before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 36 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6 comma 012lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean
weight of the passengers is greater than StartFraction 6 comma 012 lb Over 36 EndFraction equals 167 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloadedaircraft? Assume that weights of men are
a. The probability is approximately
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- Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 38 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,080 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,080 lb38=160 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 176.9 lb and a standard deviation of 37. The probability is approximately nothing. (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? A. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft. B. No. Because the probability…arrow_forwardThe blue catfish (Ictalurus Furcatus) is the largest species of North Amercian 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 Amercian 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=40.72 pounds; s=5.03pounds Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal…arrow_forwardWhich would be the most effective method to determine if the mean diameter of the suppliers products is not more than 5 centimetersarrow_forward
- 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. Time to Complete the Course Right 47 42 50 42 48 47 48 42 Left 50 43 52 43 51 46 50 43 Assume a Normal distribution. What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Select an answer t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for a population proportion z-test for the difference between two population proportions t-test for a population…arrow_forwardBefore every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The Bombardier Dash 8 aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6200 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6200lb/37 = 167.6lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 185.47 lb and a standard deviation of 39 lb. make sure to include pdfarrow_forwardOne of the categories of special education are children who are diagnosed with Speech/Language Impairment (SLI). The most common SLI diagnosis is dyslexia. A major difficulty for children with this diagnosis of dyslexia surrounds the skills of reading. A special education teacher is interested in knowing whether a new reading technique increases reading skills for children diagnosed with dyslexia. She uses the WRAT as a way of measuring reading skills and the average for this test is 55 with a standard deviation of 4.5. She takes a random sample of 125 children diagnosed with dyslexia, employs her reading program with them and finds their mean on the WRAT to be 56.1. Test the null hypothesis at the .05 level of significance.arrow_forward
- The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian 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 Amercian 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. If you are going to test this claim, what would be your null and alternative hypotheses? Но: (? На: (?arrow_forwardA music fan claims that R&B songs and Rap songs differ in terms of their positivity. The individual collected two independent random samples from the population of all songs on Spotify. Fifteen R&B songs and another fifteen Rap songs were collected and their Valence was recorded. Remember, the variable Valence is measured on a 0 to 1 scale. Songs with high valence sound more positive (e.g. happy, cheerful, euphoric), while songs with low valence sound more negative (e.g. sad, depressed, angry). We will subtract (R&B – Rap) and use the 10% significance level. Assume the Central Limit Theorem conditions hold. The data set is called RBRapSample31. Please import the data set into Rguroo or find it in our group. Define the population parameter in context and symbols in one sentence. State the hypotheses you would use to test the claim that a difference exists in the mean Valence between R&B and Rap songs using correct notation.arrow_forwardThe mean GPA for 102 residents of the local apartment complex is 1.8 What is the best point estimate for the mean GPA for all residents of the local apartment complex?arrow_forward
- A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 313 female factory workers and out of them 48 could not speak English. She then randomly selects 400 male factory workers and out of them 43 could not speak English. Test her claim at a=0.05 to see if she was right. The correct hypotheses are: O Ho:PF Рм (сclaim) O Ho:PF 2 PM HA:PF < PM(claim) O Ho:PF = pM HA:PF + PM(claim) Since the level of significance is 0.10 the critical value is -1.282 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak…arrow_forwardThe blue catfish (Ictalurus Furcatus) is the largest species of North Amercian 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 Amercian 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. If you are going to test this claim, what would be your null and alternative hypotheses? Ho: HA: p> v Submit Questionarrow_forwardAt the auction of the music collection, there is 1 masterpiece sheet music whose composer is unknown. A professor from the College of Music, Universität der Künste Berlin was asked to analyze who the score composer is. You are asked to help analyze statistically. The professor saw there were 2 names who may have been the composer, namely: Johann Strauss II and Tchaikovsky. The the professor also provides general data, namely the average number of tones per bar of each composer. Give the results of your analysis, who is the composer of the sheet music. Calculations are made using a spreadsheet! Note: Take the last 3 digits of your ID (2602296545 ). Use the step below: 1. For example, for example ID 2602296545 → 545 is taken. 2. Replace number 5 with number 1; example: ID 545 → 145 3. Last 3 digits of your new ID == abc; example 145: a = 1, bc = 45.arrow_forward
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