Assume that the sample is a simple random sample. 13 15.5 3.5 8.5 17 18.5 8.5 19 9.5 20
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- Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 ug/g. Assume that the sample is a simple random sample. 20.5 12.5 12.5 4.5 4.5 19 18 18.5 9. 16 O Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? Ο Α. Ηo μ> 16 μgg Ο Β. H μ= 16 μglg H1>16 ug/g H,: p< 16 pg/g O C. H μ= 16 μgg ΟD. Ho μ= 16 μgg H: p<16 ug/g H: p#16 pg/gSuppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 14 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)? 128 189 139 148 186 141 163 101 195 142 174 114 196 191 a. z = -2.576 b. t = +1.796 c. t = + 1.771 d. z = + 1.796Suppose you are asked to toss a coin 16 times and calculate the proportion of the tosses that were heads. a. What shape would you expect this histogram to be and why? b. Where you do expect the histogram to be centered? c. How much variability would you expect among these proportions? d. Explain why a Normal model should not be used here.
- Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 μg/g. Assume that the sample is a simple random sample. 12.5 11 10.5 21 11.5 17.5 8 12 8 18.5Listed below are the lead concentrations in µg/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 µg/g. Assume that the sample is a simple random sample. 9.5 9 17 2.5 9.5 13 13 13 22.5 13 nts ED OC. Ho: p= 15 µg/g OD. Hop=15 µg/g H₁: μ< 15 µg/g H₁ μ#15 µg/g Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.). State the final conclusion that addresses the original claim. 15 µg/g. Ho. There is evidence to conclude that the mean lead concentration for all such medicines is Time Remaining: 01:24:16 Next Privacy Policy | Permissions | Contact Us I Terms of Use S ENG O US ess Less Library esources ptions 5 pis Copyright © 2022 Pearson Education Inc. All rights reserved ▬▬ see sc see sc see sco see scoKenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below: a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04. c. Reject the null hypothesis because the value of z is negative. d. Reject the null hypothesis because |−1.75|>0.04. e. Do not reject the null hypothesis because |−1.75|>0.04.
- In a random sample of 925 plain M&M's, 19% were blue. Use a 0.01 significance level to test the claim of Mars, Inc. that 24% of its plain M&M candies are blue. a. Define the parameter A. p = The proportion of all M&M's that are blue B. mu = The proportion of all M&M's that are blue C. mu = The mean number of all M&M's that are blue D. p = The proportion of all M&M's that are not blue b. State the null and alternative hypotheses A. Upper H 0 : p greater than 0.24 Upper H 1 : p equals 0.24 B. Upper H 0 : p equals 0.19 Upper H 1 : p not equals 0.19 C. Upper H 0 : p equals 0.24 Upper H 1 : p not equals 0.24 D. Upper H 0 : mu not equals 0.24 Upper H 1 : mu equals 0.24 c. Calculate the test statistic. Which of these options is closest to the test statistic? A. negative 4.00 B. negative 3.65 C.…A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age(years) Weight(kg) Home-RangeSize (km2) 10.5 54 43.0 6.5 40 46.6 28.5 62 57.4 6.5 55 35.7 7.5 56 62.0 6.5 62 33.8 5.5 42 39.7 7.5 40 32.3 11.5 59 57.2 9.5 51 24.3 5.5 50 68.6 (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors x1 = age and x2 = weight. (Round your numerical values to four decimal places.) = (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. H0: ?1 = ?2 = 1Ha: at least one of ?1 or ?2 is not 1.H0: At least one of ?1 or ?2 is not 1.Ha: ?1 = ?2 = 1 H0: ?1 = ?2 = 0Ha: at least one of ?1 or ?2 is not 0.H0: At least one of ?1 or ?2 is not 0.Ha: ?1 = ?2 = 0 Calculate the test…An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8
- Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"a study of store checkout scanners, 1234 items were checked and 23 checked items were overcharges. Use a 0.05 significance level to test the claim that with scanners, 1% of sales are overchanrges. (Before scanners were used, the overcharge rate was estimated to be about 1%). a. Define the parameter A. mu = The proportion of all sales that are undercharges B. p = The proportion of all sales that are incorrect C. p = The proportion of all sales that are overcharges D. mu = The mean number of sales that are overcharges b. State the null and alternative hypotheses A. Upper H 0 : mu not equals 0.01 Upper H 1 : mu equals 0.01 B. Upper H 0 : p greater than 0.01 Upper H 1 : p equals 0.01 C. Upper H 0 : p equals 0.01 Upper H 1 : p not equals 0.01 D. Upper H 0 : p equals 23 Upper H 1 : p less than 23 c. Calculate the sample proportion ModifyingAbove p…Use the following table to determine whether or not there is a significant difference between the average hourly wages at two manufacturing companies. Assume a level of significance of 0.05. Manufacturer 1 Manufacturer 2 n1 = 81 n2 = 64 X⎯⎯⎯1=$15.80X¯1=$15.80 X⎯⎯⎯2=$15.00X¯2=$15.00 σ1 = $3.00 σ2 = $2.25 What conclusion should we draw based on the sample evidence? Multiple Choice Fail to reject the null hypothesis and conclude the means are equal. Reject the null hypothesis and conclude the means are different. Reject the alternate hypothesis and conclude the means are equal. Fail to reject the null hypothesis.
