to. They are being wasted. b. They need to be reprocessed. c. Acceptable.
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In the manufacture of steel rollers to fit an assembly, the external diameter is considered to be a random variable with mean equal to 23 mm and variance equal to 0.0036 cm2. 1.5 is supported standard deviations more than the mean and 3.5 standard deviations below average. A piece with a diameter below such specifications is considered waste, whereas a piece with a diameter larger than specified must be reprocessed. Which is the percentage of pieces that:
to. They are being wasted.
b. They need to be reprocessed.
c. Acceptable.
d. If you want to establish that the reprocessing is 5% of the rollers and waste of 1%, than specification limit would recommend.
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- From a sample of 18 tellers operating in different branches of a bank, it turned out that during a day an average of 60 people are served, with a variance of 81. Construct an interval for the population mean, with 95 % confidence.Select one:a. μ= [56,524 ;63,476]b. μ= [55,524 ;64,476]c. μ= [55,324 ;64,376]d. μ= [55,842 ;64,158]e. μ= [56,542 ;64,467]A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal . The value of the test statistic is A) 3.6 B) 1.8 C) 0.45A machine produces glass with a nominal thickness of 4mm. In fact the thickness is a Normal random variable with mean 4.168mm and standard deviation 0.12mm. The thickness in mm which 5% of panes exceed is (2 d.p.)?
- Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. A research team examined the adhesive properties of 7 Tokay geckos. Below are their toe-pad areas (in square centimeters, cm²). 5.1 5.6 4.9 6.0 5.5 5.1 7.5 Compute the mean, variance, and standard deviation for the given data. Also specify the units for these three quantities.Given a normally distributed data set whose mean is 25 standard deviation is 5, what values of x would a z-score of 1.2 have?Assume the random variable X is normally distributed, with mean μ=47 and standard deviation σ=8. Find the 14th percentile.
- The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standard deviation of 3.8 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. Click the icon to view the data. a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters? Identify the null and alternative hypotheses. O B. Ho: H1 =H2 O C. Ho: H1 #H2 H1: H1 =H2 O A. Ho: H1 = H2 H:H1 H2 O F. Ho: H1 = H2 H1:H1> H2 H:H1=H2 Hq: H1…The t test for the difference between the means of two independent populations assumes that the respective Seleccione una: O A. populations are approximately normal. В. sample sizes are equal. С. sample variances are equal. O D. all of the aboveA space vehicle is designed to land on the surface of an asteroid. Assume that the ground condition on the asteroid is either hard or soft. Based on the available information gathered on the asteroid, it is judged that the chance of hitting hard rock ground is three times that of hitting soft rock ground. Suppose a probing stick is used to test the ground condition before landing. The stick will penetrate into soft ground with probability 0.9, and hard ground with probability of only 0.2. If the stick was unable to penetrate into the ground, what is the probability that the ground is soft. Explain it with complete answer and justify your solution and answer.
- when applying ANOVA which of the following steps would be important: a. the standard deviation of all the populations involved in the experiment is constant. b. the sample size of each sample is atleast 10. c. the population group that are being considerded are not more than 5. d. calculating side- by- side box plots will give a good visual representation of the variance between and within treatments. e. the samples are coming from normally distributed populations.In a 4-week study about the effectiveness of using magnetic insoles to treat plantar heel pain, 58 subjects wore magnetic insoles and 40 subjects wore nonmagnetic insoles. The results are shown at the right. At a= 0.06, can you support the claim that there is a difference in the proportion of subjects who feel better between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Do you Feel Better? Magnetic Insoles I Yes 20 I No 38 Nonmagnetic Insoles Yes 17 No 23 (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. z O B. z> O D. z< C. (c) Find the standardized test statistic. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis Choose the correct answer below.The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table 10.4 shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5% level of significance. Engine Sample Mean Number of RPM Population Standard Deviation 1 1,500 50 2 1,600 60
