A new laboratory technician read a report that the average number of students using the computer laboratory per hour was 16. To test this hypothesis, he selected a day at random and kept track of the number of students who used the lab over an eight-hour period. The results were 20, 24, 18, 16, 16, 19, 21, 23 At α = 0.05, to test the claim that the average is actually 16.
a. What is the point estimate of μ?
b. calculate the test statistic
c. find the critical value(s)

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A new laboratory technician read a report that the average number of students using the computer...
3. Below represents data on the number of students per hour using a campus computer lab over an eight-hour period on a randomly selected day. 20 24 18 16 16 19 21 23 I The StatCrunch output for a 90% confidence interval is below. Variable Sample Mean Std. Err. DF L. Limit U. Limit varl 19.625 1.0511473 7 17.633519 21.616481 a. Write out the interval and interpret the interval in the context of this problem. Round to 3 decimal places...
According to a magazine, people read an average of more than three books in a month. A survey of 30 random individuals found that the mean number of books they read was 3.2 with a standard deviation of 1.26. a. To test the magazine's claim, what should the appropriate hypotheses be? b. Compute the test statistic. c. Using a level of significance of 0.05, what is the critical value? d. Find the p-value for the test. e. What is your...
Randomly selected students in a statistics class were asked to report the number of hours they slept on weeknights and on weekends. At α = 0.05, the experimenter wants to know if there is sufficient evidence that there is a difference in the mean number of hours slept. Student 1 2 3 4 5 6 7 8 Hours Sun-Thurs 8 5.5 7.5 8 7 6 6 8 Hours Fri-Sat 4 7 10.5 12 11 9 6 9 a. State the hypotheses and identify the claim. b. A student calculates the test statistic using this formula: Is this the correct formula to use for this situation? (Hint:...
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes. A random sample of 15 students was selected and the sample standard deviation for the time needed to complete the exam was found to be 4.0 minutes. Using α = 0.05, the critical value for this hypothesis test would be ________. a. 6.571 b. 7.261 c. 23.685...
2. The average number of cups of coffee drunk each day by a randomly selected sample of 25 students was 4.4. Assume the population standard deviation is 0.5 cups of coffee. Does the sample provide enough statistical evidence to support a claim that students drink 4 cups of coffee per day on average? Test the hypothesis at a 1% level of significance. Perform a 1-sample Z-test of mean to assess the sample evidence. A. State the null and alternative hypotheses...
A health researcher read that a 100-kg male can burn an average of 572 calories per hour playing table tennis. Thirty-six males were randomly selected and tested. The mean of the number of calories burned per hour was 557. Assume that the standard deviation for 100-kg males in the population is 45 calories per hour. (i) Test the claim that the average number of calories burned per hour is actually less than 572. Use α = 0.01. (ii) Calculate the...
A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,743. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3800. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,743? Test the...
A computer manufacturer estimates that its line of minicomputers has, on average, 8.4 days of downtime per year. To test this claim, a researcher contacts seven companies that own one of these computers and is allowed to access company computer records. It is determined that, for the sample, the average number of downtime days is 5.5, with a sample standard deviation of 1.4 days. Assuming that number of downtime days is normally distributed, test to determine whether these minicomputers actually...
Can anyone explain where the 252 came from for the
hypotheses?
Example 5: Another made up report ("Stat 1x1 Student Ages") claimed that, "The age of University of Alberta Stat 1x1 students depends on gender." To explore this claim, a poll was conducted by a particular statistics instructor. The results found the following Summary statistics for age (in months): Variance 243.5 2620.582 240.5 1729.273 Mean Std. Dev. gen Female Male 74 51.192 52 41.585 Assuming the individuals were randomly selected...
Suppose a university advertises that its average class size is 35 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 43 classes was selected, and the average class size was found to be 36.1 students. Assume that the standard deviation for class size at the college is 7 students. Using α=0.10, complete parts a - e below. a) Determine the null and...