The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable having a Poisson distribution with mean 5.2. Find the probability that a randomly chosen Jamaican spice bun has exactly10 raisins. Ensure that you have defined the variable of interest. b) A bank official finds that the length of time customers wait to be served by teller are approximately normally distributed with a mean of 5 minutes and a standard deviation of 3 minutes. What probability that a customer has to wait for at least 6.7 minutes?
1. a) The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable having a Poisson distribution with mean 5.2. Find the
b) A bank official finds that the length of time customers wait to be served by teller are approximately
3 minutes. What probability that a customer has to wait for at least 6.7 minutes?
2.
It is claimed that participants of a popular weight loss programme have a mean weight loss of 10 pounds after 1 month. A medical researcher randomly selected 30 participants of the programme and recorded their weight loss (in pounds) after 1 month. The data was inputted into MINITAB for analysis. Exhibit 1, below, was subsequently generated.
Exhibit 1
One-Sample Z: Weight Loss
Test of mu = 10 vs < 10
The assumed standard deviation = 2.5
Variable N Mean StDev SE Mean Z P
Weight Loss 30 8.977 2.463 ? * **
a) Calculate the missing value ‘?’.
b) Construct the 97% confidence interval for the population mean weight loss for participants on this popular weight loss programme. c) State the null and the alternative hypotheses for this test. d) Determine the missing value ‘∗’.
e) Use the tables provided to approximate the missing value ‘∗∗’.
f) Using a level of significance α of 5%, state the decision and conclusion for this test.
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