An employment information service claims the mean annual pay for full-time male workers over age 25 without a high school diploma is $22,275. The annual pay for a random sample of 10 full-time male workers over age 25 without a high school diploma is listed. At a = 0.10, test the claim that the mean salary is $22,275. Assume the population is normally distributed. 20,656 21,130 22,355 21,391 22,974 16,914 19,154 23,191 24,189 26,286 (c) Find the standardized test statistic. t= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject H, because the test statistic is not in the rejection region. O B. Fail to reject Ho because the test statistic is in the rejection region. OC. Reject Ho because the test statistic is in the rejection region. O D. Reject H, because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. O A. There is not sufficient evidence to reject the claim that the mean salary is not $22,275. O B. There is sufficient evidence to reject the claim that the mean salary is $22,275. O C. There is not sufficient evidence to reject the claim that the mean salary is $22,275.

According to the National Automobile Dealers Association, the mean price for used cars is $10,192. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership is below the national mean. The prices for the sample of 50 cars are shown in the file named UsedCars.  12400 10400 12100 10000 11000 8895 7675 9975 6350 10470 9895 11250 8795 12500 9340 10150 9200 9395 11000 10640 10000 7500 8000 10440 10200 10300 9740 9280 10930 8000 9000 7680 9400 10730 7350 12240 11970 8240 9910 10080 9440 8970 9500 10050 10130 11400 8500 7500 9090 10500   d. Report the critical value(s) associated with a 5% level of significance. What is your decision based on the critical value approach? (Reject Ho or fail to reject Ho?)  e. Compute the p-value of the…

Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours different from the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.5, 2, 2.9, 3.8, 4.6, 1.1, 1.8, 2.6, 1.4, 2.8, 4.5, 1.2, 1, 0.7, 3, 1.2 What can be concluded at the αα = 0.05 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? μ p  Select an answer < ≠ = >         H1:H1:  ? p μ  Select an answer < ≠ = >     The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer reject fail to…

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance?    A. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per…

The table below provides starting salary estimates for a number of health sciences occupations in Canada. Occupation Salary ($) Dietitian 49,000 Medical Technologist 47,000 EMT/Paramedic 54,000 Radiologic Technician 51,000 Dental Hygienist 58,000 Orthodontist 98,000 Optician 40,000 Radiation Therapist 55,000 Midwife 55,000 Massage Therapist 40,000 a. Calculate the mean salary using all the values. Round to the nearest cent b. Calculate the mean after removing the outlier(s) in the data set. Round to the nearest cent

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 142 lb, the boat was rated to carry 60 passengers (so the load limit was 8,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 142 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 60 passengers, and assume that the weights of people are normally distributed with a mean of 178.5 lb and a standard deviation of 36.9 lb. Find the probability that the boat is overloaded because the 60 passengers have a mean weight greater than 142 lb. The probability is 1.000. (Round to four decimal places as needed.) C.. b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,223 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,223 lb). The probability is. (Round to four decimal…