Two groups of individuals were comp a high carbohydrate low-fat diet (LF) carbohydrate diet (LC). Mood was ass mood disturbance score where a lowe with a less negative mood. Assuming samples come from independent norr with a common but unknown varianc
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- In attempting to improve student services, a college investigates its registration process and finds that for 12 randomly selected students, the mean registration time was 73.2 minutes with a standard deviation of 14.2 minutes. Another college finds that for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assume equal population variances.A study was conducted to identify if there is a significant difference with two brands of shampoo. Random sample A of 25 sheets of shampoo with a mean content of 237 grams and standard deviation of 8.56 grams. Another sample B of 20 sheets pf shampoo showed a mean content of 240 grams and standard deviation of 9.75 grams. Using 0.05 level of significance, conduct hypothesis testing assuming that variances are equal.In attempting to improve student services, a college investigates its registration processand finds that for 12 randomly selected students, the mean registrationi timewas 73.2 minutes with a standard deviation of 14.2 minutes. Another collegei findsthat for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assumeequal population variances.
- In a study to compare two different corrosion inhibitors, specimens of stainless steel were immersed for four hours in a solution containing sulfuric acid and a corrosion inhibitor. Forty-seven specimens in the presence of inhibitor A had a mean weight loss of 242 mg and a standard deviation of 20 mg, and 42 specimens in the presence of inhibitor B had a mean weight loss of 220 mg and a standard deviation of 31 mg. Find a 95% confidence interval for the difference in mean weight loss between the two inhibitors.Two suppliers manufacture plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1= 12, while another random sample of 16 gears from the second supplier results in x2 = 321 and s1 = 22. Construct a 96% confidence interval and assume that both populations are normally distributed with equal variances. is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Explain your answer?A random sample of 62 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 37 of these helmets some damage was observed. Find a 90% two-sided confidence interval on the true proportion (p) of helmets of this type that would show damage from this test. 0.517 <= p <= 0.677 0.597 <= p <= 0.677 0.517 <= p <= 0.699 0.494 <= p <= 0.699 0.494 <= p <= 0.677
- In a manufacturing process, a random sample of 9 manufactured bolts has a mean length of 3 inches with a sample variance of .09 and is normally distributed. What is the 90 percent confidence interval for the true mean length of the manufactured bolt?In a random sample of 41criminals convicted of a certain crime, it was determined that the mean length of sentencing was 66 months, with a standard deviation of 10 months. Construct and interpret a 90% confidence interval for the mean length of sentencing for this crime.For an analysis of variance (ANOVA) comparing four treatment conditions, dfbetween = 3. True False
- In a study using 10 samples, and in which the population variance is unknown, thedistribution that should be used to calculate confidence intervals is?Independent studies show that the everage salary of 38 r/s woman with a PhD degree is 90.2 K$ with standart deviation 10.8 K, while the average and the standart deviation of 33 r/s men with a PhD degree are 92.6 K$ and 8.37 K$. Construct a 90% confidence interval for the difference between the overall average sallaries of women and men, respectively, with a PhD degree.In a study of academic procrastination, the authors of a paper reported that for a sample of 431 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.54 hours and the standard deviation of study times was 3.90 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university. (a) Construct a 95% confidence interval to estimate ?, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.)( , )(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam. n = 431 x = 43.88 s = 21.66 Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior…