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- Raquel runs a BBQ restaurant. She would like to know if the mean number of children that choose beef ribs daily is different from the average number of children that choose pork ribs daily in anticipation of creating a new children's menu. She asks her servers to make a special note every time they take an order from a child and record it in the log book. After 15 days, she records that an average of 39 children every day order beef ribs and 43 order pork ribs. The standard deviations for those 15 days are 3.1 for beef ribs and 2.9 for pork ribs, respectively. (a) Create a 95% confidence interval for the true difference in mean number of children that order beef and pork ribs recorded as (beef - pork). (b) Using the t-table, determine the test statistic and p-value for testing if there is a difference in the mean number of children that order beef and pork ribs daily. You do not need to perform a complete test.A Statistics teacher wants to know if students exposed to the use of technology in the classroom got significantly higher scores in Statistics exam than those who are exposed to the traditional chalk and talk method. She took a sample of 30 students exposed to technology and recorded their Statistics exam scores: 95 88 81 98 81 80 83 80 91 80 75 83 88 85 81 85 83 86 89 88 90 89 88 85 87 86 66 85 65 95She then took a sample of 40 students who were taught using the traditional method 88 78 81 87 91 90 83 84 66 81 80 74 73 71 66 60 78 78 65 60 71 85 89 79 80 83 75 73 80 71 65 71 89 81 75 60 82 80 90 83 Help the teacher verify the hypothesis at α = 0.05.According to a climate data center, the highest temperatures (in degrees Fahrenheit) ever recorded in a certain country (as of June 15, 2017) were as follows. Present these data in a double-stem display.
- State the generic error for an interpolating formula?The indicated IQ score, x, isThe blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 42 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=42; ¯x=40.63 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses?H0: H1: c) Identify the appropriate significance level.d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two…
- Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below: bar graph pie chart either a pie chart or a bar graph neither a pie chart nor a bar graphPregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother. Mother’s Age False-Positive Rate False-Negative RateUnder 30 0.040 0.37630-34 0.082 0.29035-37 0.178 0.269Over 38 0.343 0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age Probability of Down Syndrome25 1/130030 1/90035 1/35040 1/10045 1/2549 1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…In July 2019, a study reported that 63% of Americans use Instagram daily. An SRS of 15 PCC students are asked "Did you use Instagram today?" What is the mean of X? Write your answer to the nearest hundredth (2 decimal places).
- The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 50 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=50 ; ¯x=40.49 pounds; s=3.49 pounds a) Identify the null and alternative hypotheses? H0: H1: b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance…Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have?A recent poll of Ms. Vergara's 160 students revealed the following. They were asked if they did or did not study hard for finals. They were also asked if they were or were not proud of their final results. 115 students said they studied hard and 105 students said they were proud of their results. 20 students said they didn't study hard AND weren't proud of their results. What percentage of students studied hard OR were proud of their results? Use that same two-way table to help you.