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- Is the amount of sodium (in milligrams) in brand-name cereals the same as the amount of sodium in generic cereals? The sodium content in milligrams from a random sample of some brand-name cereals is given in the table below. Brand-Name: x=139.92 , s=61.24 , n=21 Generic: x=154.33 , s=73.87 , n=24 Is there a difference between the sodium content in generic and brand-name cereals? Use a significance level of 0.10. hypothesis test is neededA professor believes that his math students have different IQ than the average college students. He collected the IQ scores of 30 students in his class. Then, he compared it to the average IQ score of college students. Provided below is the data that the professor gathered.Sample:Mean: 103 Std. Dev: 7 N: 30 Population: Mean: 100 Std. Dev: 5 A). What is the type of test you will use? (z-test, single-sample t-test, paired-samples t-test, or independent samples t-test) and why (what information provided in the problem) B). What are the hypotheses (Be Specific)Calculate the test statistic for the given scenario. Round your answer to 3 decimal places p-p Vpg/n A company claims the 85% of their employees are happy with their work environment. A survey of 50 employees is taken in which 45 say they are happy with their work environment.
- A cybersecurity team would like to detect the malwares in the software. They detect more than 42.5% malwares.From random sample of 200 softwares,76 had malwares.Calculate the value of test statistic. The value of test statistic is (Round your answer to three decimal places.)What is percentile rank of 20?. Please answer correctly.The percent of the population that is left-handed has historically been 10%. In a random sample of n=500 people there are 58 that are left-handed. The researcher would like to test the hypothesis that the percent of the population that is left-handed has increased. Determine the value of the test statistic
- how to do thisThe test scores of 16 students are listed below: 44, 46, 51, 57, 60, 63, 65, 70, 75, 76, 85, 87, 90, 94, 95, 97. (c) Find the third quartile of the above data.Find the standardized test , z to test the claim that p1 = p2. The sample statistics listed below are from independent samples.
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.46. Your sample data produce the test statistic z=1.883. Find the p-value accurate to 4 decimal places.You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats.You sample 190 men, and 71 own cats.You sample 130 women, and 114 own cats.Find the test statistic, rounded to two decimal placesNatural Gas Heat The Energy Information Admin- istration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 200 homes found that 115 were heated by natural gas. Does the evidence support the claim, or has the percent- age changed? Use a = 0.05 and the P-value method.