Cecil has a paper cup in the shape of a cone, as shown below. What is the volume of Cecil's paper cup? A O B C 1 12 2 34 3- π cubic inches π cubic inches 15 cubic inches ©2023 Illuminate EducationTM, Inc. Cecil's Paper Cup 3 in.- I 5 in. 1
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- A restaurant located in an office building decides to adopt a new strategy for attracting customers. Every week it advertises in the city newspaper. In the 6 weeks immediately prior to the advertising campaign, the weekly grosses were 350, 320, 307, 398, 420, 335 (in million VND). In the eight weeks after the campaign began, the weekly grosses was 488, 301, 276 380, 421, 425 (in million VND). a/ Test with a = 0.05 to determine whether there is enough evidence to conclude that expected weekly gross after the advertising campaign differs from 382. b/ Given that the weekly grosses are normally distributed, can we conclude that the advertising campaign helped in improving weekly grosses? (Assuming unequal variances and using a = 0.05)A university is trying to determine how many of their students have watched a bystander intervention video aimed at reducing assault on campus. After posting the video to their social media, some school officials mention in passing that if it is not widely viewed, it may become a requirement to attend in-person trainings. In an effort to gauge how many students have viewed the video, the administration sends a survey to all students on campus (about 3500 students). About 30% of students choose to respond to the survey, producing a sample size of N = 1050. About 70% of the student respondents stated that they had watched the video. From this data, the administration concludes that their sample is large, it represents the whole student population, and therefore 70% of all students had watched the video. As a result, the in-person training is not warranted. Why is this a problematic conclusion to draw? In your answer, be sure to address the type of sample that was obtained, why it may be…3. Find p-value.
- A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 75% think that healthy children should be required to be vaccinated. At α=0.10, is there enough evidence to support the researcher's claim? Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) Fill the answer to the correct answer A. The rejection region is <z< B. The rejection region is z< . C. The rejection region is z> . D. The rejection regions are z< and z> . (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. Choose a or b ▼ (A)Reject…The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected 8 outlets and sold the MP3 player at the reduced price. At 7 randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the regular and reduced prices at the randomly selected outlets. Regular (7 outlets) - 138, 127, 129, 114, 114, 126, 98 Reduced (8 outlets) - 122, 135, 151, 133, 113, 129, 134, 133 At the 0.050 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales? Hint: for the calculations, assume the reduced price as the first sample. Compute the pooled estimate of the variance (round to 3 decimal places) Compute the test statistic (round to 2 decimal places)Fifty-seven students participated in a lottery for a particularly desirable dorm room – a triple with afireplace and private bath in the tower. Twenty of the participants were members of the samebasketball team. When all three winners were members of the team, the other students cried foul.Determine whether an all-team outcome could reasonably be expected to happen if everyone hada fair shot at the room. (create simulation based on DATCCC)
- A restaurant located in an office building decides to adopt a new strategy for attracting customers. Every week it advertises in the city newspaper. In the 6weeks immediately prior to the advertising campaign, the weekly grosses were 350, 289,407, 398, 470, 259 (in million VND). In the eight weeks after the campaign began, the weekly grosses was 488, 301, 276 380, 421, 425 (in million VND).a/ Test with a = 0.05 to determine whether there is enough evidence to conclude that expected weekly gross prior to the advertising campaign differs from 362.b/ Given that the weekly grosses are normally distributed, can we conclude that the advertising campaign helped in improving weekly grosses? (Assuming equal variances and using a = 0.05)Q2. Is the average time to complete an obstacle course shorter when a patch is placed over the right eye than when a patch is placed over the left eye? Thirteen randomly selected volunteers first completed an obstacle course with a patch over one eye and then completed an equally difficult obstacle course with a patch over the other eye. The completion times are shown below. "Left" means the patch was placed over the left eye and "Right" means the patch was placed over the right eye. Right 44 44 43 47 43 45 46 48 Left 43 46 47 51 46 43 50 50 Assume a Normal distribution. What can be concluded at the the αα = 0.05 level of significance level of significance? Find the t-test statistics(3 decimal places)Z score that corresponds to p97
- A researcher would like to determine whether infants, age 2 to 3 months, show any evidence of color preference. The babies are positioned in front of a screen on which a set of four colored patches is presented. The four colors are red, green, blue, and yellow. The researcher measures the amount of time each infant looks at each of the four colors during a 30-second test period. The color with the greatest time is identified as the preferred color for the child. What type of test would you use to test the hypothesis that babies can differentiate between color (e.g., will have different look times between the 4 colors)? Would you use a one-tailed or two-tailed test? What would be an appropriate measure of effect size to report?Starbucks wants to check how they are doing on their drive-thru pick up times. The franchise owner has determined that drive thru pick up times should not exceed 4 minutes. He randomly selects 50 customers to see if the pick-up time exceeds the 4 minute window. Suppose the P-value for the test was found to be 0.018. State the correct conclusion. [ Options for the answer in image. Thank you! <3]The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 900900 voters in the town and found that 59%59% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 62%62%. Testing at the 0.100.10 level, is there enough evidence to support the strategist's claim? Step 4 : Determine the P-value of the test statistic. Round your answer to four decimal places. Step 5: Identify the value of the level of significance. Step 6: Make the decision to reject or fail to reject the null hypothesis. Also, State the conclusion of the hypothesis test.