The questions are in the photos below:

Question 19 Not yet answered Marked out of 100 V Flag question Suppose we wish to test H0: p = 10 vs. Ha: u :10. What will result if we do not reject the null hypothesis when the true value of p is really 13? Select one: Q a. We have made a Type II error. 0 b. We have made a correct decision. 0 c. We have made a Type I error. 0 d. We have made both a Type I error and a Type II error. Question 6 Does the potency of drug change after one year in storage? Not yet answered To test this hypothesis, researchers plan to compare the average potency of a sample of recently produced bottles of the drug with the average potency of a sample of bottles of the drug that have been stored for a year. Marked out of 1.00 Let My be the mean potency score for the fresh drug and u2 be the mean potency score for the stored drug. Flag Based on the information provided, which of the following sets of hypotheses is appropriate for the test? question Select one: O a. Ho: M1 - M2 5 0, Ha: M1 - 12 > 0 O b. Ho: M1 - 12 = 0, Ha: M1 - M2 10 Given the null and alternative hypotheses above indicate what value we should expect at the centre of an appropriate randomisation distribution to test the hypotheses? o 20 o o 0 19A 0 0.10 o 0.20 O 10 O)? Question 1 If we are testing to see if there is evidence that a correlation between height and salary is significant (that is, different than Not yet answered zero) then the population parameter we are making an inference about is Marked out of 1.00 V Flag question a p Next page S Quiz navigation 1 2 3 4 5 6 7 8 10 11 12 13 14Question 13 Not yet answered Marked out of 100 F Flag question In hypothesis testing, a large P-value means that the null hypothesis is rejected. True or false? Select one: 0 True 0 False Question 15 Not yet answered Marked out of 1.00 F Flag question Some years ago some large Indian bus companies restricted bus speeds to try to increase fuel efficiency. Prior to the restrictions the buses averaged 3.9 km per litre of diesel. A hypothesis test for evidence that fuel efficiency has now increased uses the following pair of hypotheses: Ho; u = 3.9 vs. Ha: u > 3.9. A random sample of 40 buses is taken and a P-value of 0.0003 (to 4 dp) is calculated from the sample statistics. What conclusion may be drawn from this test? Use significance level 0 = 0.01. Select one: 0 a. There is evidence that fuel efficiency has not changed 0 b. We have proved that fuel efficiency has increased 0 c. There is strong evidence that fuel efficiency has increased 0 d. There is insufficient evidence the fuel efficiency has increased Question 10 Answer saved Marked out of 1.00 V Remove flag 0 20 40 60 80 100 120 140 160 Above is a randomisation distribution for a hypothesis test with Ho: p = 80. It shows what values of the sample statistic would be likely to occur if the null hypothesis is true. Below, several possible values for a sample statistic are given. For each value indicate how likely it would be to observe that sample statistic if the null hypothesis was true. i = 73 Reasonably likely to occur when the null hypothesis is true 0 0 i = 52 Reasonably likely to occur when the null hypothesis is true i = 15 Extremely unlikely to ever occur when the null hypothesis is true : i = 43 Unusual but might occur occasionally when the null hypothesis is true : Question 8 Not yet answered Marked out of 1.00 \\V Flag question We have created a 95% confidence interval for a population mean u. with the resulting interval given by ('l 0, 18). What decision will we make if we test H0: u = 16 against Ha: u :16 at a = 0.05 Select one: 0 a. Reject Ha O b. Accept Ha O c. We cannot tell what our decision will be with the information given. 0 d. Do not reject HO 0 e. Reject Ho Question 14 Not yet answered Marked out of 1.00 V7 Flag question Suppose the null hypothesis of a test is H0: u = 15, the alternative is Ha: u > 15 and the hypothesis test returns a pvalue = 0.002. What do you conclude from the test, using significance level (1 (alpha) = 0.01? Select one: Q a. There is sufficient evidence at significance level a that the population mean is greater than 15. O b. There is evidence at significance level a that the population mean is 15. O c. There is no evidence at significance level a that the population mean is 15. Q d. There is insufficient evidence at significance level 01 that the population mean is greater than 15. Question 3 The Auckland Council is interested in determining if the proportion of commuters from a particular neighborhood that would Not yet use a new cycle-way is more that 10% answered Select the hypotheses that the Auckland Council should use for this test. Marked out of 1.00 Flag question Select one: O a. Ho: p = 0.10, Ha: p 0.10 O c. Ho: p = 0.10, Ha: p # 0.10 O d. Ho: p = 0.10, Ha: p > 0.10Question 5 Not yet answered Marked out of 'LOO \\V Flag question A few years ago, a cola manufacturer invited New Zealand consumers to take a blind taste test. Consumers were asked to decide which of two sodas, Brand 1 or Brand 2, they preferred. The manufacturer was interested in determining what factors played a role in people's taste preferences. One of the factors studied was which part of New Zealand the consumers lived on, and for this purpose the manufacturer divided consumers into South Islanders and North Islanders. If the true consumer population proportion of North Islanders who prefer Brand 1 is pN and the true consumer population proportion of South Islanders who prefer Brand 1 is p5, what null and alternative hypotheses should be used to test whether there is a difference in the proportions of North and South Islander consumers who prefer Brand 1? Select one: 0 a-HoipN'Ps0.HaiPN'Ps=0 O b-HoiPN'P820.HaIpN'PsSO O C-HoipN'Ps=0.HaiPN'Ps0 O d-HOZPN'Ps=0.HaIpN'Ds>0 Question 7 Given the null and alternative hypotheses below indicate the symbol for a sample statistic we might record for each simulated Not yet sample to create a randomisation distribution. answered Marked out of 1.00 Ho: p = 0, Ha: p # 0 Flag question O Or 81 O b O PQuestion 2 20 Answer saved Marked out of 2.00 15 Y Remove flag 10 0 G'OUP 1 2 1 2 1 2 1 2 Sample A Sample 8 Sample C Sample D The box plots above show data collected from 4 samples. Each sample has measurements of the service times (minutes displayed on the vertical axis) from two different restaurants (labelled 'I 81 2). The sample mean service time for each restaurant is displayed with a circle on the box plots. State which of the samples above provides the most evidence for the claim that the population mean service time for restaurant 1 is less than the mean service time for restaurant 2. Sample C : State which of the samples above provide no evidence for the claim that the population mean service time for restaurant 1 is less than the mean service time for restaurant 2. 0 Samples A & B QUESth\" 4 A bottling company produces bottles for a local brewery. The company needs to produce bottles that will hold an average of Not yet 1 litre of liquid. Every so often the company gets complaints that their bottles are too small. answered The company plans to test whether the complaint is valid by taking a random sample of bottles and carrying out a hypothesis Marked 0m Of test to see if the average bottle capacity is in fact less than 1 litre. 1.00 l' Flag Select the hypotheses that the company should use for this test. question Select one: 0 a.Ho:p='|,Ha:p1 O b.H0:u