1-Determine the critical value (s) for a two-tailed hypothesis test…
Question Answered step-by-step 1-Determine the critical value (s) for a two-tailed hypothesis test… 1-Determine the critical value (s) for a two-tailed hypothesis test for a mean with the given characteristics. Round any z-value solution to two decimal places. Round any t-value solution to four decimal places.-The significance level of the test is 5%- The sample size is 40- The population standard deviation is known to be 7Should t or z distribution be used for the above scenario?- The student’s t distribution should be used- The standard normal (z) distribution should be usedThe critical value (s) for the given by t or z = 2- A car battery manufacturer claims that its car batteries last at least 5 years on average, under normal operating conditions. However, many consumers have experienced battery failure well before 5 years. A consumer advocacy group decided to investigate the company to determine if the company’s claim about the average lifespan of their car batteries I exaggerated and misleading,A random sample of 38 batteries was collected and tested by the consumer advocacy group and the mean lifespan was found to be 4.84 years.Use the critical value method to test the hypothesis that the mean lifespan of this brand car battery is less than 5 years, using a significance level of 0.5%. Assuming that the standard deviation of the lifespans of all batteries produced by the company is known to be 0.43 years.State the null and alternative hypothesis for this test.Ho: ? =—H1: ? —–Determine if this test is left-tailed, right-tailed, or two-tailedShould the d=standard normal (z) distribution or student’s (t) distribution be used for this test?The standard normal (z) distribution should be used The student’s (t) distribution should be usedDetermine the critical value (s) for this hypothesis test. Round the solutions to two decimal places, if more than one critical value exists, enter the solutions using comma-separated list=—Determine the test statistic, round the solution to two de4cimal places.=—Determine the appropriate conclusion for this hypothesis test.The sample data provide sufficient evidence to reject the alternative hypothesis that the mean lifespan of batteries produced by this company is less than 5 years and thus we conclude that the company’s claim that batteries last at least 5 years is likely true.- The sample data do not provide sufficient evidence to reject null hypothesis that the mean lifespan of batteries produced by the company is at least 5 years and thus we conclude that the company’s claim that the batteries last at least 5 years is likely true.the sample data provide sufficient evidence to reject the null hypothesis that the mean lifespan of batteries produced by this company is at least 5 years. and thus we conclude that the company’s claim that the batteries last at least 5 years is likely false.- the sample data do not provide sufficient evidence to reject the alternative hypothesis that the mean lifespan of batteries produced by this company is less than 5 years and thus we conclude that the company’s claim that the batteries last at least years is likely false. 3-A new virus has taken root in a country. Government officials are reporting that the 13.3% of the population is currently infected with the virus. However, epidemiologists across the country claim to be observing a much higher infection rate. It was found that the 144 people out of random selected sample of 1000 people from around the country were infected with the virus.Use the critical value method to determine if the sample data support the epidemiologists’ suggestion that the true rate ion infection in the country is higher than 13.3%. Use a significant level of 1%.State the null and alternative hypothesis for this test.Ho: ? ——-H1: ? ——–Determine if this test is left-tailed, right-tailed, and two.tailed.Should the standard normal (z) distribution nor student’s (t) distribution be used for this test? – The Student’s t distribution should be used – The standard normal (z) distribution should be used.Determine the critical value (s) for this hypothesis test. Round the solution (s) to two decimal places. If more than critical value exists, enter the solutions using comma-separated list.=—-Determine the test statistic. Round the solution to two decimal places.=—– Math Statistics and Probability STA 2023 Share QuestionEmailCopy link Comments (0)
