stats questions pt 1

Prior to the 1999-2000 season, the National Basketball Association (NBA) made several rule changes designed to increase scoring. The average number of points scored in the previous season had been 183.2. A random sample of 25 games from the 1999-2000 season had a sample mean of 195.88 pts per game, a sample median of 196 pts per game and a sample standard deviation of 20.27 pts. The dot-plot of the data is shown below.

Dotplot of points per game

The researchers are trying to determine if the average number of points per game has increased from the previous season. Use this information to answer the following questions.

Flag this QuestionQuestion 13 pts

Describe the parameter in this study without referring to a value for the parameter.

Group of answer choices

LaTeX: mu
$Î¼$
$Î¼$ is 183.2 points per game on average.

LaTeX: mu
$Î¼$
$Î¼$ is the sample mean pts per game for the 1999-2000 basketball season.

LaTeX: mu
$Î¼$
$Î¼$ is the population mean pts per game for the 1999-2000 basketball season.

Flag this QuestionQuestion 23 pts

State the null hypothesis in words only. Do not refer to a value for the parameter.

Group of answer choices

The population average points per game has changed from the previous season.

The population average points per game has increased from the previous season.

The population average points per game has not changed from the previous season.

The population average points per game is 183.2.

Flag this QuestionQuestion 33 pts

State the alternative hypothesis in words only. Do not refer to a value for the parameter.

Group of answer choices

The population average points per game has increased from the previous season.

The population average points per game has changed from the previous season.

The population average points per game is 183.2.

The population average points per game has not changed from the previous season.

Flag this QuestionQuestion 43 pts

State the null and alternative hypothesis using symbols and notation.

Group of answer choices

$LaTeX: H_0:hat{p} = 183.2 text{ vs } H_A:hat{p} data-verified=$ 183.2″>
$H_{0} : \hat{p} = 183.2 vs H_{A} : \hat{p} > 183.2$
$H_{0} : \hat{p} = 183.2 vs H_{A} : \hat{p} > 183.2$

$LaTeX: H_0:hat{p} = 183.2 text{ vs } H_A:hat{p} neq 183.2$
$H_{0} : \hat{p} = 183.2 vs H_{A} : \hat{p} â‰ 183.2$
$H_{0} : \hat{p} = 183.2 vs H_{A} : \hat{p} â‰ 183.2$

$LaTeX: H_0:mu = 183.2 text{ vs } H_A:mu data-verified=$ 183.2″>
$H_{0} : Î¼ = 183.2 vs H_{A} : Î¼ > 183.2$
$H_{0} : Î¼ = 183.2 vs H_{A} : Î¼ > 183.2$

$LaTeX: H_0:mu = 183.2 text{ vs } H_A:mu neq 183.2$
$H_{0} : Î¼ = 183.2 vs H_{A} : Î¼ â‰ 183.2$
$H_{0} : Î¼ = 183.2 vs H_{A} : Î¼ â‰ 183.2$

Flag this QuestionQuestion 53 pts

Are the validity conditions satisfied to use the theory-based approach for this hypothesis test? Explain clearly why or why not.

Group of answer choices

Yes, LaTeX: n = 25 data-verified= 20″>
$n = 25 > 20$
$n = 25 > 20$ and the sample data from the dot-plot is not too skewed.

Yes, n = 25 > 20.

Yes, the number of success and failures is greater than 10.

Flag this QuestionQuestion 612 pts

The statistical test ended up with a p-value LaTeX: =0.0031
$= 0.0031$ . Using LaTeX: alpha = 0.01
$Î± = 0.01$ , select all of the following statements that are correct. There may be none, one or more than one.

Group of answer choices

The statistical results are unlikely if the null is true.

The results are statistically significant.

We would not reject the null hypothesis.

There is little to no strength of evidence against the null.

The null is not a plausible explanation for what we observed.

Flag this QuestionQuestion 73 pts

The statistical test ended up with a standardized statistic of LaTeX: t=3.01
$t = 3.01$ . Interpret this value in terms of distance.

Group of answer choices

There is strong evidence against the null.

LaTeX: bar{x}
$\overset{Â¯}{x}$
$\overset{Â¯}{x}$ is 3.01 SD greater than LaTeX: mu
$Î¼$
$Î¼$ .

LaTeX: bar{x}
$\overset{Â¯}{x}$
$\overset{Â¯}{x}$ is 3.01 SD less than LaTeX: mu
$Î¼$
$Î¼$ .

LaTeX: hat{p}
$\hat{p}$
$\hat{p}$ is 3.01 SD greater than LaTeX: pi
$Ï€$
$Ï€$ .

Flag this QuestionQuestion 810 pts

Select all of the following statements that are true for this study. There may be more than one or none.

Group of answer choices

The researchers used an unbiased sampling method.

This sample of 25 games represents the population of all NBA games in the 1999-2000 season.

The study used convenience sampling to get the sample.

The results of this study only apply to the sample and can not be generalized to the population.

Flag this QuestionQuestion 94 pts

Calculate the 2SD CI using the formula $LaTeX: bar{x} pm 2 cdot bigg( dfrac{s}{sqrt{n}} bigg)$
$\overset{Â¯}{x} Â\pm 2 â‹\dots (\frac{s}{\sqrt{n}})$ . Do not round any values until the final answer. Round the lower and upper bounds to 1 decimal place.