a) Based on the samples, do we have some evidence to suggest that on average, the body structure of Egyptians have changed over the years and due to interbred with several different immigrant populations? Explain your answer. 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: 0.01. Translate 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 1 A-C
![Problem 1: Some archaeologists theorize that ancient Egyptians interbred with several different
immigrant populations over thousands of years. To see if there is any indication of changes in
body structure that might have resulted, they measured 30 skulls of male Egyptians dated from
4000 B.C. and 30 others dated from 200 B.C.. Below is a table summarizing the findings. All
measurements are in millimeters.
Group Name n
SD min Q1 med Q3 max
mean
1: 4000 BC 30 131.367 5.129 119 128 131 135 141
2: 200 BC
30 135.633 4.038 129 132 135 139 144
a) Based on the samples, do we have some evidence to suggest that on average, the body
structure of Egyptians have changed over the years and due to interbred with several different
immigrant populations? Explain your answer.
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: 0.01. Translate
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a3746e6-bb43-4e23-8f01-5e76f0299e2d%2F12704114-8bc6-44ca-9136-258016e009c5%2Fv9yo98p_processed.png&w=3840&q=75)
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