Two types of flares are tested for their burning times (in minutes) and sample results are given below. Brand X n = 35 x=19.4 Brand Y n=40 x=15.1 x=1.4 S=0.8 Construct a 95% confidence interval for the differences mx-my based on the sample data. A 3.5
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- The mean BMI in patients free of diabetes has been reported as 27.8. An investigator measured BMI in 12 patients who are free of diabetes and found a mean BMI of 30.2 with a standard deviation of 5.5. The investigator hypothesizes that the BMI in patients free of diabetes is higher than what has been reported. Is there evidence that the BMI is significantly higher that 27.8? Use a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUSTshow your work to receive full credit. Partial credit is available.An investigation of the relationship between traffic flow (measured in cars per day) and lead content (measured in micrograms per gram of dry weight) in the bark of trees near the highway yielded the following summary statistics: Sample Mean Sample Standard Deviation Lead Content (micrograms per gram dry weight) y¯=y¯= 680 sysy = 240 Traffic Flow (cars / day) x¯=x¯= 1750 sxsx = 800 The correlation between lead content and traffic flow was found to be r = 0.6 and a scatterplot showed the form to be linear. The least squares regression line for using X to predict Y was found to be y^=365+0.18xy^=365+0.18x. Which one of the following is a proper interpretation of the slope? Group of answer choices For each 1 car per day increase in traffic flow, we predict an corresponding increase of 0.18 in lead content of surrounding trees For each 0.6 car per day increase in traffic flow, we predict an corresponding increase of 365.18 in lead content of surrounding trees For each 1…What are the hypotheses for testing to see if a correlation is statistically significant? Hor=0: H₁r0 Ho: p=0: H₁p0 Ho: p= ±1: H₁p #±1 Ho: p = 0; H₁:p=1 Ho: r = ±1; H₁: r#±1
- A group of adult males has foot lengths with a mean of 26.79 cm and a standard deviation of 1.27 cm. Use the range rule of thumb for identifying significant identify the limits separating values that are significantly low or significantly highIs the adult male foot length of 29.7 cm significantly low or significantly highExplain A random sample of 10 subjects have weights with a standard deviation of 14.0120 kgWhat is the variance of their weights? Be sure to include the appropriate u with the result The variance of the sample data isThe effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 78.6 for a sample of size 940 and standard deviation 9.4.Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level).Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). < μμ < Answer should be obtained without any preliminary rounding.A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
- Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 101.16, y = 102.3, r= 0.810, P-value = 0.000, and y = 23.09+0.78x, where x represents the IQ score of the wife. Find the best %3D %3D %3D predicted value of y given that the wife has an IQ of 109? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. .... The best predicted value of y is . (Round to two decimal places as needed.) Critical values of the pearson correlation coefficient r NOTE: To test Ho: p = 0 against H,: p#0, reject Ho |if the absolute value of r is greater than the critical value in the table. a = 0.05 a = 0.01 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.707 0.834 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40…Suppose you will perform a test to determine whether there is sufficient evidenceIn a trivariate distribution, it 112= 0.7, 113 = 0.61 and 223 = 0.4 find all the multiple correlation coefficients. Also obtain the standard of estimates 01.23 61:23, 02:13 and 53:12 given that: 52= 1:06, 62 = 2.15 and 3= 3.46.
- Question 7 < The average number of accidents at controlled intersections per year is 4.9. Is this average a different number for intersections with cameras installed? The 67 randomly observed intersections with cameras installed had an average of 5 accidents per year and the standard deviation was 1.01. What can be concluded at the a = 0.05 level of significance? a. For this study, we should us b. The null and alternative hyp Ho: ? Select an answer H₁: ? Select an answer ✓ Select an answer z-test for a population proportion t-test for a population mean c. The test statistic ? = d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) the null hypothesis. O The data suggest that the population mean is not significantly different from 4.9 at a = 0.05, so there is statistically insignificant evidence to conclude that the…Present the results using APA format. What does the conclusions mean in general terms?QUESTION 4 Sara wants to determine the mean play time of media clips on her smartphone. A random sample of 36 media clips revealed a mean of 155 minutes and a standard deviation of 16 minutes. Find the upper confidence limit (UCL) of the 93% confidence interval estimate for the mean play time of media clips on Sara's smartphone. Round your answer to two decimal places.