Suppose we would like to determine if the typical amount spent per customer for dinner at a new restaurant in town is more than $20. A sample of 49 customers, over a three-week period, was randomly selected and the average amount spent was $22.60. Assume that the standard deviation is known to be $2.50. Using a .05 level of significance, would we conclude the typical amount spent per customer is more than $20? After running the 6-step hypothesis test for the above, would we make the same conclusion at a .01 level of significance?
Suppose we would like to determine if the typical amount spent per customer for dinner at...
QUESTION 2 Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2 hours. Assume that hours per week they spend on the phone are normally distributed. At a significance level of 5%, test the claim of...
We would like to conduct a hypothesis test to determine whether the true mean rent amount for all one-bedroom apartments in Winnipeg differs from $850. We take a random sample of 50 one-bedroom apartments and calculate the sample mean to be $900. A 98% confidence interval for μ is calculated to be (830, 970). The conclusion for our test would be to: Question 8 options: A) fail to reject H0 at the 2% level of significance since the value 850...
Mama's Pizza restaurant chain would like to understand which variable most strongly influences the amount of sales of the deep-dish pizza. They have gathered data on the number of monthly sales (in 100's) of deep-dish pizzas and the amounts month on advertising at 20 of their restaurants. Below are the results of the linear regression to predict the number of month 100's) based on monthly advertising (in $1,000's). SUMMARY OUTPUT - Regression Model to Predict Monthly Sales (in 100's) based...
With your goal in mind to determine if the mean amount of time spent exercising per week differs for men and women college students at the 5% significance level, select the first thing you would do from among the following options. Make a selection. a) Collect and analyze data. b) Determine if you will be sampling from one population or two. c) Define parameters and set up hypotheses.
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money in dollars) they spend. The results of the survey are shown below. Time Money 12 49 24 115 6 23 28 100 6 25 14 46 15 76 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: H: ?...
We would like to conduct a hypothesis test at the 2% level of significance to determine whether the true mean pH level in a lake differs from 7.0. Lake pH levels are known to follow a normal distribution. We take 10 water samples from random locations in the lake. For these samples, the mean pH level is 7.3 and the standard deviation is 0.37. Using the critical value approach, the decision rule would be to reject H0 if the test...
Question 21
Random sample of college students were asked how many hours they spent studying per day. The results summarized by sex are given in the following table. Hours Spent Studying Less than 3 3 or more Total Males 36 64 100 Females 12 56 68 Total 48 120 168 Do these data provide evidence at the 0.01 level of significance to conclude that sex and amount of time spent studying are dependent? Begin by filling in the following tables....
1. The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard deviation is $160 and that the amount spent is normally distributed. What is the probability that the amount spent on a randomly selected child is more than $700? (Round to four decimal places) What is the probability that the amount spent on a randomly selected child is less than $100? (Round to four decimal places) What is the probability...
It is believed that the average amount of money spent per U.S. household per week on food is about $96, with standard deviation $9. A random sample of 49 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and...
A recent national survey showed that the mean amount of time high school students spent per day using Snapchat was 65 minutes, with a standard deviation of 9 minutes. Mrs. Jones, a school principal, surveyed 100 of her students and computed a sample mean of 67.6 minutes of daily Snapchat use. She would like to determine, with a .01 significance level, whether her school is significantly different from the national results. State the null and alternate hypotheses for this two-tailed...