Suppose we want to study the errors found in the performance of a simple task. We ask judges to report the number of people seen entering a major department store in one morning. They find the mean number of shoppers is 975 with a standard deviation of 25. Assuming the distribution of counts is normal. a. What percentage of the counts will lie between 900 and 990? b. What percentage of the counts will lie below 975? c. What percentage of the counts will lie below 990? d. Between what two values will we find the middle 50% of the results?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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judges to report the number of people seen entering a major department store in one
morning. They find the mean number of shoppers is 975 with a standard deviation of 25.
Assuming the distribution of counts is normal.
a. What percentage of the counts will lie between 900 and 990?
b. What percentage of the counts will lie below 975?
c. What percentage of the counts will lie below 990?
d. Between what two values will we find the middle 50% of the results?
e. 75% of the counts would be less than
f. 95% of the counts would be between what two values?
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7. Conduct a complete hypothesis test:
Infants often respond to their parents' singing by listening and looking at them. We want to
examine whether singing to infants makes them more sociable. We test 39 infants whose
parents were asked to sing a lullaby to their infant every day for the next 2 weeks. The
mean sociability rating after two weeks of singing was measured as M = 62 while listening
to music and they produce a M = 64.43. The mean of the population taking this test without
music is µ = 59 (o = 13).
a. Does singing to infants lead to a significant difference in the infants' sociability scores?
Test using the.05 level of significance.
b. What is the probability that we made a Type I error? What would be the error in terms
%D
of independent and dependent variables?
c. Is there a risk of a Type Il error? Explain.
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