deviation 3.8 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 62 in. Complete parts (a) and (b) below. ..... a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is %. (Round to two decimal places as needed.)A simple random sample of 30 men from a normally distributed population results in a standard deviation of 10.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o = 10 beats per minute O B. Ho: o2 10 beats per minute H: o<10 beats per minute H,: o< 10 beats per minute OC. Ho: o 10 beats per minute O D. Ho: o = 10 beats per minute H4: 0 = 10 beats per minute H: o# 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places needed. d. State…
- A simple random sample of 43 men from a normally distributed population results in a standard deviation of 11.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.A survey found that women's heights are normally distributed with mean 63.1 in. and standard deviation 3.4 in. The survey also found that men's heights are normally distributed with mean 69.4 in. and standard deviation 3.7 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 62 in. Complete parts (a) and (b) below. (...) a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is%. (Round to two decimal places as needed.)A simple random sample of 42 men from a normally distributed population results in a standard deviation of 8.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. O A. Ho: o 10 beats per minute O B. Ho: 0= 10 beats per minute H:g< 10 beats per minute H,:o<10 beats per minute OC. Ho: o = 10 beats per minute O D. Ho: o+ 10 beats per minute H,:0 = 10 beats per minute H,:0# 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.) c. Find the P-value. P-value = (Round to four decimal places as needed.) d. State the conclusion. Ho, because the P-value is V the level of significance. There is…