determine whether the company’s claim is justified at the 0.05 significance level.
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Sign Test
The JBC Company claims that the lifetime of a type of battery that it manufactures is more than 250 hours. A researcher wishing to determine whether the claim is justified measures the lifetime of 24 batteries; the result are listed below
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219 225 275 230 224 291 288 216 268 243 252 295 272 294 211 264 253 236 262 253 284 282 198 271 |
Assuming the sample to be random, determine whether the company’s claim is justified at the 0.05 significance level.
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- A researcher has compiled a file of information on a random sample of 317 families that have chronic, long-term patterns of child abuse. Reported below are some of the characteristics of the sample, along with values for the city as a whole. For each trait, test the null hypothesis of "no difference." You must state your hypotheses; compute the test statistic; and explain your decision for each. a. Family size (proportion of families with four or more children) City: proportion = 0.21 Sample: proportion = 0.26 b. Father's occupational stability (average years in present job) City: mean = 5.2 Sample: mean = 3.7, s = 0.5 c. Relations with kin (proportion of families that have contact with kin at least once/ week) City: proportion = 0.82 Sample: proportion = 0.43A study of seat belt yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke dy are less concerned about their health and safety and are therefore less inclined to wear seat belts. Is this theory supported by the sample data? 5 sic Click the icon to view the data table. use. ..... Hа: Heavy Determine the test More info izlet. y of X-(Round to claim Number of Cigarettes Smoked per Day 15-34 Determine the P-v 1-14 35 and over le wh Wear Seat Belts 190 13 36 10 P-Value = (Rou Don't Wear Seat Belts 152 13 45 ww.nur y is that people ry supported by Use a 0.05 signific who smoke are les the sample data? nour seat Done theory is not zed in t Print O A. There is nd supported S Top eat belt. The O B. There is no theory is supportou Dy ao vampIG Gutu. O C. There is sufficient evidence to reject the claim that heavy smokers…Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?
- Probability of a TYPE I error in a population mean hypothesis testing can be reduced using the following methods (choose all what you think is correct) : A. Increasing sample size B. Decreasing sample size C. Decreasing significance level D. Increasing significance levelFind the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 equals smooth-yellow, 2 equals smooth-green, 3 equals wrinkled yellow, and 4 equals wrinkled-green. a. The range of the sample data is (Type an integer or a decimal. Do not round.) b. the standard deviation of the sample data is (Round to one decimal place as needed.) c. The variance of the sample data is (Round to one decimal place as needed.)A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Other Nike Adidas Protestant 95 83 100 Catholic 68 69 93 Jewish 15 23 26 Other 76 81 94 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Independence Homogeneity Goodness-of-Fit Paired t-test b. What are the null and alternative hypotheses? Но: Sneaker brand and religious affiliation are dependent. The distribution of sneaker brand is not the same for each religion. Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is the same for each religion. H1: Sneaker brand and religious affiliation are independent. The distribution of sneaker brand is the same for each religion. The distribution of sneaker brand is not the same for each religion. O Sneaker brand and religious…
- A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample Magnitude of Earthquake 0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.320 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.410 1.280 0.830 1.320 0.540 1.250 0.920 1.000 0.780 0.790 1.440 1.000 2.240 2.500 1.790It is common to think that the more education anindividual receives, the higher the person's income is likely to be. Does this idea translate to states? The following data represent the percentage of the population that has at least a bachelor s degree and the per capita personal income for a random sample of states. Test the claim that states with a higher percentage of the population with at least a bachelor's degree have a higher per capita personal income at the 0.05 level of significance. Data Percentage of Population with atLeast a Bachelor's Degree Per Capita Personal Income (Dollars) State Arkansas 17.4 24,289 California 29.8 33,749 Iowa 24.6 29,043 Louisiana 22.3 26,100 Maine 23.7 28.831 Nebraska 26.8 30,758 Ohio 25.0 29,944 Oregon 26.4 29.340 Texas 24.7 29,372 Source: Statistical Abstract of the United States, 2004
- Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.Random digit dialing telephone surveys used to exclude cell phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30 years old. Here’s what the Pew survey found about how these people describe their political party affiliation. What is the chi-square test statistic value? Round to two decimal places.Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…
