How many possible samples of size 5 are possible from a population of size 70?
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How many possible samples of size 5 are possible from a population of size 70?
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- If we have the population (A, B, C, D), make samples from this population, for samples n= 2 in cases: 1- Pull sample with return? 2- Pull sample without return with no arrangement? 3- Pull sample without return with arrangement?A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.3 4.5 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. (i) Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to three decimal places.) x1 = s1 = x2 = s2 = (ii) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use α = 0.01.(a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to three decimal places.)A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1: Time of day Factor 2: Type of contact Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 = 5.75 = 8.25 = 7.00 Afternoon 3, 5, 6, 5 9, 10, 6, 8 Row 2 = 4.75 = 8.25 = 6.50 Evening 5, 5, 7, 5 9, 10, 10, 9 Row 3 = 5.50 = 9.50 =7.50 Column means Column 1 = 5.33 Column 2 = 8.67 Total =7.00 For the two measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: there is no difference in population mean satisfaction depending on time of contact, there is no difference in population mean satisfaction depending on type of…
- 3. A sample of job applicants is selected to analyze the number of years of experience the job applicants have. The data set is: {1, 3, 3, 1, 2}. What can you conclude about the sample?A manufacturer of batteries for electronic watches wants to determine how long batteries last. A sample of 8 batteries reveals the following lifetimes (in months): 8, 6, 10, 3, 8, 9, 10, 7. Compute the sample: d) RangeList all samples of size 3 2, 5, 6, 8, 9
- The chemical benzene is highly toxic to humans. However, it is used in the manufacture of many medicine dyes, leather, and coverings. Government regulations dictate that for any production process involving benzene, the water in the output of the process must not exceed 7,950 parts per million (ppm) of benzene. For a particular process of concern, the water sample was collected by a manufacturer 25 times randomly and the sample average x was 7960 ppm. It is known from historical data that the standard deviation o is 100 ppm. (a) What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the limit? (b) Is an observed x = 7960 in this experiment a firm evidence that the population mean for the process exceeds the government limit? Assume that the distribution of benzene concentration is normal.A study of fox rabies in southern Germany gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region 1 gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 2 7 7 7 7 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 3 4 3 3 8 5 4 4 4 2 2 5 6 9 (a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rabies cases in both regions is mound-shaped and approximately normal.) (i) What is the level of significance?State the null and alternate hypotheses. H0: μ1 ≠ μ2; H1: μ1 = μ2H0: μ1 = μ2; H1: μ1 ≠ μ2 H0: μ1 > μ2; H1: μ1 = μ2 H0: μ1 = μ2;…The information below is from the small population of 5 students. The 10 possible SRSs of size n = 3 are: Sample #1: Abigail(10), Bobby(5), Carlos(10) Sample #2: Abigail(10), Bobby(5), DeAnna(7) Sample #3: Abigail(10), Bobby(5), Emily(9) Sample #4: Abigail(10), Carlos(10), DeAnna(7) Sample #5: Abigail(10), Carlos(10), Emily(9) Sample #6: Abigail(10), DeAnna(7), Emily(9) Sample #7: Bobby(5), Carlos(10), DeAnna(7) Sample #8: Bobby(5), Carlos(10), Emily (9) Sample #9: Bobby(5), DeAnna(7), Emily(9) Sample #10: Carlos(10), DeAnna(7), Emily(9) Name Abigail Bobby Carlos DeAnna Emily Gender Female Male Male Female Female Quiz score 10 5 10 7 9 Calculate the median quiz score for each sample and display the sampling distribution of the sample median on a dotplot. 011 000000-5 5.5 7.5 T 1.5 1.5 7.5 -2 2 6.5 7 7.5 Median quiz scores 8 9 8.5 Median quiz score 8 8.5 Median quiz score ∞∞∞0-9 2.5 3.5 Median quiz scores 2.5 3 3.5 Median quiz scores -80 4104 8.5 9.5 9.5 4.5 4.5 10 8 10 ∞∞∞∞0-5 00000-5
- A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below. Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative Row means Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1 x= 5.75 x = 8.25 x = 7.00 Afternoon 3, 5, 6, 5 9, 10, 6, 8 Row 2 x= 4.75 x = 8.25 x = 6.50 Evening 5, 5, 7,5 9, 10, 10, 9 Row 3 x= 5.50 x = 9.50 x =7.50 Column means Column 1 x = 5.33 Column 2 x = 8.67 Total x =7.00 For the two measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: a. there is no difference in population mean satisfaction depending on time of contact, b. there is no difference in population mean satisfaction depending on type of customer contact and c. there is no interaction between type of contact and time of contact.A researcher is investigating the effects of three different fertilizers (A, B, and C) on the growth of tomato plants. The height of the plants (in inches) is measured after one month using a sample of four plants for each fertilizer: Fertilizer A: [12, 14, 15, 13] Fertilizer B: [16, 17, 15, 18] Fertilizer C: [10, 11, 12, 9] Perform a one-way ANOVA to determine if there is a significant difference in the mean height of the tomato plants among the three fertilizers at a 5% significance level. Show all stepsHow many different samples of size 3 (without replacement) can be taken from a finite population of size 10? 30 1,000 720 120
