2. Imagine the daily high temperature in Toronto was recorded every day for 14 days in January, and the average of these temperatures is –3.0°C with a standard deviation of 3.5°C.

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2. Imagine the daily high temperature in
Toronto was recorded every day for 14 days in
January, and the average of these
temperatures is -3.0°C with a standard
deviation of 3.5°C.
a) Calculate an 80% confidence interval for
the mean assuming all necessary conditions
hold. Interpret the confidence interval you
computed. Round your final answer to two
decimal places.
b) Explain the meaning of confidence
intervals. How would your confidence level
change if you accidentally used a wider
margin of error? Explain.
c) In the 14 days, the range of the maximum
daily temperature was -5°C to 8°C. Recall that
the average was –3.0°C. What are the
possible implications for the interval you
calculated in part (a)?
Transcribed Image Text:2. Imagine the daily high temperature in Toronto was recorded every day for 14 days in January, and the average of these temperatures is -3.0°C with a standard deviation of 3.5°C. a) Calculate an 80% confidence interval for the mean assuming all necessary conditions hold. Interpret the confidence interval you computed. Round your final answer to two decimal places. b) Explain the meaning of confidence intervals. How would your confidence level change if you accidentally used a wider margin of error? Explain. c) In the 14 days, the range of the maximum daily temperature was -5°C to 8°C. Recall that the average was –3.0°C. What are the possible implications for the interval you calculated in part (a)?
1. Based on census data, the unemployment
rate for minority teenagers has been hovering
steadily at 15%. You suspect that your district
has a much higher unemployment rate for this
demographic, and you want to get funding to
initiate a program to reduce unemployment
rate to at least national levels. A random
survey of 180 from this demographic in your
district revealed a staggering unemployment
rate of 22.2%. Does your data provide
evidence that there is a need for such a
program in your district?
a) Formulate the appropriate null and
alternative hypotheses.
b)Conduct a test of your hypotheses in (a).
Show all your steps, including the test statistic,
distribution used, and parameters involved.
c)Interpret your p-value in the context of this
problem and report your findings. What does
the data suggest about unemployment rates in
your district for minority teenagers?
Transcribed Image Text:1. Based on census data, the unemployment rate for minority teenagers has been hovering steadily at 15%. You suspect that your district has a much higher unemployment rate for this demographic, and you want to get funding to initiate a program to reduce unemployment rate to at least national levels. A random survey of 180 from this demographic in your district revealed a staggering unemployment rate of 22.2%. Does your data provide evidence that there is a need for such a program in your district? a) Formulate the appropriate null and alternative hypotheses. b)Conduct a test of your hypotheses in (a). Show all your steps, including the test statistic, distribution used, and parameters involved. c)Interpret your p-value in the context of this problem and report your findings. What does the data suggest about unemployment rates in your district for minority teenagers?
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