The security department of a campus wants to know whether the true average time required by...
The security department of a campus wants to know whether the true average time required by a guard to walk his round is 30 minutes. A random sample of 36 rounds yielded the sample mean time 31.2 with the sample variance 9. Assume normality of the population, and then: (a) Given 0.02 level of significance, determine whether this is a sufficient evidence to conclude that the true average time is not 30 minutes. (b) Find a corresponding p-value and give examples of α when the null hypothesis is rejected and not rejected, respectively.
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The security department of a campus wants to know whether the
true average time required by...
Home Towne Realty claims the average price of a house in the outskirts of Asheville, NC...
Home Towne Realty claims the average price of a house in the outskirts of Asheville, NC is $100,000. A random sample of 50 houses in the outskirts resulted in a mean price of $120,000. The standard deviation was $47,000. We want to determine if the Home Towne Realty claims are true. If the test statistic is t = 3.009, and we reject H0 if either t < -2.01 or z > 2.01, which statement correctly interprets the decisions. Group of...
Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of...
Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. (b) Construct a 9999% confidence interval about 1−μ2. Population 1 Population 2 n 10 10 x overbarx 10.1 8.9 s 2.4 2.3 (a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. Detemine the P-value for this hypothesis test. P=________. (Round to three decimal...
A client wants to determine whether there is a significant difference in the time required to...
A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 66 62 56 71 74 69 67 77 68 75 66 59 79 72 58 72 70 62 Use α = 0.05 and test to see whether...
A client wants to determine whether there is a significant difference in the time required to...
A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 69 63 59 72 71 65 66 76 67 78 69 55 75 73 57 73 70 63 Use α = 0.05 and test to see whether...
The true average diameter of ball bearings of a certain type is supposed to be 0.5...
The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? (a) n = 16, t = 1.59, α = 0.05 Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in. Reject the null hypothesis. There is not sufficient evidence that the true...
A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is...
A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less tharn 7.0. What conclusion is appropriate in each of the following situations? (a) n-7, t-_2.8, α-0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Reject the null hypothesis. There is not sufficient...
According to a recent survey of the 18,000 funeral homes of a certain nation, funeral homes...
According to a recent survey of the 18,000 funeral homes of a certain nation, funeral homes collected an average of $6,700 per full-service funeral last year. A random sample of 36 funeral homes reported revenue data for the current year. Among other measures, each reported its average fee for a full-service funeral. These data (in thousands of dollars) are shown in the accompanying table. Complete parts a through c below. Table 7.5 9.1 5.4 8.6 7.7 6.3 5.9 8.6 6.5...
Nancy, a golfer, claims that her average driving distance is 253 yards. During a practice session,...
Nancy, a golfer, claims that her average driving distance is 253 yards. During a practice session, Nancy has a sample driving distance mean of 229.6 yards based on 18 drives. At the 2% significance level, does the data provide sufficient evidence to conclude that Nancy's mean driving distance is less than 253 yards? Accept or reject the hypothesis given the sample data below. H0:μ=253 yards; Ha:μ<253 yards α=0.02 (significance level) z0=−0.75 p=0.2266 Select the correct answer below: Do not reject...
Last year, the mean waiting time for the number 14 bus was 11.4 minutes. This year, a...
Last year, the mean waiting time for the number 14 bus was 11.4
minutes. This year, a random sample of 12 waits for the
bus yielded the following waiting times, in
minutes.
Use the Wilcoxon signed-rank test to perform the required hypothesis test. Last year, the mean waiting time for the number 14 bus was 11.4 minutes. This year, a random sample of 12 waits for the bus yielded the following waiting times, in minutes. 0.2 14.6 6.0 20.5 2.7 23.6...
A client wants to determine whether there is a significant difference in the time required to complete a program evaluat...
A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 66 64 56 73 72 69 65 75 68 77 66 59 79 74 58 74 70 64 Use α = 0.05 and test to see whether...
A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less tharn 7.0. What conclusion is appropriate in each of the following situations? (a) n-7, t-_2.8, α-0.05 Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0 Reject the null hypothesis. There is not sufficient...
Last year, the mean waiting time for the number 14 bus was 11.4
minutes. This year, a random sample of 12 waits for the
bus yielded the following waiting times, in
minutes.
Use the Wilcoxon signed-rank test to perform the required hypothesis test. Last year, the mean waiting time for the number 14 bus was 11.4 minutes. This year, a random sample of 12 waits for the bus yielded the following waiting times, in minutes. 0.2 14.6 6.0 20.5 2.7 23.6...
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