g) Let µ be the population mean time for all high school runners for 5k
Claim : Mean time for all high school runner is less than 28 minutes
: µ = 28 vs
: µ <
28
h) if population standard deviation σ is known then we use z test, otherwise we can use t test.
In the above example, we are not given any information about the population standard deviation σ, therefore we do not have any reservations about doing a t test.
& If we wanted to determine whether the mean $ K time all for high school...
1. Consider the following times (rounded to the nearest minute) for 12 high school runners in a 5 K race 19 23 17 28 29 30 16 34 18 18 17 48 a. What isare) the mode(s)? b. What is the mean and what is it a measure of? c. What is the median and what is it a measure of? d. What is the value of the IQR? e. Are there any outliers according to the 1.5XIQR rule? Justify...
1. Consider the following times (rounded to the nearest minute) for 12 high school runners in a 5 K race 19 23 17 28 29 30 16 34 18 18 17 48 a. What is(are) the mode(s)? b. What is the mean and what is it a measure of? c. What is the median and what is it a measure of? d. What is the value of the IQR? e. Are there any outliers according to the 1.5XIQR rule? Justify...
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...
The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.4 hours. Data from a simple random sample of 28 high school seniors indicated that their mean number of part-time work was 11.5 with a standard deviation of 1.3. Test whether these data cast doubt on the current belief. (use α = 0.05) a. State your null and alternative hypotheses. b.State the rejection region. c. Calculate the test...
1. A university researcher is interested in whether efforts to recruit more top high school students have been successful. To test this, she randomly selects 50 freshmen from the university and records their high school GPA. The mean is 2.75 with a standard deviation of 0.50. The researcher also knows that the mean high school GPA of all freshmen enrolled at the university five years ago was 3.00 with a standard deviation of 0.66. The researcher wants to know if...
A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained a simple random sample of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be 6 hours with a standard deviation of 3 hours. The researcher also obtained an independent simple...
The null and alternative hypotheses we given. Determine whether the hypothesis test is leth-tailed, right-tailed, or two-tailed. What parameter is being tested? Ho: H: What type of test is being conducted in this problem? OTwo-tailed test Len-tailed test O Righ-talled test What parameter is being tested? O Population standard deviation Population mean O Population proportion Click to select your answer MacBook Air GO F4 A # 3 $ 4 % 5 & 7 2 6 8 9 Q W E...
Does 10K running time decrease when the runner listens to music? Nine runners were timed as they ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time With Music 42 47 35 50 42 49 49 47 46 Without 46 45 38 51 43 53 51 45 48 Music Assume a Normal distribution. What can be concluded at the the a = 0.01 level of significance? For this study, we should...
A recent issue of the AARP Bulletin reported that the average
weekly pay for a woman with a high school degree is $520. Suppose
you would like to determine if the average weekly pay for all
working women is significantly greater than that for women with a
high school degree. Data providing the weekly pay for a sample of
50 working women are available in the file named
WeeklyPay. These data are consistent with the findings
reported in the AARP...
The Physical Fitness Test (PFT) is a comprehensive,
health-related physical fitness battery of tests for students in K
- 12. One fitness area is Aerobic Capacity and is tested by having
students run one mile. In a particular county in Virginia, a sample
of juniors in high school was collected and presented in the data
set called "Running a Mile." If the student ran the mile in less
than 10 minutes, they passed this portion of the test (and is...