\begin{tabular}{l} A manufacturer must test that his bolts are 2.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too \\ long or too short. After sampling 169 randomly selected bolts off the assembly line, he calculates the sample mean to be 2.05 cm . He knows that the \\ population standard deviation is 0.29 cm . Assuming a level of significance of 0.01 , is there sufficient evidence to show that the manufacturer needs \\ to recalibrate the machines? \\ Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. \\ \( \qquad H_{0}: \mu=2.00 \) \\ \hline\end{tabular}

What is a scatter plot?

The strongest finding from the data was that the top 10 finishes occurred as the top predictor of winnings among the drivers. The p-value of 0.0068 provides a significant relationship and its relatively high, \( t \)-statistics of 2.91 , compared to other variables. Poles, Wins, and Top 5 finishes were expected to give us more predictive power, but showering the low \( t \)-stats, suggesting weak or no true relationship to the winnings. Based on these findings while wins and poles are important for achieving overall success in NASCAR, they do not appear to directly drive winnings as strongly as top 10 finishes. To support this, the regression model demonstrated the coefficient for the top 10 finishes. The top 10 finish is associated with an increase of \( \$ 112,822 \) in winnings. The substantial contribution compared to the negligible coefficients for poles or wins, reinforces the importance of consistency over singular achievements.I Review your peer's post. In a minimum of 100 words each, respond in a substantive manner, and provide information that they may have missed or may not have considered regarding the inferences that can be drawn from the application of Multiple Regression in business and economics. Do you agree with their conclusions? Why or why not? -

What is a scatter plot?

15. Suppose data collected for heights (in cms) of 390 cows were tabulated in a frequency distribution and the following results were obtained. fi: \( 6,25,48,72,116,60,38,22,3 \) CMI \( =112, \mathrm{CM} 2=117 \) where CMi ith class mark Determine: a) Class interval size (class width), Class limits, Class boundaries and class marks b) The less than cumulative frequency distribution c) The class intervals having the highest frequency d) Above which height do we find \( 50 \% \) of the cows? c) Below which height do we get \( 25 \% \) of the cows? Draw a) histogram b) a frequency polygon c) C. a less than ogive for the above data

61. Mode is the value with maximum frequency in the data. 62. Fermions are classified as Leptons and Baryons. 63. A muxture in which the composition is not uniform throughout is called heterogeneous mixture 64. The arithmetic mean of first ' \( n \) ' natural numbers is \( \frac{n}{2} \) ' 65. Symmetric encryption is slower than asymmetric encryption. 66. \( |7|=0 \)