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The heights of ten mails of a given locality are found to be 70, 67, 62, 68, 61, 68, 70, 64, 64, 66 (inches). Is it reasonable to believe that the average height is 64 inches. Test at
5% significant level assuming that for 9 degrees of freedom is 1.833.

The heights of ten mails of a given locality are found to be $70, 67, 62, 68, 61, 68, 70, 64, 64, 66$ (inches). Is it reasonable to believe that the average height is $64$ inches. Test at $5 \%$ significant level assuming that for $9$ degrees of freedom is $1$ . $833$ .

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Convert between customary and metric systems

Full solution

Q. The heights of ten mails of a given locality are found to be

70, 67, 62, 68, 61, 68, 70, 64, 64, 66

(inches). Is it reasonable to believe that the average height is

64

inches. Test at

5 \%

significant level assuming that for

9

degrees of freedom is

1

.

833

.

Calculate Mean: First, we need to calculate the sample mean (average height) of the given data. $\newline$ The heights are: $70$ , $67$ , $6.5$ , $68$ , $61$ , $68$ , $70$ , $64$ , $64$ , $66$ inches. $\newline$ Let's add these up and divide by the number of data points ( $67$ $0$ ) to find the mean. $\newline$ Calculation: $67$ $1$
Correct Transcription Error: There seems to be a mistake in the transcription of the heights. The height $6\left(\frac{1}{2}\right)$ should be $61.5$ instead of $6.5$ . Let's correct this and recalculate the mean. $\newline$ Corrected calculation: $\frac{70 + 67 + 61.5 + 68 + 61 + 68 + 70 + 64 + 64 + 66}{10}$

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