3. A random sample of size 20 is taken from a population of 100, resulting in a sample mean of 16.45 and a sample standard deviation of 3.59. Assume X is normally distributed and use this information and a = 0.05 to test the following hypotheses. Ho:u = 16 Ha:u # 16

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Activity 3Q4. One Sample Case T-Test Hypothesis Testing
Part I. Direction: Answer the following questions.
1. In a time and motion study, it was found that a certain manual work can be finished at an average time of 40 minutes with
a standard deviation of 8 minutes. a group of 16 students is given a special training and then found to average only 35
minutes. can we conclude that the special training can speed up the work using 0.01 level?
1.27
1.29
1.16
1.20
1.37
2. Suppose a study reports that the average price for a gallon of self-serve regular
unleaded gasoline is P1.66. You believe that the figure is higher in your area of
the country. You decided to test this claim for your part of the Philippines by
randomly calling gasoline stations. You random survey of 25 stations produces
the following prices.
3. A random sample of size 20 is taken from a population of 100, resulting in a
sample mean of 16.45 and a sample standard deviation of 3.59. Assume X is normally distributed and use this information
and a = 0.05 to test the following hypotheses.
Ho:H = 16
4. Suppose that in the past years the average price per square foot for warehouses in Subic has been P32.28. A national real
estate investor wants to determine whether that figure has changed now. The investor hires a researcher who randomly
samples 19 warehouses that are for sale across Subic and finds that the mean price per square foot is P31.67, with a
standard deviation of P1.29. If the researcher uses a 5% level of significance, what statistical conclusion can be reached?
1.20
1.23
1.19
1.20
1.24
1.16
1.07
1.27
1.09
1.34
1.15
1.23
1.14
1.05
1.35
1.21
1.14
1.14
1.07
1.35
Ha:u# 16
Transcribed Image Text:Activity 3Q4. One Sample Case T-Test Hypothesis Testing Part I. Direction: Answer the following questions. 1. In a time and motion study, it was found that a certain manual work can be finished at an average time of 40 minutes with a standard deviation of 8 minutes. a group of 16 students is given a special training and then found to average only 35 minutes. can we conclude that the special training can speed up the work using 0.01 level? 1.27 1.29 1.16 1.20 1.37 2. Suppose a study reports that the average price for a gallon of self-serve regular unleaded gasoline is P1.66. You believe that the figure is higher in your area of the country. You decided to test this claim for your part of the Philippines by randomly calling gasoline stations. You random survey of 25 stations produces the following prices. 3. A random sample of size 20 is taken from a population of 100, resulting in a sample mean of 16.45 and a sample standard deviation of 3.59. Assume X is normally distributed and use this information and a = 0.05 to test the following hypotheses. Ho:H = 16 4. Suppose that in the past years the average price per square foot for warehouses in Subic has been P32.28. A national real estate investor wants to determine whether that figure has changed now. The investor hires a researcher who randomly samples 19 warehouses that are for sale across Subic and finds that the mean price per square foot is P31.67, with a standard deviation of P1.29. If the researcher uses a 5% level of significance, what statistical conclusion can be reached? 1.20 1.23 1.19 1.20 1.24 1.16 1.07 1.27 1.09 1.34 1.15 1.23 1.14 1.05 1.35 1.21 1.14 1.14 1.07 1.35 Ha:u# 16
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