A sıngle serving bag of Ray's Classic Potato Chips is listed on the package to be 28.3 grams. The manufacturing process for potato chips can vary from bag to bag so routinely check quality control in order to make sure that bags are being weighing at least 28 grams. A random sample of 25 bags of Ray's chips was selected from the standard deviation of 0.2 grams. Is there evidence that the average weight of Ray's Classic Potato Chips is less than 28 grams? State the correct null and alternative hypothesis. O a. Ho x = 28.05, HA T> 28.05 ΟDHO μ= 28.3 , HA μ < 28 O C. Ho: H = 28.3, HA x = 28.05 Ο d. Ho. μ= 28, HA μ< 28
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- People often wait till middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial (The Wall Street Journal, January 10, 2012). Having higher than normal blood pressure, a condition known as hypertension, is a major risk factor for heart disease. Suppose a large sample of individuals of various ages and gender was selected and that each individual’s blood pressure was measured to determine if they have hypertension. For the sample data, the following table shows the percentage of individuals with hypertension. Develop a side-by-side bar chart with age on the horizontal axis, the percentage of individuals with hypertension on the vertical axis, and side-by-side bars based on gender. What does the display you developed in part (a), indicate about hypertension and age? Comment on differences in gender. Age Male Female 20 - 34 11.0% 9.0% 35 – 44…Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
- The q researcher who was working on the study from the data set labeled "Type of Bike 1" decided that the variability within the two groups was too large. To handle this issue, she decided to pair by rider. She took one random sample of 17 riders and allowed each rider to use both a carbon- framed bike and a steel-framed bike. In addition, on the day each individual was to ride, she flipped a coin to see which bike the rider would use on the first of the two rides. The same variable (time to Mason in minutes from a distance three miles away) was recorded for each rider using both types of bikes. We are still testing the claim that a difference exists in the mean time it takes to ride to Mason from the distance of three miles away for different bike frame types. The data set is called "Type of Bike 2" and we will use α = 0.05 in this investigation. - Define the population parameter in context in one sentence. - State the null and alternative hypotheses using correct notation.A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of 20 childcare workers from New York and an independent random sample of 20 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 46686 , 34979 , 47325 , 48892 , 51128 , 56792 , 47785 , 48995 , 57301 , 55176 , 48002 , 45718 , 50351 , 58527 , 47067 , 53699 , 54361 , 49727 , 36426 , 50870 Illinois 48009 , 46871 , 42774 , 49790 , 43163 , 45401 , 41068 , 50300 , 47064 , 42003 , 47775 , 41917…It is believed that a sweetener called xylitol helps prevent ear infections. In a randomized experiment, 165 children took a placebo and 68 of them got ear infections. Another sample of 159 children took xylitol and 46 of them got ear infections. The scientists believe that the proportion of ear infections in the placebo group will be greater than the xylitol group. Test this hypothesis at α = 0.025.
- Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 18 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1375 Gy , with a sample standard deviation of 75 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1350 Gy .It was reported that only one job vacancy was available for three recent college graduates. The main reason is that there is an excess of college graduates and a weak national economy. A survey of 100 recent graduates from your college reveals that 60 graduates have found work. At the 0.05 level of significance, can we conclude that the proportion of graduates who have found employment is greater?As the plant operations manager for Oxford Biotech, you are responsible for monitoring the amount of product placed in each carton. To be consistent with package labeling, cartons should contain a mean of 30 grams of product. Thousands of cartons are produced during a shift, and weighing every single carton was determined to be too time-consuming, costly, and inefficient. Instead, a random sample of cartons is selected. Based on your analysis of the sample, you had to decide whether to maintain, alter, or shut down the process.Using the concept of the sampling distribution of the mean, you are able to determine probabilities that such a sample mean could have been randomly selected from a population with mean of 30 grams. Specifically, if a sample size of n = 20 is selected from a population with mean of 30 grams and standard deviation of 0.60, you calculate the probability of selecting a sample with a mean of 29.85 grams or less to be ____.
- A young professor found out from a senior professor that psychology students in St. Alex University tend to do good in their Social Science subject, claiming that historically, the mean grade of psych students in the said course is 1.50. Curious if this claim was true, the young professor took a random sample of 9 students who took Social Science subject. Before collecting data, he was undecided about his own claim because he knew of some students who did really good in the course but has also encountered others who did poorly. He found that their mean grade for the course is 1.35 with a standard deviation of 0.50. Use the Test of Significance Approach in testing the young professor’s claim. a. Estimate μ at 90% confidence interval. b. Between z and t, which is more appropriate to use given the data? Why? c. What are the chances that your estimate of μ was wrong? Describe and explain a potential source of error to your estimate. d. Holding % of CI constant, what can you do to lower…An American medical team wishes to test whether passive smoking affects the chance of children contracting bronchitis. Historically, the disease has been known to occur at least once in 20% of children aged 12. The team analysed the results of a random sample of 250 12-year-old children who were passive smokers, and found that 30 of these had contracted bronchitis at least once in their lives. Use a 5% level of significance to test the claim that the proportion of children who are passive smokers is 20%. What is the null and alternate hypotheses What is the value of the test statistic from below z = 3.16 z = -3.16 z =3.89 z = -3.89 What is the p-value from below 0.0016 0.0008 0.0000 0.0001 Based on this evidence, what is the conclusionMost major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 363 had more than one bag. Complete parts a through d below. a. Based on this sample, develop and interpret a 95% confidence interval estimate for the proportion of the traveling population that would have been impacted had the one-bag limit been in effect. Determine the confidence interval. ?? ——— ?? (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the…