When we carry out a chi-square goodness-of-fit test for a normal distribution, the null hypothesis states that the population
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When we carry out a chi-square goodness-of-fit test for a
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- Normal Distribution Review 1. Birth weights of babies in the United States can be modeled by a normal distribution with mean 3250 grams and standard deviation 550 grams. Those weighing less than 2500 grams are considered to be of low birth weight. (a) Sketch a normal distribution curve and shade in the region whose area correspopnds to the probability that a baby will have a low birth weight. (The probulalety that binth weeighis less than 2500=.08634 3250 density -sSO 2700 2760 370 380 4350 (b) Based on this shaded region (using the Empirical Rule and remembering that the total area under the normal curve is 1), make an educated guess for the proportion of babies born with a low birth weight. (c) Using Excel, find the proportion of babies born with a low birth weight. How did your computed answer compare to your educated guess? (d) What proportion of babies would the normal distribution predict as weighing more than 10 pounds (4536 grams) at birth? [Hint: Always start with a sketch of…A random sample of 20 binomial trials resulted in 9 successes. Test claim that the population proportion of successes does not equal 0.50. Use level of significance of 0.05. Can a normal distribution be used for the p distribution? State the hypotheses. Compute p and the corresponding standardized sample test statistic. Find the p value of the test. Do you reject or fail to reject Ho? What do the results tell?Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 40 and standard deviation of σ = 12. The sample of group-participation adolescents had an average of M = 43.84. Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with a α = .01. Compute Cohen’s d to measure the size of the difference. Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research report.
- Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a stan- dardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of p %3D 50 and %3D 15. The sample of group- a standard deviation of o %3D participation adolescents had an average of M = 53.8.Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution. 94 174 128 97 75 94 116 100 85 x = 91.7 lb s = 30.6 lb (a) Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)Chapter 16 covers nonparametric testing procedures. What does nonparametric mean? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a We are not testing population parameters. There is no data involved. The procedure is not based on the assumption of a normal distribution. There are no assumptions that have to be met in order to perform the procedure.
- A researcher has run an experiment on the effects of early cognitive simulation on children and their school success at age 10 years. He wants to compare his sample results to the normal distribution (z-distribution), but he is not sure whether the population distribution is normal or not. He comes to you as an expert in statistics for advice. Can he do this? Why or why not? What conditions must be met?Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution. 96 176 133 92 75 94 116 100 85 (b) Find a 90% confidence interval for the population average startup costs ? for candy store franchises. (Round your answers to one decimal place.) lower limit =upper limit=Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution. 98 174 132 90 75 94 116 100 85
- Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution. 97 174 128 91 75 94 116 100 85 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to four decimal places.) x = thousand dollars s = thousand dollars (b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.) lower limit thousand dollars upper limit thousand dollarsIs race a factor in the number of times a month a person eats out? The table below shows data that was collected. Hispanic White Black Asian 10 6 14 14 9 8 9 15 5 10 1 4 12 0 10 6 10 4 9 13 5 4 9 5 6 14 9 1 6 2 1 8 7 Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.H0: μ1=μ2=μ3=μ4H0: μ1=μ2=μ3=μ4Ha:Ha: At least two of the means differ from each other. For this study, we should use The test-statistic for this data = (Please show your answer to 4 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.)
