A student group claims that first-year students at a university should study 2.5

Question

A student group claims that first-year students at a university should study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A survey of 51 randomly selected students finds that on average students study 144 minutes per night with a standard deviation of 33 minutes. What conclusion can be made from this data?

Select one:

The p-value is less than .05, therefore we conclude that students study less than 150 minutes per night.

The p-value is less than .05, therefore we conclude that students study greater than 150 minutes per night.

The p-value is less than .05, therefore we do not have enough evidence to conclude that students study less than 150 minutes per night.

The p-value is greater than .05, therefore we do not have enough evidence to conclude that students study less than 150 minutes per night.

We do not have enough information to make a conclusion about this study.

Explanation / Answer

here null hypothesis:Ho: mean =150 minutes

alternate hypothesis: Ha: mean <150

std errror=std deviation/(|n)1/2 =4.6209

hence test stat t=(X-mean)/std error=(144-150)/4.6209=-1.2984

for above p vlaue =0.100

The p-value is greater than .05, therefore we do not have enough evidence to conclude that students study less than 150 minutes per night.

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