A developmental psychologist studies moral awareness in adolescents. Casual observation suggests that girls develop earlier than boys although most past research contains male participants. One test of moral awareness, standardized on male teens, has a mean of 72 and standard deviation of 18. The test is administered to 58 13-year-old girls, whose mean score is 76. Test the hypothesis that females test differently from males. binomial test Kruskal-Wallace H O one-sample t one-sample z
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A: SolutionSample size = n= 50Sample mean = 765Sample sd = s = 98HypothesesHo: μ =720H1: > 720
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- A learn-to-type software program claims that it can improve your typing skills. To test the claim and possibly help yourself out, you and eight of your friends decide to try the program and see what happens. Use the table below to construct an 85%85% confidence interval for the true mean change in the typing speeds for people who have completed the typing program. Let Population 1 be the typing speed before taking the program and Population 2 be the typing speed after taking the program. Round the endpoints of the interval to one decimal place, if necessary. Typing Speeds (in Words per Minute) Before After 42 33 41 54 31 50 30 48 41 31 49 52 34 54 48 49 39 48What is a Type II error? a. Ho is rejected and there is an effect b. Ho is rejected but there is no effect c. Ho is retained but there is an effect d. The wrong standard deviation is calculated.Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
- Saving gas Congress regulates corporate fuel economyand sets an annual gas mileage for cars. A companywith a large fleet of cars hopes to meet the 2011 goal of30.2 mpg or better for their fleet of cars. To see if thegoal is being met, they check the gasoline usage for50 company trips chosen at random, finding a mean of32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel econ-omy goal? a) Write appropriate hypotheses.b) Are the necessary assumptions to make inferencessatisfied?c) Describe the sampling distribution model of mean fueleconomy for samples like this.d) Find the P-value.e) Explain what the P-value means in this context.f) State an appropriate conclusion.A psychologist is interested in whether working memory is influenced by sleep loss. The psychologist administers a measure of working memory to a group of subjects at 8 A.M. on day 1 of the study and then again at 8 A.M. on day 2 of the study, after keeping the subjects awake the entire night. Does sleep loss affect working memory? What statistical analysis should be performed to answer this question? Question 10 options: single-sample t test z test standard deviation analysis paired-samples t testUtility bills for single family homes are at least $150 per month. After an improvement in infrastructure, the utility company would like to determine if the utility bills are now less than $150 per month. The next 25 utility bills averaged $145.25 per month with the sample standard deviation of $10. At 0.10 significance level, test if the bills are less than $150. 1. Which of the following (A,B,C,or D) would be the correct hypothesis statement? A. Ho: p ≤ 0.25 Ha: p > 0.25 B. Ho: >= 150 H₂: μ 150 D. Ho: M 130 H₁: μ> 130 2. The critical value is 3. The statistical value in this problem is... three decimal places 4. The p-value range associated with the test statistic from the t table is ... 5. At a 10% level of significance, will the decision be to Reject or DNR?
- I need help.Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 21.2 with a standard deviation of 4.1, while the 200 students in group 2 had a mean score of 17.5 with a standard deviation of 3.8. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, H, - H2. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.) Interpret the interval. Choose the correct answer below. O A. There is a 95% probability that the difference of the means is in the interval. O B. The researchers are 95% confident that the difference of the means is in the interval. O C. The…Do political science classes require more writing than history classes? The 54 randomly selected political science classes assigned an average of 16.4 pages of essay writing for the course. The standard deviation for these 54 classes was 4.8 pages. The 52 randomly selected history classes assigned an average of 15.8 pages of essay writing for the course. The standard deviation for these 52 classes was 4.6 pages. What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer H1: Select an answer Select an answer Select an answer b. The test statistic ? V = (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? Va e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... |(Please show your answer to 4 decimal places.) ] the null hypothesis. O The results are statistically…
- Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the a = 0.05 level of significance and the P-value State the appropriate null and alternate hypotheses. Compute the value of the test statistic. Round the answer to at least three decimal places. Input the correct interval for the P-value. Determine whether to reject H0 State a conclusion.Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 85 people had a mean FICO score of 750 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the α = 0.05 level of significance and the P-value method and Excel. (a) State the appropriate null and alternate hypotheses. Ho: H₁: This hypothesis test is a (Choose one) test. left tailed right-tailed two tailedasap