Problem 2: Below is a table summarizing the resting pulse rate of 69 females and 36 males from all four of my Statistics class this year. Let's assume that these students are random selections from a population of senior high school students. Group Name n mean SD min Q1 med Q3 max 1: Females 69 72.986 14.4 39 65.5 72 82 115 2: Males 36 73.25 10.519 50 68 71 80 90 a) Based on the samples, do we have some evidence to suggest that on average, senior mal students have higher resting pulse rate than senior female students? Is this statistically significant? b) If you're going to perform a t-test for the difference between the means, then would it be two-tailed or one-tailed. If it is one tailed, then which tail? Explain your choice. c) Assuming all conditions are met, perform a test at the significant alpha level: 0.25. Translat Ho and Ha into English as well. Use www.stapplet.com to do the calculations. Be sure to include the df, t-score, p-value.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Can I get an explanation on problem 2 A-C
(a) Given;
Since the sample mean for males is higher than the sample mean for females. We can say that on average, senior male students have higher resting pulse rate than senior female students.
We cannot say it statistically significant as we have not yet performed any test of significance.
To check whether our statement is statistically significant we need to perform a hypothesis test of the difference between the two population means.
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