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STA1010 - Statistical methods for science - S2 2025
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Determine the P-value.A student runs an experiment to determine the number of joules of energy three different people burn by running a kilometre. Each of the 3 subjects runs the kilometre 4 times. The F-ratio obtained is 4.50. Use MS Excel or a graphics calculator for the appropriate F-distribution.
In a study involving 4 treatment groups, and numerous trials done in each, the variances gave the totals of : SST=25.8 and SSE=145.7 for dfT=3 and dfE=31. Consider the mean squares and calculate the F-statistic for this data?
When a one-way analysis of variance test is done, what probability distribution is used to find the p-value?
In carrying out a chi-square test of independence for a table of data with 5 rows and 3 columns, the test statistic is calculated to be 16.5. The P-value is closest to
A study examined the survival of patients with heart disease and pet ownership. Each patient with heart disease was classified as having a pet or not and whether they survived for one year.
The data are given below.
| Pet | Ownership | |
| Patient status | No | Yes |
| Alive | 24 | 50 |
| Dead | 10 | 5 |
Assuming no relationship between pet ownership and survival of patients, calculate (correct to 1 decimal place) the chi-square statistic.
Interpret the results of the chi-square test at the 5% significance level.The Book Industry Study Group, Inc., performs sample surveys to obtain information on characteristics of book readers. A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book, newspaper, or magazine in the six months prior to the survey. The following data were obtained from a random sample of 1429 persons 16 years old and over.χ2 = 114.534; P-value = 2.287 × 10-22
A study examined the survival of patients with heart disease and pet ownership. Each patient with heart disease was classified as having a pet or not and whether they survived for one year.
The data are given below.
| Pet | Ownership | |
| Patient status | No | Yes |
| Alive | 27 | 50 |
| Dead | 11 | 5 |
Assuming no relationship between pet ownership and survival of patients, what is the expected number (correct to 1 decimal place) of patients who have a pet and survived for one year?
A study examined the survival of patients with heart disease and pet ownership. Each patient with heart disease was classified as having a pet or not and whether they survived for one year.
The data are given below.
| Pet | Ownership | |
| Patient status | No | Yes |
| Alive | [x] | 50 |
| Dead | 10 | 5 |
In carrying out a chi-square test assuming no relationship between pet ownership and survival of patients, how many degrees of freedom are there?