Past records suggest that the mean annual income,  μ1 , of teachers in state of pennsylvania is less than or equal to the mean annual income,  μ2 , of teachers in Illinois. In a current study, a random sample of  15  teachers from pennsylvania and an independent random sample of  15  teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows:   Annual income in dollars pennsylvania 49204, 44644, 56205, 45100, 40385, 50560, 47642, 46225, 41540, 49653, 47472, 45562, 57841, 45448, 45279 Illinois 41795, 41712, 40832, 39785, 46177, 50496, 36066, 38146, 40326, 50170, 38444, 49513, 46034, 50010, 37844 The population standard deviation for mean annual income of teachers in pennsylvania and in Illinois are estimated as  6400  and  6100 , respectively. It is also known that both populations are approximately normally distributed. At the  0.1  level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of pennsylvania is less than or equal to the mean annual income of teachers in Illinois? Perform a one-tailed test.    The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic:(Round to at least three decimal places.)   The critical value at the  0.1  level of significance:(Round to at least three decimal places.)   Can we reject the claim that the mean annual income of teachers from pennsylvania is less than or equal to the mean annual income of teachers from Illinois?   Yes     No

2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.

130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 18 0.1385 18 1 21 0.1615 39 2 20 59 3 15 0.1154 4 16 0.1231 90 10 0.0769 100 6 0.1231 116 7 14 0.1077 130 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 5 times per week?

The provided table shows the in-state undergraduate tuition in 2014 and 2018 for 33 public universities.Virginia's data was identified as an unusual observation. Remove it from the dataset before performing the following analysis.Year2014Year2018Year2014Year2018Year2014Year2018UniversityUniversityUniversityPenn State17,50218,454Ohio State10,03710,726Texas979810,606Pittsburgh17,77219,080Virginia12,99817,564Nebraska80709154Michigan13,48615,262Cal-Davis15,58914,463lowa80799267Rutgers14,29714,974Cal-Berkeley12,97214,184Colorado10,78912,532Michigan StateCal-Irvine14,75715,614Iowa State7731898813,81314,460Purdue10,0029992North Carolina83468987Maryland942710,595Illinois15,02015,094Cal-San Diego13,45614.199Kansas10,44811,148Minnesota13,62614,693Oregon991811.898Arizona10,95712,487Missouri11,02112,055Wisconsin10,41010,555Florida63136381Buffalo887110,099Washington12,39411,517Georgia Tech11,39412,424Indiana10,38810,681UCLA13,02913,774Texas A&M917910,968Click to download the data in your…

130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week Frequency Relative Frequency Cumulative Frequency 0 16 0.1231 16 1 21 0.1615 37 2 17 0.1308 54 3 15     4 15 0.1154 84 5 14 0.1077 98 6 16 0.1231 114 7   0.1231 130 a.  Complete the table (Use 4 decimal places when applicable) b.  What is the cumulative relative frequency for flossing 5 times per week? %

Monthly salary computations from two different clothing companies yielded the following data: n=7, ?=9,130$, ?=386$; ?= ?, ?=8,840$, ?=212$. At the level of significance 0.05, can we conclude that the mean monthly salary from the two companie is not the same?

The Mathematics section of the ACT test had a mean of 20.9 and an SD of 5.3 for the years 2013–2015. Suppose these are well modeled by a Normal distribution. ​a) About what percent of students scored over 33? ​b) About what percent of students scored under 16? ​c) About what percent of students scored between 16 and 33?

Given the following list of data, what is the five-number summary?110, 111, 140, 190, 199, 204, 238, 270, 279, 310, 320 Select the correct answer below:   Min Q1 Median Q3 Max 100 140 204 279 350   Min Q1 Median Q3 Max 110 111 204 279 300   Min Q1 Median Q3 Max 110 140 204 279 320

The National Study of the Changing Work Force conducted a study of 2958 wage and salaried workers on issuesranging from relationships with their bosses to household chores. The data were gathered through hour-longtelephone interview with a nationally representive sample. In response to the questions “What does your job meanto you?” 1538 people responded that they “Receive personal satisfaction from success at work.” Let p be thepopulation proportion of people who receive personal satisfaction from success at work. (a) Find a 95% CI for the true value of p. (b) How large of sample is needed if we wish to be 99% confident that the sample proportion of p is within1% of the true population proportion.

According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%).  Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores.  If you want you can use JASP for help with the calculations.  Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05.   a. State the hypotheses of the study. b. Find the critical t value for this studyc. Compute the one-sample t test. d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher?  Do you reject the null hypothesis?   Report the t test results in APA format…