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Cost (INR) 1596 2852 3343 2609 2175 1776 3119 1792 3006 3671 1982 2611 1510 2147 2288 3151 3896 2790 1713 1969 1526 1622 3379

Cost (INR)

1596

2852

3343

2609

2175

1776

3119

1792

3006

3671

1982

2611

1510

2147

2288

3151

3896

2790

1713

1969

1526

1622

3379

3515

2601

1984

2325

3434

2143

3286

3793

3719

2416

3129

2416

1878

2510

1981

3947

3318

3107

3372

3898

1585

1808

2169

3327

3499

3647

2372

2791

3545

3687

3742

3598

3872

1750

3973

3181

2370

2556

1598

3178

3619

2687

2335

2681

3313

2904

2545

2177

3323

2475

2418

4

The average monthly fees for high schools in Chhattisgarh in 2019 was INR 2950. The government of Chhatisgarh has requested a small study to estimate monthly fees in 2021. A sample of 75 will be used. Based on past studies, the population standard deviation is assumed known with .

a

What is the margin of error for a 95% confidence interval of the mean monthly fees for high schools in Chhatisgarh?

b

The data set alongside contains monthly fee data collected from 75 high schools in Chhatisgarth in 2021. Use this data set to compute the sample mean. Using this sample, what is the 95% confidence interval for the mean monthly fee for high schools in Chattisgarth?

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