Part 2. Evaluate probabilities using the laws of probability, the standard normal distribution, t-distribution, or X2-distribution.

Mike's Ice Cream shop sells ice cream and related products. Past experience indicates that the daily sales follow a probability distribution that has a mean of $1000 and a standard deviation of $300. What is the probability that a randomly selected sample of seven days, the daily sales will have a mean of at most $880?
Show all steps to your calculations.

Part 3: Use hypothesis testing to investigate claims involving one or two samples, utilizing the standard normal distribution, t-distribution, r-distribution, and X2-distribution.

Each of a random sample of ten college freshmen takes a mathematics aptitude test both before and after undergoing an intensive training course designed to improve such test scores. Then the scores for each student are paired, as shown in the table.

... Normal Probabilities. ...Probability for X > X Value 66000 Z Value 3 P(X>66000) 0.00135. ... Critical Value 2.575829304 p-Value 1.55648E-06 Reject the null hypothesis. ...

... by step method for the calculation of probability, confidence interval ... 8. (a). Give the hypotheses. ... 1.317835934 p -Value 0.059762543 Reject the null hypothesis. ...

... Will the automaker get a tax break, using a 5% probability level? ... c. Following the steps of hypothesis testing: i. State the hypotheses. ii. ...

... associated with z = 2 in part a. The probability that a ... use z-scores, but now we're testing a hypothesis. ... First we have to define the hypotheses we are testing...

... Normal Probabilities. ...Probability for X<6 or X >7 P(X<6 or X >7) 0.1140. ... Upper Critical Value 2.552379630 p -Value 0.080214641 Do not reject the null hypothesis. ...

... D: Why do null and alternative hypotheses have to be ... in the z-score table) to reflect a two-tailed hypothesis? How would you arrive at a probability value to ...

... State the null and alternate hypotheses Null hypothesis Alternative hypothesis H0: σ ... The solution examines hypothesis testing, ANOVA, and probability. ...

... in order to calculate a normally distributed probability of the ... to use the normal distribution table for probabilities, what are ... The alternative hypothesis is. ...

... between Indiana and Jacksonville, we could run " t test assuming equal ... The solution discusses supporting hypothesis testing and establishing probabilities. ...