State the appropriate null and alternate hypotheses.
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A: Male : mean = 48.25 S.D = 5.25 n = 20 Female : mean = 38.5 S.D = 8.10 n = 20
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Big fish: A sample of
flounder of a certain species have sample
grams. Scientists want to perform a hypothesis test to determine how strong the evidence is that the mean weight is less than
grams. State the appropriate null and alternate hypotheses.
Sample of size n=250 and sample mean of weight X̄ = 50.5 gram
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- A sample of 100 observations from a normal population has a mean of 50 and a standard deviation of 10. The null hypothesis is that the population mean is equal to 48, and the alternative hypothesis is that the population mean is greater than 48. Using a significance level of 0.05, what is the decision and conclusion of the hypothesis test?For a random sample of 47 high school seniors in the United States in 2019, the average of typical sleep time on a school night is 6.8 hours with a standard deviation of 1.2 hours. (Source: Data are downloaded from U.S. Census at School a) We want to test if the mean sleep time on a school night for all high school seniors in the United States is less than 7 hours. State the hypotheses of a one-sided significance test. b) ) Calculate the test statistic. I Show how to make a c) conclusion for this test, using the significance level 0.05. d) ) If your conclusion in part c) were in error, what type of error would it be? e) ) Construct a 95% confidence interval for the population mean sleep time on a school night for all high school seniors in the United States.In a hypothesis test, if the null hypothesis states that the population mean is equal to 100 with a standard deviation of 15, and the sample mean is 108 with a sample size of 36, what is the calculated z-score for this test?
- Conduct a full hypothesis testing on the following problem and then choose among the options what best fits the items being asked: Average heart rate for Filipinos is 91 beats/minute with a population standard deviation of 8.7 beats/minute. A group of 24 individuals participated in an aerobics fitness program to lower their heart rate. After six months the group was evaluated to identify if the program had significantly slowed their heart. The mean heart rate for the group was 88 beats/minute. Was the aerobics program effective in lowering heart rate at 5% significance level? Note: Round off the test statistic to 3 decimal places. If two-tailed test is to be applied, the given critical values as options are considered the absolute values. Identify the following: - Alternative Hypothesis: [Select] • Critical Value: [Select] - Test Statistic: [ Select] • Conclusion: [ Select]State the appropriate conclusion for the hypothesis test. Use the p-value toindicate how significant the sample data are.A. Claim: More than 2 out of 3 dentists choose Zest. p-Value = 0.045. Significancelevel, " = 0.05.B. It is not true that the average age of the top 200 tennis players is equal to 25. p-Value= 0.063. Significance level, " = 0.05.C. The tires on new cars last less, on average, than 40,000 miles. p-Value = 0.015.Significance level, " = 0.01A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. What is the null hypothesis for this question? Group of answer choices a. The proportion of people who pass the test is 5. b. The mean test score of the population is 5. c. The mean test score of the 50 people who took the test is 5. d.The standard deviation is 2.6
- What is the null and alternative hypotheses for the average weight of dogs is 15.6 pounds?More than 59% of adults would erase all their personal information. The hypothesis test results in a p value of .0241. State a conclusion about the null hypothesis. Without using technical terms state a final conclusionIn 1995, it was determined that 78% of US citizens supported a ban on household aerosols. Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. In a SRS of 500 citizens taken this year, 350 supported the ban. Determine the pvalue associated with the test. find null and alternate hypothesis.
- An article reports that blue eyed people earn less than brown eyed people. Average blue eyed salary, $35,000, average brown eyes $37,000, p-value 0.45. Based on that reported p-value and using the common definition of "statistical significance" which is the case?the city's waste manager is interested in testing to see if the mean amount of garbage per bin is different from 50 pounds. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.a) What are the appropriate null and alternative hypotheses? a. H0: ? = 50 versus Ha: ? < 50 b. H0: ? = 50 versus Ha: ? ≠ 50 c. H0: x = 50 versus Ha: x ≠ 50 d. H0: ? = 50 versus Ha: ? > 50 B.) What is the test statistic? C.) What is the P-value for the test?The Woodcock-Johnson Cognitive Ability (WJCA) test indicates that the average score is 95. The same group of 12th grade students (n = 72) in Columbus are tested and the sample mean is 110.1 and the sample standard deviation is 15.2. Do the scores provide good evidence that the mean WJCA score of this population is greater than 95? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.
