Provide an appropriate response. A researcher records the number of employees of each of the IT companies in the town of Westmoore. The results are summarized in the table. Number of Number of IT Employees Companies |0-249 33 250-499 22 500-749 8 750-999 7 Find the class width. 249.5 250 1249
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- A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01α=0.01 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 198198 200200 159159 202202 185185 150150 148148 149149 175175 Blood pressure (after) 191191 174174 151151 178178 159159 140140 140140 141141 161161A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.05α=0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 156156 155155 167167 176176 191191 160160 159159 197197 181181 Blood pressure (after) 146146 144144 154154 161161 165165 146146 148148 171171 155155 Copy Data Step 1 of 5 : State the null and alternative hypotheses for the test.A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.05α=0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 156156 155155 167167 176176 191191 160160 159159 197197 181181 Blood pressure (after) 146146 144144 154154 161161 165165 146146 148148 171171 155155 Copy Data Step 2 of 5 : Find the value of the standard deviation of the paired differences. Round your answer to one…
- A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 2 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim? Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.1 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug. Patient 1 2 3 4 5 6 7 8 9 Blood pressure (before) 185 160 187 192 204 203 203 196 203 Blood pressure (after) 166 151 170 186 181 194 179 175 181 Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one…Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55%of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the α=0.1 level of significance? Complete parts (a) through (g).When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 33% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 69 of the dragon eggs to incubate. Consider all the possible samples of 69 dragon eggs.What is the usual number of yellow eggs in samples of 69 eggs? (Give answers as SENSIBLE whole numbers.)minimum usual number of yellow eggs = 11 (incorrect)maximum usual number of yellow eggs = 35 (incorrect)
- A research company has designed three different systems to clean up oil spillages. The following table contains the results, measured by how much surface area (in square meters) is cleared in 1 hour. The data were found by testing each method in several trials. Is there any significant difference in the testing of effectiveness of the three systems? Use the 0.05 level of significance. System A System B System C 256 258 267 261 254 253 264 265 262 257 250 258 260 263 - 256 - -A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 93% of patients taking the drug are healed within 8 weeks. In clinical trials, 215 of 229 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the α=0.05 level of significance. Because np01−p0=nothing ▼ less than< equals= greater than> not equals≠ 10, the sample size is ▼ greater thangreater than less thanless than 5% of the population size, and the sample ▼ cannot be reasonably assumed to be random, is given to not be random, is given to be random, can be reasonably assumed to be random, the requirements for testing the hypothesis ▼ are are not satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? H0: ▼ sigmaσ muμ pp ▼ greater than> not equals≠ equals=…A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 92% of patients taking the drug are healed within 8 weeks. In clinical trials, 210 of 226 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturers claim at the a=0.05 level of significance
- Kindlt assist with the question below. An epidemiologist who is working in Capricorn Department of Health investigated the occurrence ofCOVID-19 disease during winter season and found 275 COVID-19 cases out of 10,000 residents ofthe district. Based on these collected data, he would like to proof the claim that "during winter seasonthe proportion of patients with COVID-19 in Capricorn district is less than 3%". Using 5% level ofsignificance, write and test the above claim, following a) wald testThe table shows the number of households burglarized in a sample of households with dogs and in a sample of households without dogs. Assume that you plan to use a significance level of a=0.01 to test the claim that a smaller portion of households with pet dogs are burglarized? Household with dog household without dog Number of households in sample 206 140 Number of households burglarized 20 11A CEO claims that men and women working for his company have equal opportunities to earn bonuses. A lawyer working on a lawsuit filed by a female employee claims that men have greater bonus opportunities than women working at the company. Test this claim at the α = 0.05 level of significance. Let p M represent the proportion of men working for the company that have received a bonus in the past year and p W represent the proportion of women working for the company that have received a bonus in the past year. Select the correct hypotheses for this test: H 0 : p M ≠ p W , H a : p M > p W H 0 : p M = p W , H a : p M < p W H 0 : p M = p W , H a : p M ≠ p W H 0 : p M = p W , H a : p M > p W In a random sample of 171 men, 147 had received a bonus in the past year. In a random sample of 232 women, 182 had received a bonus in the past year. Find the test statistic (round to 4 decimal places): Find the p-value (round to 4 decimal places): Select the correct decision: Reject the Null…
