In a test of weight loss programs, 200 subjects were divided such that 40 subjects followed each of 5 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.025 significance level to test the claim that the mean weight loss is the same for the different diets. Source of Variation SS MS F P-value F crit 0.004046 2.852020 Between Groups Within Groups Total df 523.501 4 130.87535 3.9688 6430.330 195 32.97605 6953.831 199 ... Should the null hypothesis that all the diets have the same mean weight loss be rejected? OA. Yes, because the P-value is less than the significance level. OB. No, because the P-value is less than the significance level. OC. No, because the P-value is greater than the significance level. O D. Yes, because the P-value is greater than the significance level.

Is there a treatment that appears to be most effective in the sandy and dry region?

Is narcissism a more common personality trait today than it was a few decades ago?  It is known that the mean population score on the Narcissistic Personality Inventory (NPI) for students attending University of South Alabama around 20 years ago was μ= 15 (Twenge, 2010).  Interested in the narcissism levels of students in the year 2020, a researcher administers the NPI to a random sample of 25 University of Alabama sophomores this Spring term. The mean NPI score from the researcher’s sample of sophomores is M = 16.5, with s = 3.4. 1. Write the null and alternative hypotheses in symbols. Possible symbols for your answer: H0, H1, μ, M, σ. 2. Calculate the standard error.  3. Find the critical value for the test statistic, assuming alpha = .05 (Use largest [i.e., most conservative] value if exact value not given in the chart)  a) 2.064 b) 1.96 c) 1.98 d) 2.000

In a test of weight loss programs, 111 subjects were divided such that 37 subjects followed each of 3 diets. Each was weighed a year after starting the diet and the results are in the ANOVA table below. Use a 0.05 significance level to test the claim that the mean weight loss is the same for the different diets. Source of Variation Between Groups Within Groups Total P-value 25.38918 0.8127 0.446353 F crit 3.080387 df MS F 50.778 3373.977 3424.755 2 108 31.24053 110 Should the null hypothesis that all the diets have the same mean weight loss be rejected? O A. Yes, because the P-value is greater than the significance level. O B. No, because the P-value is greater than the significance level. OC. No, because the P-value is less than the significance level. O D. Yes, because the P-value is less than the significance level.

Given the following ANOVA table: Degrees Mean Source of of Variance Sum of Sum of F-stat Squares Freedom Squares | Regression 2 5.5 Residual 27 2.507 Total What is the value of SST? Please report your answer in 3 decimal places.

An analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below.    Complete the following ANOVA Table.           Source of Variation SS df MS F Between Groups         Within Groups 3719.48                 Total

The recommended hours of sleep per night for adults is 8 hours. A doctor, who works at a sleep study facility, believes average number of hours of sleep per night for adults is more than the recommended 8 hours. To test this claim, at th significance level, the doctor collects the following data on a sample of 25 adults at the sleep study facility and records amount of sleep. The following is the data from this study: Sample size = 25 adults Sample mean = 8.5 hours Sample standard deviation = 0.9 hours Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=#, t represent the correct hypothesis.) Provide your answer below: