Katie thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 11 obituaries from newspapers from rural towns in Idaho give = 81.71 and s = 0.74. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μ, e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Ho: HA: (b) Find the test statistic, t =
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- Lois thinks that people living in a rural environment have a healthier lifestyle than other people. She believes the average lifespan in the USA is 77 years. A random sample of 13 obituaries from newspapers from rural towns in Idaho give ?¯=80.56 and ?=0.57. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (a) State the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >>1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) ?0:??: (b) Find the test statistic, t = (c) Answer the question: Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (Use a 10% level of significance)(Type: Yes or No)Andrew thinks that people living in a rural environment have a healthier lifestyle than other people. He believes the average lifespan in the USA is 77 years. A random sample of 15 obituaries from newspapers from rural towns in Idaho give ?¯=77.57 and ?=0.64. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years? (a) State the null and alternative hypotheses: (Type "mu" for the symbol ? , e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)?0 : ?? : (b) Find the test statistic, t =The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 19 laboratory blood tests during the past year. Her average HC is 12.36 with s = 1.11. Is there evidence that her average HC is not 14? (a) State the null and alternative hypotheses: (Type "mu" for the symbol u , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) Но : На: (b) Find the standardized test statistic, t = (c) Answer the question: Is there evidence that her average HC is not 14? (Use a 1% level of significance) (Type: Yes or No)
- According to a report, the mean of monthly cell phone bills was $48.97 three years ago. A researcher suspects that the mean of monthly cell phone bills is less today. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type II error. (a) State the hypotheses. Ho: H,: (Type integers or decimals. Do not round.) (b) Explain what it would mean to make a Type I error. Choose the correct answer below. O A. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is different from $48.97, when in fact the mean of the bill is $48.97. B. The sample evidence did not lead the researcher to believe the mean of the monthly cell phone bill is less than $48.97, when in fact the mean of the bill is less than $48.97. C. The sample evidence led the researcher to believe the mean of the monthly cell phone bill is less than $48.97, when in fact the mean of the bill is $48.97. D.…According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a) Is the normality condition met for this test? (see picture) No, since the histograms show skewness and outliers . Yes, since both sample sizes are larger than 30. No, since both sample sizes, nY and nS, are less than 30. Yes, since it was stated that the two populations are normally distributed. b)What are the correct degrees of freedom for this test? Group of answer choices 999 1000 1712 1711 711According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. A) What are the correct null and alternative hypotheses? B)What is the parameter of interest? The difference between the mean weight of all males ages 20-29 and the mean weight of all males ages 75+ The mean weight (in kg) The difference between the mean weight of the sample of males ages 20-29 and the mean weight of the sample of males ages 75+ The mean difference between the weights of males ages 20-29 and males ages 75+ c)Is the randomness condition met for…
- The life expectancy of a male during the course of the past 100 years is approximately 27,747 days. Use the table to the right to conduct a test using a = 0.05 to determine whether the evidence suggests that chief justices live longer than the general population of males. Suggest a reason why the conclusion drawn may be flawed. State the appropriate null and alternative hypotheses. A. Ho: μ = 27,747 versus H₁: µ‡27,747 C. Ho: μ = 30,581 versus H₁: µ# 30,581 E. Ho: μ = 30,581 versus H₁: μ30,581 OF. Ho: μ = 27,747 versus H₁: µ> 27,747 Life Chief Life Chief Justice Span (Days) Justice Span (Days) 1 A B C D E F G H 32,084 32,961 32,914 29,794 32,946 30,640 26,112 32,423 J K L M N O P 31,412 29,302 27,346 32,069 32,476 29,152 30,548 27,118 State the conclusion for the test. Choose the correct answer below. A. Reject the null hypothesis. There is sufficient evidence to conclude that the mean life span of males is longer than 27,747 days. Thus, there is sufficient evidence to indicate that…Identify the error in the following hypotheses: Ho: P = 0.75 versus Ha: p > 0.75.According to the National Health and Nutrition Examination Survey (NHANES) sponsored by the U.S. government, a random sample of 712 males between 20 and 29 years of age and a random sample of 1,001 males over the age of 75 were chosen and the weight of each of the males were recorded (in kg). Do the data provide evidence that the younger male population weighs more (on average) than the older male population? Use “Y” for ages 20-29 and “S” for ages 75+. It was found that x̅Y=83.4, sY=18.7, x̅S=78.5, and sS=19.0. a)Suppose the test statistic is t = 2.398. What is the associated p-value? Group of answer choices 0.001 < p-value < 0.002 0.005 < p-value < 0.01 0.01 < p-value < 0.02 0.0005 < p-value < 0.001 b) Suppose the p-value is 0.02 < p-value < 0.04. At α = 0.10 what is the appropriate conclusion to make? Group of answer choices Fail to reject H0 and conclude that the mean weight of all males ages 20-29 is greater than the mean weight of all…
- What does am/n mean ?In the year 2000, General Social Survey respondents were asked "How many hours did they spend on their personal computer per week?". The researchers were interested in seeing if married people (group 2) spent less time on their personal computer than those who have never been married (group 1). For this hypothesis (Ho: mu2 - mu₁- O vs. Ha: mu2 - mu₁ < 0), the p-value was 0.0007. Interpret. With a p-value of 0.0007, the researcher has evidence that the [Select] personal computer per week is [Select] Select] [Select] some very strong statistically significant d time on their ed people.The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 290 Americans is administered the acupuncturists treatment and 41 report experiencing migraines.a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^=c. Suppose the P-value is calculated to be 0.0099What would your decision be for this test using α=α= 0.01? accept the null fail to reject the null reject the null d. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.