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lecture(12.11):
Researchers were interested in the effects of co-sleeping on nightime waking and crying in infants.
.They assesed the number of minutes parents reported that their infants were awake and
crying for a period of three days. Five of the infants co-slept with thier mothers(Co) and four
infants slept in crib(Cr).The researchers wanted to see if there was a difference in the total number
of minutes of crying during the 3 nights. for the two groups. A summary of the data is given
below
Co-sleepers night time crying in minutes:
8, 4, 7, 7, 6
Crib-sleepers night time crying in minutes:
30, 17, 22, 25
Test the hypotheses at (aplha=.05) level of signifcance. using the 5 step hypotheses testing
procedure. Clealy state the null and alternative hypotheses. Round your answer to 2 decimal places.
Step by step
Solved in 3 steps with 2 images
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- Researchers were interested in assessing whether stress levels at the beginning of the semester are related to (i.e., correlated with) stress levels during finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 (X - MX) (Y - MY) (X - MX) (Y - MY) (X - MX)2 (Y - MY)2 1 22 22 -4.4 -6 2 32 34 5.6 6 3 24 25 -2.4 -3 4 28 30 1.6 2 5 26 29 -0.4 1 What is the observed correlation coefficient (i.e., r value)?Q. 4 Surgery was performed on 492 patients in the Anywhere Health Care Facility during March, and 27 of those patients died within 10 days of surgery. Find Postoperative death rate.Biologists in Minnesota are interested in determining if there is a difference in the invasion rate of Asian Carp (which can be detrimental to the environment) between the Mississippi River and Lake Mille Lacs. In the Mississippi River, it was found that 206 of 579 fish caught were Asian Carp. In Lake Mille Lacs, 28 of 132 fish caught were Asian Carp. Let p, = the true proportion of Asian Carp in the Mississippi River and let p2 = the true proportion of Asian Carp in Lake Mille Lacs. A test of Ho: P₁ = P2 vs. Ha: P₁ P₂ resulted in a p-value of 0.0015. Which of the following is a correct conclusion? (A) The test is not appropriate, since the researchers should have conducted a one-sided test. (B) The test is not appropriate, since the sample size is too small to conduct an inference test for proportions. (C) The test is not appropriate, since the two sample sizes are very different. (D) The p-value of this test is large, indicating we have sufficient evidence to conclude that a…
- Would you favor spending more federal tax money on the arts? of a random sample of n, - 237 women, r,- 68 responded yes. Another random sample of n, - 192 men showed that r,- 64 reponded yes. Does this Information Indicate a difference (ether way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) what is the level of signihcance? 0.05 State the nul and alternate hypotheses. O H, P, - Pai H P,Pa O Hoi Pa - Pai M P, P2 OH, P,A researcher is interested in hamster wheel-running activity during the summer versus the winter. She suspects that either the hamsters will run less during the winter to conserve energy or they will run more to keep warm. She records the activity of n = 25 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February. The data are collected, and the results show an average difference score of MD - 5.7 and a sum of squares of SS = 2,851.44. What is the sample standard deviation (s) for the D scores? (one decimal)Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?Lecture(8.8): The amount of time people engage in physical activity mat be related to health outcome. Those who report that they spend more than 15 hours are put into one while those who spend less 10 were put into another group. (Those who fall in between 10 and 15 were left out of the study); The reaearcher then ask the participants to wear a monitor for one month. The average time in minutes is recorded and shown below . Is there any evidence that on average people who watch less than 10 hours watching televsion spend more time on physical activity.?. Test the hypotheses at (alpha=0.05) using the 5 step procedure <10 hours 75 63 118 35 82 >15 hours 62 6 78 43 22 33The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)A researcher designed a study to test whether caffeine use enhanced performance time to run a 100 meter sprint. The participants (n=30) ran a 100 meter sprint before the consumption of caffeine on day 1 and then they ran another 100 meter sprint on the following day 2 after ingesting caffeine. The average time taken to run the 100 meter sprint on day 1 was (M1) and the average to run on day 2 after caffeine was (M2). The variance for this study was calculated to be (S2). Does caffeine use improve the running time in the 100 meter sprint (e.g., lower time)? Use all of the data provided to you below and test at an alpha of 0.05. M1 = 26.53M2 = 14.69S2 = 207.75n=30 a) state null and alternate hypothesis b) what is the critical value c) what is the obtained value d) conclusion
