A frustrated commuter conducted an IQ exam on a random sample of people who play music through their phones speaker on the subway. His results are below IQ = 84 92 83 100 65 73 77 81 83 What is the range of the IQs of these subjects?
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- A school bus driver records the time (in minutes) it takes to commute to school for six days.Those results are: 25, 22, 17, 20, 15, and 10. Using an alpha value of ? = 0.10, test if the meantime is significantly different than 20 minutes.Question #6 Winning team data were collected for teams in different sports, with the results given in the table below. Use the TI-83/84 Plus results at a 0.05 level of significance to test the claim that home/visitor wins are independent of the sport. TI-83/84 PLUS χ2−Test χ2=0.600249217 P=0.8963753184 df=3 Basketball Baseball Hockey Football Home team wins 114 76 64 75 Visiting team wins 63 47 41 49 __________ ( A. Fail to reject, B. Reject ) the null hypothesis that home/visitor wins are independent of the sport. It appears that the home-field advantage __________ ( A. does not, B. does ) depend on the sport.A researcher predicts that scores in treatment A will be higher than scores in treatment B. If the mean for the 10 participants in treatment A is 4 points higher than the mean for the 10 participants in treatment B and the data produced t = 2.095 What decision should be made? Choose one a. With an alpha = .05 reject the null for either a one tail or two tails b. With an alpha = .05 fail to reject the null for either a one tail or two tails c. With an alpha = .05 reject the null for one tail but fail to reject with two tails d. With an alpha = .05 reject the null for two tails but fail to reject for a one tail
- How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 What is the null hypothesis? _______________________ What is the alternative hypothesis? __________________ What is the critical F value? _________________How many hours of sleep do people get by listening to music? I record 10 subjects’ hours of sleep after they listen to 4 types of music: White noise, Rock, Pop, and Classical. For each music condition, they provide an average amount of hours of sleep they got for 1 week. Using the following data, test whether there is a significant difference in hours of sleep between types of music at an alpha of 0.01. Subject White noise Rock Pop Classical 1 5 5 7.5 9 2 9.5 6.5 7 9 3 7.5 6 7 10 4 8 6 7 8 5 8.5 5 6 8 6 6 5.5 7 10 7 7 6.5 9 9 8 8 5 5 9.5 9 8 6 7 8 10 8 7 7.5 7 Complete the ANOVA summary table: Source of Variation Sums of Squares df MS (Variance) F Between-groups Within-groups (error) Total What do we conclude? Using a bonferroni correction, run a post-hoc test on the type of music and…31. A psychologist noted that people have more difficulty sleeping in a bright room then in a dark room. She measured wether the intensity of the light could predict the time it took a sample of four participants to fall asleep. The data for this hypothetical study and make a decision to retain or reject the null hypothesis. Intensity of Light (in watts) Time it took to sleep (sleep in minutes) X Y 5 10 10 18 20 30 40 35
- An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…3. (Inspired by 4.10 in Bodine et al.) The basal metabolic rate (kcal/day) of large anteaters is believed to be subject to a power law relationship with its weight (kg). A study was performed measuring several anteaters and reported the following data: Weight (kg) 6.0 28.5 16.0 19.0 23.5 11.0 9.0 25.5 22.0 BMR (kcal/day) 80.1 247.0 162.3 172.4 215.1 111.9 104.6 224.6 208.3 Transform the data correctly to perform a linear least-squares regression, then report your model as y=cxp. Estimate the BMR for a 27 kg anteater.. Suppose we wish to assess whether there is a relationship between exercise on campus and students' living arrangements. The data are shown below. No Regular Exercise Sporadic Exercise Regular Exercise Dormitory 32 30 28 On-Campus Apartment 74 64 42 Off-Campus Apartment 110 25 15 At Home 39 6 5 Based on the data, use the chi square test to determine the relationship between exercise and student's living arrangement? Do you think where a person lives affect their exercise status? Let = 0.05.
- In reporting the results of a statistical analysis, a researcher reports that "p = .33". This implies that ________. a. the alternative hypothesis was accepted with an alpha level of .05 b. the alternative hypothesis was not accepted with an alpha level of .05 c. the null hypothesis was not rejected with an alpha level of .05 d. the null hypothesis was rejected with an alpha level of .05Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:
