You are the manager of a restaurant for a fast food franchise. Last month, the mean waiting time at the drive through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 38 minutes. You select a random sample of 81 orders. The sample mean waiting time a 367 minutes with a sample standard deviation of 0 S minute Complete parts (a) and (b) below At the 005 level of sugaticance, is there evidence that the population mean wating time is different from 38 minutes? H₂ P H₂ (Type integers or decimals) native trypotheses

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.)   test statistic =   critical value =   State your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches.Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches.    Fail to reject the null hypothesis, there is…

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05.   a) Estimate the P-value. select one:P-value > 0.0100.0010 < P-value < 0.010 0.250 < P-value < 0.00100.125 < P-value < 0.250P-value < 0.125 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.05 level, we reject the null hypothesis and…

A company wants to assess the average time it takes for customers to complete a particular task on their website. They collect the following data from a sample of 10 customers: 5, 6, 7, 8, 9, 10, 10, 11, 12, 13 minutes. Calculate the sample mean and standard deviation for this data.

What is the equation for The standard deviation of the distribution of sample means

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. (a)What is the level of significance? =__   State the null and alternate hypotheses. A-H0: ? = 19 in; H1: ? ≠ 19 in B-H0: ? < 19 in; H1: ? = 19 in  C-H0: ? = 19 in; H1: ? < 19 in D-H0: ? = 19 in; H1: ? > 19 in E-H0: ? > 19 in; H1: ? = 19 in (b)What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. A-The Student's t, since the sample size is large and ? is known. B-The standard normal, since the sample size is large and ? is known. C-The…

A clinical psychologist took a sample of four people from the population of people with anxiety disorders and gave them an interval-level anxiety scale. Their score were 57, 60, 67, and 68 with a mean of 63.00. What is s?

The number of violent crimes committed in a day possesses a distribution with a mean of 2.1 crimes per day and a standard deviation of 5 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.

joans finishing time for the bolder boulder 10k race was 1.77 standard deviations faster than the womens average for her age group. there were 415 women in her group. assuming a normal distribution, how many women ran faster than joan? rounded down to the nearest whole number

According to the US Census Bureau. the number of people in a household has amean of 2.6 and a standard deviation of 1.5. Suppose the census bureauinstead had estimated this mean using a random sample of 225 homes and that sample had a mean of 2.4 and standar deviation of 1.4. Describe the center and spreadof the sample mean for 225 homes. What does the distribution describe?