A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels theaverage weekly growth rate of the new shrub is 3 cm per week. A random sample of 48 shrubs has an average growth of 2.70 cm per week with a standard deviation of0.60 cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 3 cm per week at a 0.025 significance level?Step 3 of 3: Choose the best option below that describes the statistical and practical significance of this test.Answer○ The test was both statistically and practically significant.TablesKeypadKeyboard ShortcutsO Although the test was not statistically significant, there is a practical difference between a growth rate of 3 cm and 2.70 cm.○ Although the test was statistically significant, there is no practical difference between a growth rate of 3 cm and 2.70 cm.○ The test was neither statistically nor practically significant.

Although the test was statistically significant, there is no practical difference between a growth…

Answered: A horticulturist working for a large…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A company that runs a chain of quick oil change centers, tries to attract customers by claiming that it completes oil changes faster than its competition. So it periodically estimates the time taken to do oil changes at its centers. From historical records, the company knows that the population standard deviation of oil change duration is 15 minutes. Recently, 40 customers were asked how much time they spent getting an oil change at one of their centers. Based on the sample data, the chain concluded that the average oil change time for the population of all its customers was between 15 and 25 minutes. What was the confidence level at which the inference was made?
The mean life expectancy in the US pop. is currently 81.1 years with a standard deviation of 15.9. A researcher examined the age of death of 70 people in Florida hospitals and the mean was 85.2 yrs. He runs a 2tailed test with a=.05 to see if FL has significantly different life expectancy to the overall US pop. Calculate the standard error, z statistic and critical z values from this information.
A laboratory claims that the mean sodium level, u, of a healthy adult is 143 mEq per liter of blood. To test this claim, a random sample of 50 adult patients is evaluated. The mean sodium level for the sample is 140 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 10 mEq. Can we conclude, at the 0.1 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
A researcher claims that the average life span of mice can be extended when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diets are enriched to normal levels by vitamins and protein. Suppose that a sample of 10 mice is fed a normal diet and has anaverage life span of 32.1 months with a standard deviation of 3.2 months, while a sample of 15 mice is fed the restricted diet and has an average life span of 37.6 months with a standard deviation of 2.8 months. Assume the distributions of life spans for the regular and restricted diets are approximately normal withequal variance.(a) State the appropriate hypotheses to test the researcher’s claim.(b) Conduct the test at the 0.05 level of significance. What do you conclude?
A recent television news station reports that the average Body Mass Index (BMI) (a measure of a person’s body composition) for males is 10kg/m2. A local university believes that this is unusually low and suspects that males are actually higher than their claim. They conduct a study with 20 undergraduate males randomly selected from their campus. A sample mean of 16.5kg/m2 with a standard deviation of 3.2kg/m2 was obtained. Using an alpha of.05 is there enough evidence to warrant rejection of the news station’s claim of 10kg/m2?? a. Write your hypotheses for this scenario. b. Is this a one tailed or two tailed test? i. Why? c. What statistical test would be used for this scenario? i. Explain why.
Does chronic hepatitis C infection impact bone mineral density? In the general population of healthy young adults, bone mineral density is Normally distributed, and density scores are standardized to have a mean u of 0 and a standard deviation o of 1. A study examined the bone densities of a random sample of 28 adult men suffering from chronic hepatitis C infection. Their mean standardized bone density was -0.61. Does this provide strong evidence that the mean standardized bone density of adult men suffering from chronic hepatitis C infection is less than 0?
A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 150. The psychologist gathers a random sample of 16 SI scores of smokers and finds that their mean is 130 and their standard deviation is 31. Assume that the population of SI scores of smokers is normally distributed with mean μ. Based on the sample, can the psychologist conclude that μ is different from 150? Use the 0.05 level of significance. Perform a two-tailed test. Then fill in the table attached. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months when the calories in their diet are reduced by approximately 40% from the time they are weaned. The restricted diets are enriched to normal levels by vitamins and protein. Suppose that a random sample of 10 mice is fed a normal diet and has an average life span of 32.1 months with a standard deviation of 3.2 months, while a random sample of 15 mice is fed the restricted diet and has an average life span of 37.6 months with a standard deviation of 2.8 months. Test the hypothesis, at the 0.05 level of significance, that the average life span of mice on this restricted diet is increased by 8 months against the alternative that the increase is less than 8 months. Assume the distributions of life spans for the regular and restricted diets are approximately normal with equal variances. Do not use t-test statistic.

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