A manufacturer must test that his bolts are 1.00 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 64 randomly selected bolts off the assembly line, he calculates the sample mean to be 1.05 cm . He knows that the population standard deviation is 0.18 cm . Assuming a level of significance of 0.05 , is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places. Answer 2 Points

Which sampling Which sampling method is better? Why? Which sampling method you might use in Assignment \# 2 (Marketing Dashboard)? Why?

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

(b) Hitung sisihan piawai bagi tinggi, dalam cm , murid tingkatan 5 Kristal dengan diteri silai min ketinggian murid tersebut adalah 155.5 cm . Calculate the standard deviation of the height, in cm , of pupils in form 5 Kristal by given the mean value of the height of the pupils is 155.5 cm . [3 markah/ marks] (c) Dengan menggunakan skala 2 cm kepada 5 cm pada paksi mengufuk dan 2 cm kepada seorang murid pada paksi mencancang, lukis histogram bagi maklumat tersebut. Using a scale of 2 cm to 5 cm on the horizontal axis and 2 cm to a pupil on the vertical cris, draw a histogram for the information.

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. \( |7|=0 \)