(c) Based on your answer to part (b), choose what the manager can conclude, at the 0.10 level of significance.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there isenough evidence to conclude that the mean wait time is now greater than 5 minutes.Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there isnot enough evidence to conclude that the mean wait is now greater than 5 minutes.O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enoughevidence to conclude that the mean wait time is now greater than 5 minutes.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to conclude that the mean wait time is now greater than 5 minutes. A chain of restaurants has historically had a mean wait time of 5 minutes for its customers. Recently, the restaurant added several very popular dishes back totheir menu. Due to this, the manager suspects the wait time, µ, has increased. He takes a random sample of 36 customers. The mean wait time for the sampleis 5.4 minutes. Assume the population standard deviation for the wait times is known to be 1.3 minutes.Can the manager conclude that the mean wait time is now greater than 5 minutes? Perform a hypothesis test, using the 0.10 level of significance.(a) State the null hypothesis H, and the alternative hypothesis H1.Hg: 0H;: 0OSOO=0(b) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.• The value of the test statistic is given by• The p-value is the area under the curve to the right of the value of the test statistic.Standard Normal Distribution0.4Step 1: Select one-tailed or two-tailed.O One-tailedTwo-tailed0.3Step 2: Enter the test statistic.(Round to 3 decimal places.)0.2Step 3: Shade the area represented bythe p-value.0.1+Step 4: Enter the p-value.(Round to 3 decimal places.)-12

Given n=36 X-bar=5.4 Standard deviations=1.3

Answered: A chain of restaurants has historically…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A city planner claims that the mean speed of westbound traffic along a road segment during morning peak hours is less than 50 miles per hour. In a random sample of 45 motor vehicles traveling westbound on the road segment during morning peak hours, the mean speed is 51 miles per hour. Assume the population standard deviation is 5 miles per hour. Perform the appropriate hypothesis test at α = 0.05.
A hypothesis test is to be performed. Determine the null and alternate hypotheses. In 1994 , the average duration of long-distance telephone calls originating in one town was 7.6 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 1994 mean of 7.6 minutes. H0 : =μ7.6 minutes H1 : <μ7.6 minutes H0 : =μ7.6 minutes H1 : ≠μ7.6 minutes H0 : =μ7.6 minutes H1 : >μ7.6 minutes H0 : ≠μ7.6 minutes H1 : =μ7.6 minutes
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 hours
A philosophy professor wants to find out whether the mean age of the men in his large lecture class is equal to the mean age of the women in his class. In other words, the professor tested the hypothesis H0 against the alternative Ha:H0: μM = μWHA: μM > μWat the 5% level.After collecting data from his students, he finds the P-value for the test was 0.003.Which is the right conclusion for this test? A. There is not sufficient statistical evidence that the mean age for the men is equal to the mean age for the women. B. There is sufficient statistical evidence that the mean age for the men is equal to the mean age for the women. C. There is not sufficient statistical evidence that the mean age for the men is greater than the mean age for the women. D. There is sufficient statistical evidence that the mean age for the men is greater than the mean age for the women.
A researcher believes that more than half of college students average less than 6 hours of sleep per night during the week. Suppose she collected data to test her belief and found a p-value < 0.0001. Fill in the information for her hypothesis test below. Significance level: a. p = 0.05 b. p = 0.0001 c. p < 0.0001 d. p > 0.0001
A cereal company claims that the mean weight of the cereal in its packets is 14 oz. Assuming that a hypothesis test of the claim was conducted and that the null hypothesis is rejected, what would be the conclusion? A. The mean weight of packets of cereal is less than 14 oz.B. The mean weight of packets of cereal is greater than 14 oz.C. The mean weight of packets of cereal is 14 oz.D. The mean weight of packets of cereal is not 14 oz.

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