A data set includes data from 500 random tomadoes. The display from technology available below results from using the tomado lengths (miles) to test the claim that the mean tornado length is greater than 2.1 miles Use a 0.05 significance evel. Identify the null and altemative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. i Click the icon to view the display from technology Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? OB. H:=2.1 miles H 21 miles OA H H<2.1 miles H, p=21 miles C. Ho H= 2.1 miles OD. Ho H=2.1 miles H <21 miles H >21 miles dentify the test statistic. (Round to two decimal places as needed)
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- A production line operation is designed to fill cartons with laundry detergent to a mean weight of 64 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling. (a) Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line. H0: ? ≥ 64 Ha: ? < 64 H0: ? = 64 Ha: ? < 64 H0: ? ≤ 64 Ha: ? > 64 H0: ? = 64 Ha: ? > 64 H0: ? = 64 Ha: ? ≠ 64 (b) Comment on the conclusion and the decision when H0 cannot be rejected. Conclude that there is statistical evidence that the production line is not operating properly. Do not allow the production process to continue.Conclude that there is statistical evidence that the production line is not operating properly. Allow the production process to…An expert at the Icelandic Meteorological Office is tasked with investigating whether the air quality in the capital area is in accordance with health protection limits. According to them, dust particles should not amount to more than 50 micrograms per cubic meter. The expert collects readings from around the town between 9 and 10 in the morning a. State and perform a one-sided hypothesis test (at a 2% level of significance) about whether the population mean is greater than 50 micrograms. NOTE that the Norwegian Meteorological Agency assumes that the air quality is acceptable unless there is strong evidence that this is not the case. b. Show the result of the test in a picture. What does the result tell you about the sampling distribution of the sample mean? c. What is the p-value and what does it tell you? Show it in the picture you made in part b d. Draw the power function of the hypothesis test e. The measuring devices that are used to measure air quality can be problematic, so…A magazine reported that at the top 50 business schools in a region, students studied an average of 18.1 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 18.1 hour benchmark. State the null and alternative hypotheses.
- a production line operation is designed to fill cartons with laundry detergent to a meanweight of 32 ounces. a sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. if the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted toobtain proper filling.a. formulate the null and alternative hypotheses that will help in deciding whether to shutdown and adjust the production line.a production line operation is designed to fill cartons with laundry detergent to a meanweight of 32 ounces. a sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. if the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted toobtain proper filling.a. formulate the null and alternative hypotheses that will help in deciding whether to shutdown and adjust the production line.b. comment on the conclusion and the decision when h0 cannot be rejected.c. comment on the conclusion and the decision when h0 can be rejectedA company that manufactures steel wires guarantees that the mean breaking strength (in kN) of the wires is greater than 50. They measure the strengths for a sample of wires and test H0 : μ ≤ 50 versus H1 : μ > 50. a) If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength? b) If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength?
- A cereal company claims that the mean weight of the cereal in itspackets is at least 14 oz. Assuming that a hypothesis test to reject this claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.A random sample of 7,000 had a proportion of interest of 0.535. Is there sufficient evidence, at the 5% level of significance, to support the hypothesis that the true population proportion is not 0.521? State your conclusion in the form of a sentence including both the test statistic and the critical value.Can you help me solve these 3 questions using Statcrunch? please and thank you! Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. 23) The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that CJ is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Do one of the following, as appropriate: (a) Find the critical value Za/2- (b) find the critical value ta/2- (c) state that neither the normal nor the t distribution applies. 24) 99%; n = 17; CJ is unknown; population appears to be normally distributed. A) Za./2 = 2.583 B) Za/2 = 2.567 C) ta/2 = 2.898 D) ta./2 = 2.921 Use the given degree of…
- A Sample of 150 homes for sale in ABC City show a mean asking price of $233,000 but the city claim that the mean asking price for the population was $255,000 the population standard deviation of all homes for sale was $11,000 use the P value approach to conduct a full hypothesis test all steps that can be used to determine whether the mean asking price is significantly less than $255,000 let a be .10Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that σ is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb.In the past, the mean running time for a certain type of flashlight battery has been 7.5 hours. The manufacturer has introduced a change in the production method which he hopes has increased the mean running time. The mean running time for a random sample of 40 light bulbs was 7.7 hours. Do the data provide sufficient evidence to conclude that the mean running time of all light bulbs, μ , has increased from the previous mean of 7.5 hours? Perform the appropriate hypothesis test using a significance level of 0.05 . Assume that σ = 0.5 hours.