Identify whether the following is a null hypothesis or an alternative hypothesis 1. The average age of grade 11 students is 17 years old. 2. The mean content of citric acid in a bottle of juice drinks is greater than 2 ml. 3. The average monthly salary of private employees is less than P15, 000. 4. The mean weight of new born babies is 0.5 kg. 5. The average IQ of grade 11 students is less than 108.
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- Suppose the average blood sugar level in 35- to 44-year-olds is 4.86 (mmol/L). Do sedentary people have a different blood sugar level than that of the general population? To answer that question, a hypothesis test is planned to collect data from a group of 200 sedentary people in this age group. State the null and alternative hypothesis for this study. A. H0: u (mean) ≠ 4.86 mmol/L vs Ha: u (mean) = 4.86 mmol/L B. H0: u (mean) = 4.86 mmol/L vs Ha: xbar ≠ 4.86 mmol/L C. H0: u (mean) = 4.86 mmol/L vs Ha: u (mean) > 4.86 mmol/L D. H0: u(mean) = 4.86 mmol/L vs Ha: u (mean) ≠ 4.86 mmol/LAn organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. p' = Calculate ?x. Find the p-value.The average work week for engineers in a start-up company is believed to be about 60 hours. A newly hired engineer hopes that it's shorter. She asks 10 engineering friends in start-ups for the lengths of their average work weeks. Based on the results that follow, should she count on the average work week to be shorter than 60 hours? Conduct a hypothesis test at the 5% level. Data (length of average work week): 70; 45; 60; 65; 65; 60; 60; 55; 55; 60. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (Round your answer to two decimal places.) = What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower…
- In the past, the mean running time for a certain type of flashlight battery has been 9.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has decreased as a result. A hypothesis test is to be performed. Determine the null and alternative hypotheses. A. H0: µ ¥ 9.6 hours and H1: µ = 9.6 hours B. H0: µ = 9.6 hours and H1: µ ¥ 9.6 hours C. H0: µ = 9.6 hours and H1: µ > 9.6 hours D. H0: µ = 9.6 hours and H1: µ < 9.6 hoursA hypothesis test is to be performed. Determine the null and alternate hypotheses. In 1995 , the average duration of long-distance telephone calls originating in one town was 7.7 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1995 mean of 7.7 minutesThe U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)
- Suppose you want to compare Mu_a and Mu_b, which are the true mean stopping distances for two different braking systems for cars travelling at 50 km/hr. An automobile manufacturer suspects Braking System A is more effective (has less stopping distance) than Braking System B; that is, System A will stop a car travelling at 50 km/hr in a shorter distance, on average, than System B. In order to test the manufacturer's suspicion, what is the appropriate alternative hypothesis? Select one: a. H1: Mu_a – Mu_b < > 0 b. H1: Mu_a – Mu_b > 50 c. H1: Mu_a – Mu_b = 0 d. H1: Mu_a – Mu_b > 0 e. H1: Mu_a – Mu_b < 0An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. Calculate σx. (Round your answer to three decimal places.)/ Show the formula set-up. State the distribution to use for the hypothesis test. Find the p-value. (Round your answer to four decimal places.)As a result of complaints from customers about delivery times, the managerat a pizza delivery service is ready to undertake a study to determine the average delivery time. Until now, the manager has believed the delivery time was 20 minutes. What are the null and alternative hypotheses?
- For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) Researchers state 2.52.5 hours as the mean amount of television watched by children per night. One parent claims that the mean amount of television watched by children per night is less than 2.52.5 hours. The parent conducts a hypothesis test and rejects the null hypothesis. Assume that in reality, the mean amount of television watched by children per night is 2.52.5 hours. Was an error made? If so, what type?A magazine reported that at the top 50 business schools in a region, students studied an average of 11.2 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 11.2-hour benchmark. State the null and alternative hypotheses. Choose the correct answer below. A. H0: X=11.2 H1: X≠11.2 B. H0: μ=11.2 H1: μ≠11.2 C. H0: α≠11.2 H1: β=11.2 D. H0: α=11.2 H1: α≠11.2 E. H0: β≠11.2 H1: β=11.2 F. H0: β=11.2 H1: β≠11.2 G. H0:μ≠11.2 H1: μ=11.2 H. H0:μ≠11.2 H1: X=11.2 I. H0:μ=11.2 H1:X≠11.2 J. H0: X≠11.2 H1: X=11.2 K. H0:α≠11.2 H1: α=11.2 L. H0:α=11.2 H1:β≠11.2 What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is not different from the reported 11.2-hour benchmark when in fact it is not different B. Concluding that the…From a study from earlier this year, it is believed that approximately 7% of U.S. adults do not use the internet. Suppose researchers are doing a study to see if the proportion of Washington state adults that do not use the internet is lower than the reported U.S. adult proportion. The researchers decide to survey 200 randomly selected adults throughout the state of Washington. a. Define a parameter for hypothesis testing and write the null hypothesis and alternative hypothesis for this study