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1. A psychotherapist studied whether his clients self-disclosed more while sitting in an easy chair or lying down on a couch. All clients had previously agreed to allow the sessions to be videotaped for research purposes. The therapist randomly assigned 10 clients to each condition. The third session for each client was videotaped and an independent observer counted the clients' disclosures. The therapist reported that "clients made more disclosures when sitting in easy chairs (M = 18.20) than when lying down on a couch (M = 14.31), t(18) = 2.84, p < .05, two-tailed." Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.2. A researcher compared the adjustment of adolescents who had been raised in homes that were either very structured or unstructured. Thirty adolescents from each type of family completed an adjustment inventory. The results are reported in the table below. Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.Means on Four Adjustment Scales forAdolescents from Structured versus Unstructured HomesScale Structured Homes Unstructured Homes tSocial Maturity 106.82 113.94 -1.07School Adjustment 116.31 107.22 2.03*Identity Development 89.48 94.32 1.93*Intimacy Development 102.25 104.33 .32______________________*p < .053. Do men with higher levels of a particular hormone show higher levels of assertiveness? Levels of this hormone were tested in 100 men. The top 10 and the bottom 10 were selected for the study. All participants took part in a laboratory simulation in which they were asked to role-play a person picking his car up from a mechanic's shop. The simulation was videotaped and later judged by independent raters on each of four types of assertive statements made by the participant. The results are shown in the table below. Explain these results to a person who fully understands the t test for a single sample but knows nothing about the t test for independent means.Mean Number of Assertive StatementsType of Assertive StatementGroup 1 2 3 4Men with High Levels 2.14 1.16 3.83 0.14Men with Low Levels 1.21 1.32 2.33 0.38t 3.81** 0.89 2.03* 0.58______________________*p < .05; **p < 0.14. A manager of a small store wanted to discourage shoplifters by putting signs around the store saying "Shoplifting is a crime!" However, he wanted to make sure this would not result in customers buying less. To test this, he displayed the signs every other Wednesday for 8 weeks, for a total of 4 days displayed. He recorded the store's sales for those four Wednesdays and then recorded the store's sales for the four alternate Wednesdays, when the signs were not displayed. On the Wednesdays with the sign, the sales were 83, 73, 81, and 79. On the Wednesdays without the sign, sales were 84, 90, 82, and 84.Do these results suggest that customers buy less when the signs are displayed? (Use the .05 significance level.)a. Use the five steps of hypothesis testing.b. Sketch the distribution involved.c. Figure the effect size.d. Explain what you did to a person who is familiar with the t test for a single sample but is unfamiliar with the t test for independent means.****IMPORTANT***1) Show all work when appropriate2) Explain/Answer in layman's terms.
The following data set shows the ages of the first 7 presidents and the 7 most recent presidents including President Obama. Find the mean, median, and range for each of the two data sets.
Test at the 1% significance level whether currently all adult men spend less than 11 hours per week watching sports on tv. Calculate the p-value for this problem and conduct the test using the p-value method.
Use a 1% level of significance to test the claim that the distribution of first nonzero digits in the account file does not follow Benford's Law.
A researcher is conducting proportionate stratified random sampling with a sample size of 250. Approximately how many people should be sampled from each stratum?
A random sample of 16 ages is drawn from the population, and we find the sample mean of these observations to be μ = 8.76. What is the value of the test statistic?
Length of smoking time was recorded for each. Mean was =140 hours. Suppose = 8 hours. Determine 95% confidence interval for mean amount of time grocery-store ham is smoked.
Use the binomial distribution in the Data Analysis add - in to simulate the distribution of men and women among the next ten arrivals at an emergency room, assuming that, on average, six people out of ten who arrive are men.
Analyze whether or not patients undergoing this treatment are illustrating significant change from baseline to 3 months afterward. Report a p-value.
Assuming that the population variances are equal for male and female Grade Point Averages (GPAs), use the following sample data to test whether the averages are different at the 0.05 level of significance.
Test the claim about population mean, u, at given level of significance using given sample statistics. Find out critical value(s).
You need to estimate the mean number of travel days per year for outside salespeople. The mean of a small pilot study was 150 days, with a standard deviation of 42 days.
Given this Analysis of Variance information for three treatments each with six observations.with SST =1116, SSE=1068, SSTotal =2184. What is the mean square for treatments?
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