2. In an advertisement, a certain brand of shampoo is claiming that the use of this product will make the hair grow faster. It is known that the mean length of growing hair over thirty days is 2 cm Hị: Photo is taken from https://stylecaster.com/beauty/best- hair-growth-shampoos/
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- The mean life span of an African savanna elephant in the wild used to be 60 years. A recent sample of 15 deceased elephants in the wild yielded a mean life span of 62 years. Assume a normally distributed population with = 6 years. Test if the population mean life span of African savanna elephants has increased, using a = 0.05. Select one: O a. p-value = 0.0984, do not reject Ho. O b. p-value = 0.0984, reject Ho. c. p-value = 0.1968, do not reject Ho. d. p-value = 0.4522, do not Reject Ho.You are testing that the mean speed of your cable Internet connection is 100 Megabits per second. State the null and alternative hypotheses.Today, the waves are crashing onto the beach every 4.4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.4 seconds. Round to 4 decimal places where possible.
- 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 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,009 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 7,009 lb / 43 =163 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 182.4 lb and a standard deviation of 38.4.A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, H, of CEOS of major corporations is less than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 128 mm Hg and the standard deviation of the sample to be 16 mm Hg. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? |Ho: H is ? |H,: µ is ? In the context of this test, what is a Type II error? A Type II error is ? fact, µ is ? v the hypothesis that u is ? when, in Suppose that the researcher decides not to reject the null hypothesis. What sort of error might he be making? ? Continue Save For Later Submit…The chart to the right shows that a professor's grading distribution is bell shaped, or normally shaped. The mean of the distribution is 74 and the standard deviation is 9. Using a Continuous Variable Normal Bell Distribution Model, calculate the minimum test score needed to score in the top 5% of the class. Complete your work in the worksheet by listing the formula inputs, labels for the formula inputs and make your calculations with formulas. This test problem is similar to what you studied in video # 32, 33 and 34 and homework problems # 17, 21 and 23. Relative Frequency Frequency Professor looks at all test score for a particular test (this is population data), and observes: 0.5 0.45 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 Mean = 74 Median = 74 Mode = 73 SD=9 0 0 0 up to 10 up 10 to 20 0 20 up to 30 0 30 up to 40 2 40 up to 50 29 50 up to 60 X = Score 112 60 up to 70 225 70 up to 80 111 80 up to 90 21 2 90 up 100 up to 100 to 110
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. Suppose the true mean systolic blood pressure of CEOs of major corporations is 132 mm Hg. Fill in the four blanks to describe a Type I error. 1. A Type I error would be (rejecting) or (failing to reject) the hypothesis 2. that μ is (less than) (less than or = to) (greater than) (greater than or = to) (not = to) or (= to) 3. the number (124) (132) or (20)…Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure which has a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg. If you picked a member of the population at random, would it be more likely that you randomly select someone that: Has a blood pressure between 104 mmHg and 114 mmHg, or Has a blood pressure between 124 mmHg and 134 mmHg? Show any values calculated and explain your reasoning in the space provided below.The trunk diameter, in centimeters, of a certain variety of pine tree is represented by X~N(150, 30). What is the 75th percentile of trunk diameters? Round to two decimal places.
- A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, µ, of car rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is different from last year’s mean, which was 2700 miles. The group plans to do a statistical test regarding the value of µ. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2565 miles and the standard deviation to be 800 miles. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: µ is ____ __? __ H1: µ is ____ __ ? ___ In the context of this test, what is a Type II error? A Type II error is ?________ ___ the hypothesis that µ is ? _____ ? when, in fact, µ is ? ____ Suppose that the group decided to reject the null…Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure. What proportion of the population has a blood pressure that is below the value 101.3 mmHg for a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg? Express your answer as a percentage rounded off to 1 decimal place. For the value from the previous question you just answered, what percentage of the population would have a blood pressure higher than this value? Express your answer as a percentage rounded to 1 decimal place and show your calculations below.State the null and alternative hypothesis if I claim that the mean lifespan of African elephants is 59 or less.